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3 years ago

Please help me thank you

Mathematics

1 answer:

ladessa [460]3 years ago

5 0

Answer:

Step-by-step explanation:

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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

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

$y = 5x$

6 0

3 years ago

Please help me with this

Aleksandr-060686 [28]

Answer:

Part A: Let c = the cost of each candy bar

3 + 8c = 43

8c = 40

Part B: c = $5.00

Step-by-step explanation:

8 0

2 years ago

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The circumference of the smaller circle is 30% of the circumference of the larger circle. Find the circumference of the larger c

Tasya [4]

Answer:

The circumference of the larger circle is 94.2 inches.

Step-by-step explanation:

8 0

2 years ago

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What are the roots of the following polynomial equation? x^3 + 72= 5x^2 + 18x (write from least to greatest)

kow [346]

Answer:

2:3

Step-by-step explanation:

8 0

2 years ago

Heellllllllllllllpppppp!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

iogann1982 [59]

34.76

, nearly.

Explanation:

Angle of elevation = arc tan( (vertical height)/(length os the shadow)).

Here, this angle is

arc tan (12.5

18) =

34.78

, nearly

6 0

2 years ago