Jeffrey made a scale drawing of a house and its lot. He used the scale 7 inches : 4 feet. If the actual width of the backyard is 48 feet, how wide is the yard in the drawing?

First one is B (43) and the second one is C (35)!

Answer:

(x-7)²+y²=9

Step-by-step explanation:

There is a formula used for the equation of a circle:

(x-h)²+(y-k)² = r²

(h, k) is the center of the circle

r is the radius

In this case, (h, k) is (7, 0)

Plug in the values for h and k

∴ (x-7)²+(y-0)²=3² which can be simplified to (x-7)²+y²=9 (No need to expand the brackets)

Answer:

The solution for f(x) = g(x) are;

x = 1 and x = -1

Step-by-step explanation:

The given equations for the functions, g(x) are;

[tex]f(x) = \dfrac{1 + 2\cdot x}{x}[/tex]

g(x) = 2 + x

The solution for f(x) = g(x), is given by equating the equations of the two functions as follows;

When f(x) = g(x), we have;

[tex]\dfrac{1 + 2\cdot x}{x} = 2 + x[/tex]

By cross multiplication, we have;

1 + 2·x = x × (2 + x) = 2·x + x²

∴ x² + 2·x - 2·x - 1 = 0

x² - 1 = 0

(x - 1)·(x + 1) = 0

x = 1, or x = -1

f(x) = g(x) = 2 + 1 = 3, or 2 - 1 = 1

Therefore, the solution for f(x) = g(x) are;

f(x) = g(x) = 3 or 1 where x = 1 and x = -1.

Answer: a , b

Step-by-step explanation:

Answer:

Step-by-step explanation:

volume of rectangular prism = length * breadth * height

=6m * 5.5m * 4.5m

=148.5 m^3

Answer:

(x−1)(x−2)

Step-by-step explanation:

Answer:

4/15xy

step-by-step explanation:

2(1/3x) (2/5y)

= 2/3x × (2/5)y

= 2×2

xy

3×5

= 4/15xy

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

4/15xy

Step-by-step explanation:

2(1/3x) (2/5y)

= 2/3x × (2/5)y

= 2×2

xy

3×5

= 4/15xy

Answer:

The probability of number of success = C (n,k)p^kq^(n-k)

Step-by-step explanation:

This is the case of Bernoulli's experiment in which there are n independent trials with X number of success

The probability of number of success = C (n,k)p^kq^(n-k)

Where k = 0,1,2,3...n

Answer:

Let x be the price of a raffle ticket

(x+2)*223 = 1115

x=3

Step-by-step explanation:

Let x be the price of a raffle ticket

The amount they get is now x+2 since the admin is donating 2 dollars per ticket

The sold 223 tickets

(x+2) *223 = amount raised

(x+2)*223 = 1115

Divide each side by 223

x+2 = 1115/223

x+2 = 5

Subtract 2 from each side

x+2-2 =5-2

x=3

[tex] \quad \quad \quad \quad \tt{(x + 2) 223 = 1,115}[/tex]

[tex]\quad \quad \quad \quad \tt{ \huge x + 2 = \frac{1,115}{223} }[/tex]

[tex]\quad \quad \quad \quad \huge\tt{ x + 2 = 5 }[/tex]

[tex]\quad \quad \quad \quad \huge\tt{ x = 5 - 2}[/tex]

[tex]\quad \quad \quad \quad\huge \tt{ x = 3 }[/tex]

[tex]\quad \quad \quad \quad \boxed{ \huge \tt{ \color{green} x = 3 }}[/tex]

_________

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Answer:

x + 3

5

Explanation:

x+3 is the equation for the first line to the left, and f(x)=5 is the second equation for the second line at the top.

Answer:

ans is g=x^3+1

x=(-2-1,0,1,2,3)

again put the value of x

therefore g(x)=(-7,0,1,2,9,28)

Answer:

3:4

Step-by-step explanation:

That ratio would be 12:16, or 3:4.

The aspect ratio of a computer screen will be 4: 3.

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

The computer screen measures 12 inches by 16 inches.

Then the aspect ratio will be given by the number 16 inches divided by 12 inches.

We know that the aspect ratio will be greater than 1. Then the aspect ratio will be

Aspect ratio = 16 / 9

Aspect ratio = 4/3

Aspect ratio = 4: 3

The aspect ratio of a computer screen will be 4: 3.

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Answer:

3 meters

Step-by-step explanation:

Assuming the window is rectangular

A = l*h

18 = 6*h

Divide each side by 6

18/6 = 6h/6

3 = h

Answer:

ur answer is 8.06

Step-by-step explanation:

a² + b²= c²

4² + 7² = c²

16 + 49 = c²

65 sooo u do √65= 8.06

============================================================

Explanation:

Use the slope formula to find the slope of the given line through those two points (-3, 4) and (5, 1)

m = (y2-y1)/(x2-x1)

m = (1 - 4)/(5 - (-3) )

m = (1-4)/(5+3)

m = -3/8

The line shown has a slope of -3/8

----------

We do two things from here:

That will have -3/8 turn into +8/3 or simply 8/3 which is the perpendicular slope. That's why the answer is choice A.

Multiplying the original slope -3/8 with the perpendicular slope 8/3 will lead to -1. This is true of any perpendicular pair of lines, as long as neither line is vertical.

Answer:

4.25 meters

Step-by-step explanation:

425/100 = 4.25

or move the decimal to the left 2 places. One place for each zero in 100.

Answer:

24

Step-by-step explanation:

[4 / 5 ] * 30 = 24

Answer:

24

Step-by-step explanation:

To get the answer you have to multiply the 4/5 x 30 to get the answer

Answer:

His specific request will be any of the following:

Step-by-step explanation:

Given

See attachment for complete question

Required

Specific information to match Jada's request

From the attachment, we have the following:

Triangle 1: Jada's request

Triangle 2: The triangle made by Tyler

The two triangles are not congruent because:

How did we know this?

On Jada's triangle, the longest side is 8.5

On the triangle, Tyler made; the longest side is 5 and does have a corresponding ratio to Jada's triangle

Having said this; this is what Jada needs to do;

He needs to make his request based on any of the following postulate

[tex]SSS \to Side\ Side\ Side[/tex]

[tex]SAS \to Side\ Angle\ Side[/tex]

[tex]ASA \to Angle\ Side\ Angle[/tex]

However, the best postulate to use in this regard is:

[tex]SAS \to Side\ Angle\ Side[/tex]

So, his specific request will be any of the following:

Answer:

the height of the mountain is 7.35 m

Step-by-step explanation:

Given;

final velocity of the man, v = 12 m/s

initial velocity of the man, u = 0

The height of the mountain is calculated as;

v² = u² + 2gh

v² = 0 + 2gh

v² = 2gh

h = v²/2g

h = (12)² / (2 x 9.8)

h = 7.35 m

Therefore, the height of the mountain is 7.35 m

Answer:

C

Step-by-step explanation:

U fisrt find the y intercept where x=0 and deferentiate to find gradient

Answer:

Of your choices, 87.5

Step-by-step explanation:

There may be a formula for figuring this out, but here's what I know how to do to solve this:

First we'll organize the data in ascending order:

3.9, 4.5, 5.7, 6.2, 7.4, 8.1, 8.4, 9.2  

The median is (6.2 + 7.4)/2 = 6.8

The first quartile is (4.5 + 5.7)/2 = 5.1

The third quartile is (8.1 + 8.4)/2 = 8.25

So the 75th percentile is 8.25

Since 9.2 is higher than that, I'd choose 87.5

Mildred's pie scored at the 87.5 percentile.

'A percentile is a measure used in statistics indicating the value below which a given percentage of observations in a group of observations fall.'

According to the given problem,

Organizing the data in ascending order:

3.9 < 4.5 < 5.7 < 6.2 < 7.4 < 8.1 < 8.4 < 9.2  

Median of the given data = [tex]\frac{6.2+7.4}{2}[/tex]

                                            = 6.8

First quartile = (4.5 + 5.7)/2

                      = 5.1

Third quartile = (8.1 + 8.4)/2

                       = 8.25

The third quartile is the 75th percentile,

⇒ 75th percentile = 8.25

Since, 9.2 > 8.25 , Mildred's pie scored at 87.5 percentile.

Hence, we can conclude, Mildred's pie scored at the 87.5 percentile.

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Answer:

y = -1x + 7

Step-by-step explanation:

y2 - y1 / x2 - x1

9 - 0 / -2 - 7

9 / -9

= -1

y = -1x + b

0 = -1(7) + b

0 = -7 + b

7 = b

Answer:

0.00026579909 is what 25 divided by 94,056 equals

Answer:

22

Step-by-step explanation:

number of gum = x

number of candy bar = y

0.54x + 0.88y = 26.38

x + y = 35

         0.54x + 0.88y = 26.38

(+)      -0.54x - 0.54y = -18.9

-----------------------------------------

                       0.34y = 7.48

y = 7.48/0.34

y = 22

Answer: 22

The number of the gum is 13 and the number of the candy will be 22.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Jane and Sophia went to the corner store where packages of gum cost 54¢ each and candy bars cost 88¢ each.

They spent $26.38 total and bought 35 items total.

Let x be the number of the gum and y be the number of the candy.

Then the equation will be

x + y = 35 ...1

0.54x + 0.88y = 26.38 ...2

By solving the equations 1 and 2, then we have

x = 13 and y = 22

Then the number of the gum is 13 and the number of the candy will be 22.

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Answer:

Step-by-step explanation:

Answer:

30058.49

Step-by-step explanation:

b/c when u multiply it in hundredth u can get your answer

Answer:

-3

Step-by-step explanation:

You plug the value of -3 into where the x is {-(-3)^2} + 6, resulting in -3.

Answer:

8r6s3 – 13r5s4 + r4s5 – 5r3s6 it is D

Step-by-step explanation:

The value of the difference of the polynomials is,

⇒ 8r⁶s³ - 13r⁵s⁴ + r⁴s⁵ - 5r³s⁶

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

The expression is,

⇒ (8r⁶s³ – 9r⁵s⁴ + 3r⁴s⁵) – (2r⁴s⁵ – 5r³s⁶ – 4r⁵s⁴)

Now, We can find the difference as;

⇒ (8r⁶s³ – 9r⁵s⁴ + 3r⁴s⁵) – (2r⁴s⁵ – 5r³s⁶ – 4r⁵s⁴)

⇒ (8r⁶s³ – 9r⁵s⁴ – 4r⁵s⁴ + 3r⁴s⁵ – 2r⁴s⁵ – 5r³s⁶

⇒ 8r⁶s³ - 13r⁵s⁴ + r⁴s⁵ - 5r³s⁶

Thus, The value of the difference of the polynomials is,

⇒ 8r⁶s³ - 13r⁵s⁴ + r⁴s⁵ - 5r³s⁶

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