Which one is the correct answer and why?

Considering the definition of parallel and perpendicular line:

A linear equation o line can be expressed in the form y = mx + b.

where

Parallel lines are two lines that are always at the same distance from each other and that prolonged towards infinity never touch.

Two lines are parallel if they have the same slope and different y-intercepts. That is, they have the same value of m and different value of b.

Perpendicular lines are lines that intersect at right angles or 90° angles. If you multiply the slopes of two perpendicular lines, you get –1.

In this case, the line is 9x+8y=-2. Expressed in the form y = mx + b, you get:

8y= -2 - 9x

y= (-9x -2)÷ 8

y= -[tex]\frac{9}{8}[/tex]x - [tex]\frac{1}{4}[/tex]

Two lines are parallel if they have the same slope. So, in this case, the parallel line has a slope of  -[tex]\frac{9}{8}[/tex] and has a form of: y= -[tex]\frac{9}{8}[/tex]x + b

The line passes through the point (-3, 2). Replacing in the expression for parallel line:

2= -[tex]\frac{9}{8}[/tex]× (-3) + b

2= [tex]\frac{27}{8}[/tex] + b

2- [tex]\frac{27}{8}[/tex]= b

- [tex]\frac{11}{8}[/tex]= b

Finally, the equation of parallel line is y= -[tex]\frac{9}{8}[/tex]x - [tex]\frac{11}{8}[/tex].

The line is y= -[tex]\frac{9}{8}[/tex]x - [tex]\frac{1}{4}[/tex].

If you multiply the slopes of two perpendicular lines, you get –1. In this case, the line has a slope of  -[tex]\frac{9}{8}[/tex]. So:

-[tex]\frac{9}{8}[/tex]× slope perpendicular line= -1

slope perpendicular line= (-1)÷ (-[tex]\frac{9}{8}[/tex])

slope perpendicular line= [tex]\frac{8}{9}[/tex]

So, the perpendicular line has a form of: y= [tex]\frac{8}{9}[/tex]x + b

The line passes through the point (-3, 2). Replacing in the expression for parallel line:

2= [tex]\frac{8}{9}[/tex]× (-3) + b

2= -[tex]\frac{8}{3}[/tex] + b

2+ [tex]\frac{8}{3}[/tex]= b

[tex]\frac{14}{3}[/tex]= b

Finally, the equation of of perpendicular line is y= [tex]\frac{8}{9}[/tex]x + [tex]\frac{14}{3}[/tex].

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Statement 8 (x = 10/5 or x = 2) is given by the division property of equality. Then the correct option is B.

Division means the separation of something into different parts, sharing of something among different people, places, etc.

Suppose that we're taking about

It means, we divide p into q equal parts.

And each part is of value p/q

Statement 7 is given below.

5x - 10 = 0

Then statement 8 is given by the division property of equality.

5x = 10

 x = 10/5

 x = 2

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The next term of the given sequence using first and second differences is; 104

We are given the sequence as;

8, 11, 19, 35, 62,.....

Thus, using the first and second differences, we have the sequence pattern as;

8          11            19           35               62         104

    3            8            16            27               42

            5           8             11             15

                   3            3             4

From the above pattern, we can see that the next term of the sequence is 104

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Work Shown:

x = original price in dollars

x - 60% of x = x - 0.60x = 0.40x = sale price in dollars

0.40x = 152

x = 152/0.40

x = 380

Answer:

108 cm that my answer

sana makatulong

The answer is 508.9 cubed

108cm cubed is wrong

Answer:

option c

Step-by-step explanation:

the first number of a exponential function is the y intercept when x = 0,

so we now the number will be 5 leaving only answers c or d

the easiest way see which one is correct is by inputting the numbers for x to find y so...

c) 5 x 2^1 = 5 x 2 = 10 so x = 1 than y = 10

d) 5 x 1/2^1 = 5 x 1/2 = 2.5 so x = 1 than y = 2.5

the table states that y = 10 when x = 1 making c correct

AND WELCOME TO BRAINLY!

Step-by-step explanation:

a number is a sequence of digits with every position being multiplied by increasing powers of 10.

and the whole number is then the sum of of these little multiplications.

the first position left of the decimal point is for 10⁰ (1). the second position is 10¹ (10). the third position for 10² (100). and so on.

the given number is therefore just the short version of

7×10⁴ + 0×10³ + 8×10² + 1×10¹ + 9×10⁰

and therefore, the digit 1 in this number has the value 1×10¹ = 10, which is also the place value, 10¹ = 10.

Answer:

418

Step-by-step explanation:

Answer:

Area=154.062 [tex]m^{2}[/tex]

Step-by-step explanation:

As Circumference of a circle is given by;

[tex]C=2\times \pi\times r[/tex]

As the circumference is 44m so we can calculate the value of r by using the above formula.

[tex]44=2\times \pi \times r\\\\\frac{44}{2\pi} =r\\\\\implies r=\frac{22}{\pi} =7.003 m[/tex]

Now to Calculate the Area of a Circle.

As the area of a circle is,

[tex]Area =\pi \times r^{2}\\ Area=\pi \times (7.003)^{2} \\Area=\pi \times 49.039\\Area=154.062m^{2}[/tex]

[tex]\large{\boxed{\sf y = \dfrac{2}{3} | x -6|- 7}}[/tex]

Absolute value of a graph formula:

Identify the vertex : (h, k) = (6, -7)

Take two points: (6, -7), (9, -5)

 [tex]\sf Find \ slope \ (a) : \sf \ \dfrac{y_2 - y_1}{x_2- x_1} \ = \ \ \dfrac{-5-(-7)}{9-6} \ = \ \ \dfrac{2}{3}[/tex]

Join them to build the equation:   [tex]\bf{y = \dfrac{2}{3} |x - 6| - 7}[/tex]

Answer:

[tex]g(x)=\dfrac{2}{3}|x-6|-7[/tex]

Step-by-step explanation:

Translations

For [tex]a > 0[/tex]

[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]

[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]

[tex]y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis by a factor of}\:a[/tex]

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

Parent function:  [tex]f(x)=|x|[/tex]

[tex]f(0)=|0|=0 \implies \textsf{The vertex of the parent function is at (0, 0)}[/tex]  

From inspection of the graph, the vertex of the transformed function is at (6, -7).  Therefore, there has been a translation of:

[tex]\textsf{6 units right}\implies f(x-6) =|x-6|[/tex]

[tex]\textsf{and 7 units down}\implies f(x-6)-7=|x-6|-7[/tex]

From inspection of the graph, we can see that it has been stretched parallel to the y-axis:

[tex]\implies a\:f(x-6)-7=a|x-6|-7[/tex]

The line goes through point (0, -3)

Substituting this point into the above equation to find [tex]a[/tex]:

[tex]\implies a|0-6|-7=-3[/tex]

[tex]\implies 6a=4[/tex]

[tex]\implies a=\dfrac{2}{3}[/tex]

Therefore,

[tex]\implies g(x)=\dfrac{2}{3}|x-6|-7[/tex]

3:7 =

3/7

3/7 = x/35

7x = 105

x = 15

answer : clara borrowed 15 books

I think it would be 15, because 3 doesn't go in evenly into 35. You might have the order of the ratio messed up.

Answer: 153.93791 inches³

Step-by-step explanation:

Area of a circle = pi * r²

Area of a circle = pi * 7²

Area of a circle = 3.14159 * 49

Area of a circle = 153.93791 inches³

We can't see you answer choices, so select the best answer choice that is closest to 153.93791 in³

Answer:

Step-by-step explanation:

Answer:

$0

Step-by-step explanation:

Since there is no useful data in this question, we will fill in the blanks with what we know:

Amount of cash taken: $0

Therefore, you have taken a cash advance of $0

LOL

Answer: The surface area is 173.2 mm²

Step-by-step explanation: If the four triangles are equilateral and one of the sides is 10 then all the other sides must be 10 as well, meaning that the surface area of each triangle is 43.3 mm². That means that to find the surface area of the whole pyramid you must multiply 43.3 by 4 because there are 4 separate triangles.

43.3 × 4 = 173.2

Answer:

2290.22

Step-by-step explanation:

Formula: V=pi*r^2*h

Plug in the values:

V=pi*81*9

81*pi=~254.469

~254.469 * 9 = 2290.22

Answer: 74.25

Step-by-step explanation:

75% ÷ 100 = 0.75

0.75 * 99

= 74.25

Answer:

(x-3) (x-3)

Step-by-step explanation:

[tex]4x {}^{2} - 24x + 36 \\ dividing \: through \: by \: 4 \\ x {}^{2} - 6x { }^{} + 9 \\ two \: numbers \: such \: that \: when \: you \: add \: them \: they \: give \: you \: - 6 \: and \: when \: you \: multiply \: them \: they \: give \: 9 \\ the \: numbers \: are \: \: - 3 \: and \: - 3 \\ x {}^{2} - 3x - 3x + 9 \\ x( x - 3) - 3(x - 3) \\ (x - 3)(x - 3)[/tex]

Answer:

8000

Step-by-step explanation:

Natalie

Divide 40k by 2 to get 20k and divide 20k by 5 to get 4k we are at 10%

4k / 5 = 800 that means that every 2% is 800 now we multiply by 4x

To get 8% and we get 3200 and multiply by 20 representing the yrs

3200 x 20 = 64k + 40+ = 104k

Mackenzie

40k divide by 2 to get 50% 40k / 2 = 20k and now we divide by 5 to get 10% 20k / 5 = 4k now we divide by 10 to get the amount of each percents worth 4k / 10 = 400 we multiply by 9 to get the compounded interest

400 x 9 = 3600 multiply by 20 to get the compounded daily investment after 20yrs 3600 x 20 = 72k + 40k = 112k

112k - 104k = 8k

Answer:

B. 325

Step-by-step explanation:

y = the total value of the amount of papers he has to deliver each week

44x + 61 = y

(7 days in a week - sunday = 6 days)

44(6) + 61 = y

264 + 61 = y

325 = y

The annual growth rate in the price of the apple will be 7.83%.

The growth rate is defined as the increment of any quantity over a period of time.

Given that:-

The growth rate will be calculated as::-

Growth rate =  Cost in 2017  /  Cost in 2015

Growth rate =  1.55  /  1.34  =  1.15

The growth rate will be 15.67% for the apple in 2 years so for 1 year it will be

15.67 / 2 = 7.8%

Therefore the annual growth rate in the price of the apple will be 7.83%.

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Answer:

A≈391.18

Step-by-step explanation:

The formula to find the surface area of a triangular prism is as follows:

Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area)

Plug in . .

A=ah+bh+ch+[tex]\frac{1}{2}[/tex][tex]\sqrt{ a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4}[/tex]

A = 6 * 20 + 6 * 20 + 6 * 20 + [tex]\frac{1}{2}[/tex] * [tex]\sqrt{64 + 2 * (6 * 6)2 + 2 * (6 * 6)2 - 64 + 2 *(6 * 6)2 * 64}[/tex]

A≈391.18

Answer:

391.2 square cm

Step-by-step explanation:

  l = 20 cm  

Base area = 15.6 square cm

   [tex]\sf \boxed{\text{Surface area of triangular prism = Perimeter of base * l + 2*base area}}[/tex]

                                                        = (6+6+6)*20 + 2*15.6

                                                        = 18*20 + 31.2

                                                        = 360 +31.2

                                                         = 391.2 square cm

Answer:

hope its help you

Step-by-step explanation:

3(x+y)+5=0

3x+3y+5=0

3x+3y= -5

Answer:

3*(x+y) + 5

Step-by-step explanation:

This is an mathematical  expression....it isi NOT an equation...the question does NOT say this is equal to zero (or anything else)

it is this     3 (x+y)   + 5    or   3x + 3y + 5

Probability that the next person will purchase more than one costume as a fraction in simplest form is; 11/113

We are given the data for number of people who visited the website and the number of costumes purchased in a single day as;

Number of visitors that purchased no costume = 27 visitors

Number of visitors that purchased exactly one costume = 75

Number of visitors that purchased more than one costume = 11

Total number of visitors = 27 + 75 + 11 = 113

Thus;

Probability that the next person will purchase more than one costume as a fraction in simplest form is;

P(purchase more than one costume) = 11/113

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Answer:

Look at the explanation.

Step-by-step explanation:

To begin with, the center of a circle is obviously the point in the middle of the circle and it has the same distance where ever you distance the center point from a point on the edges. Hope this makes sense so far. The diameter is from one point of the circle to another point of the circle and the diameter is in the middle meaning if you folded the circle upon the diameter it should be half and half. Radii are half of the diameter. Chords of a circle are  "the line segment joining any two points on the circumference of the circle".

So now:

Center is Point F, Radii could be segments FU or Segment KF, Diameter is KU, Chords of the circle could be Segment, VL, GL, or DX. I hope this is correct and hope it helps....

Answer:

Step-by-step explanation:

Center

Which point is the center is just a guess. You are intended to say F.

Radii

A radius is a line that goes from the  center of a circle to the circumference.

Chord

A chord is a line segment that joins two points on the circumference. Believe it or not, the diameter of a circle is a chord.

Diameter

KU

Answer:

convert the diameter and the height to the same unit

Step-by-step explanation:

Answer: convert the diameter and the height to the same unit

Step-by-step explanation:

      The surface area of a cylinder can be found with A = 2πrh + 2πr². To use this formula, all units of measurement must be the same.

      This can be converting 5 centimeters to millimeters or converting 50 millimeters to 5 centimeters.

The solution from the system of inequalities is (a). Part of the solution region includes a negative width; therefore, not all solutions are viable for the given situation.

Let P represent the perimeter.

So, we have:

The perimeter is calculated using:

P = 2(x + y)

So, we have:

2(x + y) ≤ 28

y ≥ (x - 2)²

Next, we plot the system of inequalities (see attachment)

From the attached graph, we have some negative x values in the shaded region.

This means that not all solutions are viable

Hence, the true statement is (a)

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