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3 years ago

6

What Shape Is This ?

1 answer:

Nataliya [291]3 years ago

6 0

The shape is a Irregular pentagon

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Find the constant of proportionality k. Then write an equation for the relationship between x and y

ExtremeBDS [4]

Question:

Find the constant of proportionality k. Then write an equation for the relationship between x and y

$\begin{array}{ccccc}x & {2} & {4} & {6} & {8} \ \\ y & {10} & {20} & {30} & {40} \ \ \end{array}$

Answer:

(a) $k = 5$

(b) $y = 5x$

Step-by-step explanation:

Given

$\begin{array}{ccccc}x & {2} & {4} & {6} & {8} \ \\ y & {10} & {20} & {30} & {40} \ \ \end{array}$

Solving (a): The constant of proportionality:

Pick any two corresponding x and y values

$(x_1,y_1) = (2,10)$

$(x_2,y_2) = (6,30)$

The constant of proportionality k is:

$k = \frac{y_2 - y_1}{x_2 - x_1}$

$k = \frac{30-10}{6-2}$

$k = \frac{20}{4}$

$k = 5$

Solving (b): The equation

In (a), we have:

$(x_1,y_1) = (2,10)$

k can also be expressed as:

$k = \frac{y- y_1}{x- x_1}$

Substitute values for x1, y1 and k

$5 = \frac{y- 10}{x- 2}$

Cross multiply:

$y - 10 = 5(x - 2)$

Open bracket

$y - 10 = 5x - 10$

Add 10 to both sides

$y - 10 +10= 5x - 10+10$

$y = 5x$

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3 years ago

For pi day, Jill sells 3 apple pies and 1 lemon for &21. Jack sells 2 apple pies and 3 lemon pies for $28. What was the pric

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I'm guessing but not sure, wouldn't it be 7

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3 years ago

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linda is building a rectangular playhouse. the width is x feet. the length is x + 3 the distance around the base of the playhous

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No. The value of x is 7.5 feet.

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3 years ago

2y=x+6 2y-x=6 how do i solve following the system of equations

Margarita [4]

$2y = x + 6 \\ \\ 1. \: 2y - 6 = x \\ 2. \: x = 2y - 6 \\ \\ \\ 2y - x = 6 \\ \\ 1. \: - x = 6 - 2y \\ 2. \: x = - 6 + 2y \\ 3. \: x = 2y - 6$

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3 years ago

Please help me on math homework! <br> File attached! :D

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Use pythagorena theorme

D= $\sqrt{(x1-x2)^{2}+(y1-y2)^{2}}$
NOTE: x1 and x2 means the first x and second x, not x^1 and x^2

points given are
(1,1)
(5,6)
x1=1
y1=1
x2=5
y2=6
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D= $\sqrt{(-4)^{2}+(-5)^{2}}$
D= $\sqrt{16+25}$
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6.403

answer is B

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