y + 3 = (x - 6)
“Identify the slope and a point on a line, then graph the line”

How would I graph it with no slope and only one point?

Answers

Answer 1

Answer:

  see attached

Step-by-step explanation:

Given the equation for a line, y +3 = (x -6), you want to identify the slope and a point on the line, then graph it.

Point-slope form

The point-slope form of the equation for a line is ...

  y -k = m(x -h) . . . . . . . . line with slope m through point (h, k)

Comparing this to the given equation, you can see ...

k = -3m = 1 . . . . . . . . . . a coefficient of 1 is often "missing" or "implied"h = 6

This tells you the slope is 1 and a point on the line is (6, -3).

Graph

You graph this equation by plotting point (6, -3) and drawing a line through it that goes up 1 unit for each 1 unit to the right. A graph is attached.

__

Additional comment

If you like, you can rearrange the equation to slope-intercept form by subtracting 3:

  y +3 -3 = (x -6) -3

  y = x -9

This tells you another point is -9 on the y-axis.

Y + 3 = (x - 6)Identify The Slope And A Point On A Line, Then Graph The LineHow Would I Graph It With

Related Questions

Find the missing length indicated.

Answers

Answer:

hope it help

the last answer is 6

I showed you step by step. for any explanation write it in the comment

Find the 15th term in the geometric sequence 20,10,5,2.5

Answers

The 15th term of the given geometric sequence will be (C) 5/4096.

What is a geometric sequence?

Mathematicians refer to a succession of non-zero numbers as a geometric progression or geometric sequence.

Each term after the first is derived by multiplying the previous term by a fixed, non-zero value called the common ratio.

So, the geometric sequence will be:

nth term formula: aₙ = a₁rⁿ⁻¹

Now, insert the values and calculate as follows:

aₙ = a₁rⁿ⁻¹

a₁₅ = 20(1/2)¹⁵⁻¹

a₁₅ = 20(1/2)¹⁴

a₁₅ = 20(1/16384)

a₁₅ = 20/16384

a₁₅ = 5/4096

Therefore, the 15th term of the given geometric sequence will be (C) 5/4096.

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Complete question:
Find the 15th term in the geometric sequence below. 20, 10, 5, 2.5, . . .

A.-25/4,096

B.-5/4,096

C.5/4,096

D.25/4,096

When writing 2–√5
2
5
as 2n
2
n
, which statement is true about the value of n
n
?

Responses

The value of n
n
is 15
1
5
because (2–√5)5=21
(
2
5
)
5
=
2
1
and (21/5)5=21
(
2
1
/
5
)
5
=
2
1
, so 2–√5=21/5
2
5
=
2
1
/
5
.
The value of n is 1 5 because ( 2 5 ) 5 = 2 1 and ( 2 1 / 5 ) 5 = 2 1 , so 2 5 = 2 1 / 5 .

The value of n
n
is 15
1
5
because (2–√5)5=21
(
2
5
)
5
=
2
1
and (21/5)5=20
(
2
1
/
5
)
5
=
2
0
, so 2–√5=21/5
2
5
=
2
1
/
5
.
The value of n is 1 5 because ( 2 5 ) 5 = 2 1 and ( 2 1 / 5 ) 5 = 2 0 , so 2 5 = 2 1 / 5 .

The value of n
n
is −5

5
because (2–√5)5=21
(
2
5
)
5
=
2
1
and (2−5)5=21
(
2

5
)
5
=
2
1
, so 2–√5=2−5
2
5
=
2

5
.
The value of n is − − 5 because ( 2 5 ) 5 = 2 1 and ( 2 − − 5 ) 5 = 2 1 , so 2 5 = 2 − − 5 .

The value of n
n
is −5

5
because (2–√5)5=21
(
2
5
)
5
=
2
1
and (2−5)5=20
(
2

5
)
5
=
2
0
, so 2–√5=2−5
2
5
=
2

5
.
The value of n is − − 5 because ( 2 5 ) 5 = 2 1 and ( 2 − − 5 ) 5 = 2 0 , so 2 5 = 2 − − 5 .

Answers

The true statement about n is (a) The value of n is 1/5 because (⁵√2)⁵ = 2¹ and (2¹/⁵)⁵ = 1, so ⁵√2 = 2¹/⁵

How to determine the true statement about n?

From the question, we have the following parameters that can be used in our computation:

Expression =  ⁵√2

Also from the question, we understand that the expression is to be expressed as

2ⁿ

This means that

⁵√2 = 2ⁿ

Re-express ⁵√2 using the law of indices

2ⁿ = 2¹/⁵

By comparison, we have

n = 1/5

This means that the value of n is 1/5

Hence, the true statement is (a)

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Answer:

1236

Step-by-step explanation:

Sam invests $ 4500 into an account earning 7.25% interest compounded quarterly. How long will it take to double his money?

Doubling time in years =

Answers

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \stackrel{doubled}{\$9000}\\ P=\textit{original amount deposited}\dotfill &\$4500\\ r=rate\to 7.25\%\to \frac{7.25}{100}\dotfill &0.0725\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years \end{cases}[/tex]

[tex]9000=4500\left(1+\frac{0.0725}{4}\right)^{4\cdot t} \implies \cfrac{9000}{4500}=\left(1+\frac{0.0725}{4}\right)^{4\cdot t} \\\\\\ 2=1.018125^{4t}\implies \log(2)=\log(1.018125^{4t})\implies \log(2)=t\log(1.018125^{4}) \\\\\\ \cfrac{\log(2)}{\log(1.018125^{4})}=t\implies 9.65\approx t\qquad \textit{about 9 years and 8 months}[/tex]

Hmm not sure wish I could help

Kiki painted 15 of her bookshelf on Monday and 56 of her bookshelf on Tuesday. She says she has painted ​611​ of her bookshelf.

Answers

what are we supposed to be solving

Answer:

Step-by-step explanation:

duh

This season, the probability that the Yankees will win a game a is 0.53 and the
probability that the Yankees will
score 5 or more runs in a game is 0.48. The
probability that the Yankees win and score
and score 5 or more runs is 0.42. What is the
probability that the Yankees will lose when they score 5 or more runs? Round
your answer to the nearest thousandth.

Answers

The probability that the Yankees will lose when they score 5 or more runs is equal to 0.2766.

What is Conditional Probability?

Conditional probability, or P(A/B), denotes the likelihood of event A that is dependent on event B.The chance of an event occurring given that another event has already occurred (via assumption, supposition, assertion, or evidence) is known as conditional probability in the field of probability theory.This particular approach assumes that event B occurs in some way related to event A. A conditional probability analysis with respect to event B in this scenario can be performed.The conditional probability formula is given as, [tex]P(M/N)=\frac{P(M\cap N)}{P(N)}[/tex]

From the question, we know that the probability that the Yankees will win a game is 0.53.

[tex]\implies P(W)=0.53[/tex]

Also, then the probability that the Yankees will lose a game is given as,

[tex]P(L)=1-P(W)\\\implies P(L)=1-0.53\\\implies P(L)=0.47[/tex]

It is also given that, the probability that the Yankees will score 5 or more runs is 0.48.

[tex]\implies P(A)=0.48[/tex]  -----(1)

So, the probability that the Yankees will score less than 5 runs is,

[tex]P(S)=1-P(A)\\\implies P(S)=1-0.5\\\implies P(S)=0.5[/tex]------(2)

We also know the probability that the Yankees will win and score 5 or more runs is 0.42.

[tex]\implies P(B)=0.42[/tex]

Also, then the probability that the Yankees will lose or score less than 5 runs is given as,

[tex]P(C)=1-P(B)\\\implies P(C)=1-0.42\\\implies P(C)=0.58[/tex]

Next, the probability that the Yankees will lose and score less than 5 runs is,

[tex]P(D)=0.42+0.5-0.58\\\implies P(D)=0.34[/tex]

Now, the required probability is the probability that the Yankees will lose and score 5 or more runs.

It can be calculated using the conditional probability formula, [tex]P(M/N)=\frac{P(M\cap N)}{P(N)}[/tex]

So, the required probability  that the Yankees will lose and score 5 or more runs is given as,

P(they score 5 or more runs / probability that they lose game) = P(they lose and score 5 or more runs) / P(they lose the game)

[tex]\implies P(E)=\frac{0.47-0.38}{0.47} \\\implies P(E)=0.2766[/tex]

Therefore, the probability that the Yankees will lose when they score 5 or more runs is equal to 0.2766.

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Use the image to answer the question.
What is the surface area of the figure in square centimeters?
Enter your answer as a number, like this: 42

Answers

Answer:

66 [tex]cm^{2}[/tex]

Step-by-step explanation:

Front: 6 x 5 = 30

Back:  6 x 4 = 24

Left side: 1/2 (3 x 4) =6

Right side: 1/2 ( 3 x 4) 6

Add

30 + 24 + 6 + 6 = 66

Someone please help me I’m dying hereThank you so muchhh!

Answers

By using the formula for area of rectangle, it can be calculated that-

a) Expression for total area = [tex]6^2 + 2 \times 6 + 24[/tex]

Total area = 72 square inches

b) Length of the figure =  9 inches

Breadth of the figure =  8 inches

What is area of a rectangle?

Area of a rectangle is the total space taken by the rectangle.

If l is the length of the rectangle and b is the breadth of the rectangle, then area of the rectangle is calculated by

Area = l [tex]\times[/tex] b

Side of the square = 6 inches

Area of the square = [tex]6^2[/tex] square inches

Length of white rectangle = 2 inches

Breadth of white rectangle = 6 inches

Area of white rectangle = [tex]2 \times 6 =[/tex] 12 square inches

Area of blue rectangle  = 24 square inches

Total area = [tex]6^2 + 2 \times 6 + 24[/tex] =

                     36 + 12 + 24 =

                     72 sq. inches

b) Let the breadth of the blue rectangle be b inches

Length of the blue rectangle = 2 + 6 = 8 inches

Total area = 8b square inches

By the problem,

[tex]8b = 24 \\b = \frac{24}{8}\\[/tex]

b = 3 inches

Length of the figure = 6 + 3 = 9 inches

Breadth of the figure = 2 + 6 = 8 inches

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is the point (-5, 1) on the line y=-2x-9

Answers

Answer:

No

Step-by-step explanation:

1 = 2(-5) - 9

1 = -10 - 9

1 ≠ -19, therefore that point does not lie on the line

An employee who earns $12/hour, worked 37 hours this week, is paid a commission of $40 for each sale, and makes 9 sales during the same week, has earned total commissions of $ .

Answers

The total commission that's earned will be $360.

How to illustrate the expression?

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

In this case, an employee who earns $12/hour, worked 37 hours this week, is paid a commission of $40 for each sale, and makes 9 sales during the same week. Employees receive commission, also referred to as a sales commission, based on the sales they generate. A sales commission is a payment made to an employee after they successfully complete a task, typically selling a predetermined volume of goods or services. Sales commissions are a common incentive used by employers to boost employee productivity. A commission can be paid instead of or in addition to a salary.

The total commissions will be:

= Amount of commission × Number of sales

= $40 × 9

= $360

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Factor the polynomial, 3x^2+x-10

Answers

[tex]3x^2+x-10=\boxed{(x+2)(3x-5)}[/tex]

RECALL
Set 4: Given the center and a point on the circle.
Distance Formula
13. center. (9, 10),
point on circle: (7,4)
15. center: (2,-6),
point on circle: (1,10)
Midpoint Formula
14. center: (1.-5),
point on circle: (-7.-13)
16. center: (-2, 0),
point on circle: (-9,-4)

Answers

Given, centre (9,10) and point on circle is (7,4) distance is 6.32. And centre (2,-6) and point on circle(1,10) distance is 16.03. Given centre(1, -5) and point of circle(-7,-13) midpoint is (-3,-9). And centre(-2,0) and point on circle (-9,-4) midpoint is (-5.5,-2).Define Distance.

Distance is the measure from one point to another point. Given, any two points distance is [tex]\sqrt{(x1-x2)^{2} }+\sqrt{(y1-y2)^{2} }[/tex].

Define Midpoint.

Midpoint is the mid-value of two points.

Midpoint = [ x₁+x₂/2 , y₁+y₂/2]

So, for the given centre (9, 10) and point on circle(7,4)

Centre = [tex]\sqrt{}[/tex](9-7)²+(10-4)²

= [tex]\sqrt{}[/tex]4+36

= 6.32

For the given centre (2,-6) and point on circle (1,10)

Centre = [tex]\sqrt{}[/tex](2-1)²+(-6-10)²

=[tex]\sqrt{}[/tex]1+256

=16.03

For  given centre (1,-5) and point on circle(-7,-13)

Midpoint = [ 1-7/2 , -5-13/2]

= [-3, -9]

For given centre(-2,0) and point  on circle(-9,-4)

Midpoint = [-2-9/2 , 0-4/2]

= [-5.5,-2]

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Given, center (9,10) and point on circle is (7,4) distance is 6.32. And center (2,-6) and point on circle (1,10) distance is 16.03.

Given center (1, -5) and point of circle(-7,-13) midpoint is (-3,-9). And center (-2,0) and point on circle (-9,-4) midpoint is (-5.5,-2).

What is Distance and midpoint?

Distance is the measure from one point to another point. Given, any two points distance is -

[tex]\sqrt{x_1^2-x_2^2} +\sqrt{y_1^2-y_2^2}[/tex]

Midpoint is the mid-value of two points. Midpoint = [(x₁+x₂)/2, (y₁+y₂)/2]

So, for the given center (9, 10) and point on circle(7,4)

Center = (9-7)²+(10-4)²

= 4+36

= 6.32

For the given center (2,-6) and point on circle (1,10)

Center = (2-1)²+(-6-10)²

= 1+256

= 16.03

For  given center (1,-5) and point on circle(-7,-13)

Midpoint = [ 1-7/2 , -5-13/2]

               = [-3, -9]

For given center (-2,0) and point  on circle(-9,-4)

Midpoint = [-2-9/2,0-4/2]

               = [-5.5,-2]

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Question Solve 6=t/5

Answers

Answer:

30=t i think

Step-by-step explanation:

So basically what you do is since it is division you would multiply 5 by its self and you multiply on the other side because if you do something on one side you have to do it on another so that would leave you with 30=t

6=t/5

Multiply 5 to both sides

30=t

Swap side

T=30


Brainly pls

Graph the following features:
•Slope = 4/5
•y- intercept = 1

Answers

An equation of a line with slope(m) = 4/5 and y-intercept(b) = 1 can be formed as y = (4/5)x + 1.

What is the slope?

The slope is the rate of change of the y-axis with respect to the x-axis.

The equation of a line in slope-intercept form is y = mx + b, where

slope = m and y-intercept = b.

We know the greater the absolute value of a slope is the more steeper is it's graph or rate of change is large.

An equation of a line in slope-intercept form with slope(m) = 4/5 and

y-intercept(b) = 1 can be formed as y = (4/5)x + 1.

The graph of this line is attached below.

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a crate contains bags of basmati rice Which weigh 5 lb each and bags of jasmine rice which weigh 3 pounds each there are 20 bags in the crate the total, weight not counting the crate itself is 76 pounds. How many bags of basmati rice are there?

Answers

There are 8 bags of basmati rice are there if a crate contains bags of basmati rice Which weigh 5 lb each and bags of jasmine rice.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

a crate contains bags of basmati rice Which weigh 5 lb each and bags of jasmine rice which weigh 3 pounds each.

The equation can be framed:

x + y = 20

5x + 3y = 76

After solving

By substitution method:

we get:

y = 12

x = 20 - 12 = 8

Thus, there are 8 bags of basmati rice are there if a crate contains bags of basmati rice Which weigh 5 lb each, and bags of jasmine rice.

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Last year, the revenue for medical equipment companies had a mean of 80 million dollars with a standard deviation of 18 million. Find the percentage of companies with revenue between 73 million and 87 million dollars. Assume that the distribution is normal. Round your answer to the nearest hundredth.

Answers

The percentage of companies with revenue between 73 million and 87 million dollars is; 0.30

How to find the probability from a z-score?

The formula for z-score is;

z = (x' - μ)/σ

where;

x' is sample mean

μ is population mean

σ is standard deviation

We are given;

Population mean; μ = 80 million

Population standard deviation; σ = 18 million

The percentage of companies with revenue between 73 million and 87 million dollars is expressed as;

P(73 < X < 87)

z₁ = (73 - 80)/18

z₁  = -0.389

z₂ = (87 - 80)/18

z₂ = 0.389

Using probability between two z-scores, we have;

P(-0.389 < Z < 0.389) ≈ 0.30

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Work out the volume of this half-cylinder.
Give your answer in terms of π.
The diagram is not drawn to scale.

Answers

Answer:

Vhc = 401.92 cm3

Step-by-step explanation:

Vcylender = Pi*r2*h

Vhalfcyldr = (Pi*r2*h)/2

then

h= 16cm

r = 8cm/2 = 4cm

then

Vhalfcylinder = ((3.14)*(4)2*16) / 2

Vhc = 401.92 cm3

4. What is the area of the triangle shown on the graph below?
(1) 10
(2) 11
(3) 14
(4) 25

Answers

Answer:

Step-by-step explanation:

The area of each triangle is one-half the area of the rectangle. So, the area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle.

From question 28 -29
Help please

Answers

You have it right pie = 7i so 7i-3j

Write the equation of the line that passes through (7,-4) and (-1,-2) in slope intercept form

Answers

The answer would be: Y= -1/4x - 7/4

write each decimal as a fraction or mixed number in simplest form

1.-0.14
2.0.27

Answers

Write each decimal as a fraction or mixed number in simplest form

-0.14

= -14/100

= -7/50

_________________________

0.27

= 27/100

I AM ON A TEST HELP WHAT IS THE MAXIMUM OR MINIMUM VALUE AND WHAT ARE THE COORDINATES OF THE VERTEX y=2x^2+12x+5

Answers

The parabola's vertex is (-3/2, -22). Because this is the lowest point on the parabola, the function's minimum value is -22.

To determine the maximum or minimum value of the quadratic function y = 2x² + 12x + 5, you need to find the vertex of the parabola formed by this function.

To find the vertex of the parabola, you can use the formula x = -b / (2a), where x is the x-coordinate of the vertex, a is the coefficient of the x² term, and b is the coefficient of the x term.

In this case, the coefficient of the x² term is 2, and the coefficient of the x term is 12. Therefore, the x-coordinate of the vertex is x = -12 / (2×2) = -6 / 4 = -3/2.

To find the y-coordinate of the vertex, you can substitute the x-coordinate back into the original equation:

y = 2(-3/2)² + 12(-3/2) + 5 = 2(-9/4) + (-18) + 5 = -9 + (-18) + 5 = -22.

Therefore, the vertex of the parabola is (-3/2, -22). This is the lowest point on the parabola, so the minimum value of the function is -22.

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PLEASE HELPPP ASAP I REALLY NEED MATH HELPPPP

Answers

The graph of the odd-degree polynomial reaches positive and negative infinity.

What is the end behavior of a polynomial?

A polynomial function's final behavior is how its graph behaves as x gets closer to positive or negative infinity.

The graph's final behavior is determined by a polynomial function's degree and leading coefficient.

The given polynomial is shifted towards the left it reaches negative infinity quicker than positive infinity.

Also, the graph of the polynomial is of odd degree as it is symmetric about the origin shifted towards left.

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The quadrilateral ABCD is a parallelogram if pairs of consecutive angles are supplementary. Given the angle measures, prove that quadrilateral ABCD is a parallelogram by finding the value of x. ∠A = 120 − 2x ∠B = 70 + x ∠C = 105 − x2 ∠D = 40 + 4x

Answers

The value of x from the parallelogram ABCD is 10.

What is parallelogram?

A parallelogram is a special kind of quadrilateral that is formed by parallel lines. The angle between the adjacent sides of a parallelogram may vary but the opposite sides need to be parallel for it to be a parallelogram. A quadrilateral will be a parallelogram if its opposite sides are parallel and congruent.

Given that, ∠A=120-2x, ∠B=70+x, ∠C=105-x² and ∠D=40+4x.

The quadrilateral ABCD is a parallelogram if pairs of consecutive angles are supplementary.

Here, ∠A and ∠D are consecutive angles

Now, 120-2x+40+4x=180

⇒ 160+2x=180

⇒ 2x=20

⇒ x=10

So, ∠A=120-2x=100, ∠B=70+x=80, ∠C=160-6x=100 and ∠D=40+4x=80

Therefore, the value of x is 10.

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"Your question is incomplete, probably the complete question/missing part is:"

The quadrilateral ABCD is a parallelogram if pairs of consecutive angles are supplementary. Given the angle measures, prove that quadrilateral ABCD is a parallelogram by finding the value of x. ∠A=120-2x, ∠B=70+x, ∠C=160-6x and ∠D=40+4x.

I need help I don’t know what to do can someone help me?

Answers

Answer:

Below

Step-by-step explanation:

These are both equations of lines.....one has slope =6 and the other has slope = 4   so they will cross at ONE point

Help me pls thank u

Answers

The value of slope for line equation 1 is -5/2. The value of slope for line equation 2 is 5/3.

What is slope?

A line's steepness may be determined by looking at its slope. Slope is computed mathematically as "rise over run" (change in y divided by change in x). The slope-intercept form of an equation is used whenever the equation of a line is expressed in the form y = mx + b. M represents the line's slope. B is the b in the location where the y-intercept is located (0, b). For instance, the slope and y-intercept of the equation y = 3x - 7 are 3 and 0, respectively.

Here,

y=mx+c

where m is slope.

line equation 1,

y=-5/2x-5

m=-5/2

line equation 2,

y=5/3x

m=5/3

For line equation 1, the slope is equal to -5/2. For line equation 2, the slope is equal to 5/3.

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Please help me. Any answers help

Answers

Answer:

unexplainable

Step-by-step explanation:

does not make since

The graph represents the journey of a bus from the bus stop to different locations:
Part A: Use complete sentences to describe the motion of the bus in parts 1,2,3,4, and 5 of the journey. (4 points)
Part B: In which parts of the graph is the function increasing, decreasing, and constant? (4 points)
Part C: Is the graph linear or non-linear? Explain your answer. (2 points)

Answers

Answer:

Step-by-step explanation:

Part A:

For number 1, the bus drives non-linear. It is not a constant rate but it is increasing.

For number 2, the bus is at a stopping point.

For number 3, the bus drives in a non-linear rate but it still increasing.

For number 4, the bus is at its last stop, the middle of the bus ride, the peak of the time.

For number 5, the bus comes to a non-linear decrease in the route. and eventually the end.  

Part B:  

The bus is increasing in numbers 1 and 3, and decreasing for number 5, and at a constant at numbers 2 and 4.  

Part C:  

The graph is non-linear, as the slope is not at a constant.

Answer:

Sorry i don't know. But i think this is a good priblem

Evaluate the verbal expression below where x = 3 and y = 4.


The quantity of 6 less than y, raised to the power of x
A. 8
B. 58
C. -58
D. -8

Answers

The evaluated expression the quantity of 6 less than y, raised to the power of x is - 8. Therefore, the correct option is D.

How to evaluate an expression?

The quantity of 6 less than y, raised to the power of x can be expressed as follows:

The verbal expression can be converted to a mathematical expression as follows:

(y - 6)ˣ

when

y = 4

x = 3

Therefore,

(y - 6)ˣ = (4 - 6)³

Therefore,

(4 - 6)³ = (-2)³

(-2)³ = -8

Therefore, the evaluated expression is -8.

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Determine whether AGHI and AJKL with the given vertices are similar. Use transformations to explain your reasoning.
G(-2, 3), H(4, 3), I(4, 0) and J(1, 0), K(6.-2), L(1, -2)

Answers

A resemblance While retaining shape, metamorphosis can alter both location and size.

What is the connection between transformations and similar figures?

When the sides of two figures are proportionate and the accompanying angles are congruent, the figures are said to be comparable.

Get the two triangles to face in the same direction, or in the same orientation, to check if they resemble one another. You accomplish this by turning one shape so that it is in alignment with the other. A rotation is the name given to such a change.

Similarity refers to two figures that share the same shape but differ in size. A rigid motion and a rescaling make up a similarity transformation. To put it another way, a similarity transformation may change both location and size while maintaining shape.

Let the given points be G(-2, 3), H(4, 3), I(4, 0) and J(1, 0), K(6.-2), L(1, -2).

A resemblance While retaining shape, metamorphosis can alter both location and size.

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Answer:

  not similar

Step-by-step explanation:

You want to know if ∆GHI ~ ∆JKL when they are defined by coordinates G(-2, 3), H(4, 3), I(4, 0) and J(1, 0), K(6.-2), L(1, -2).

Similar triangles

Corresponding angles of similar triangles are congruent, and corresponding sides are proportional.

Here, angle G is an acute angle less than 45°, while corresponding angle J is an acute angle greater than 45°. These corresponding angles in the similarity statement are not congruent, so the similarity statement is false.

__

Additional comment

Side ratios in ∆GHI are 3 : 6 : 3√5 = 1 : 2 : √5.

Side ratios in ∆JKL are 2 : 5 : √29.

For comparison purposes, we like to list them shortest to longest.

These ratios are different, so even if the order of the vertices were straightened out, the triangles still would not be similar. If the triangles had the same side length ratios, the vertex order for a proper similarity statement would be ∆GHI ~ ∆KLJ.

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