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2 years ago

Which coordinate pair is a solution of the equation below?

1 answer:

7 0

I think that the answer is b because if you substitute in (4,1) into x-5y=-1 you’ll get 4-5(1)=-1 which simplifies to -1=+1 which is a true statement. I hope that helped (-:

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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

A bridge connecting two cities separated by a lake has a length of 5927.261 yd. use the table of facts to find the length of the

alex41 [277]

Answer:

the length of the bridge in miles is 3.37 miles

Step-by-step explanation:

The computation of the length of the bridge in miles is shown below:

Given that

The length is 5927.261 yard

As we know that

1760 yard = 1 mile

So 1 yard = 1 ÷ 1760 mile

For 5927.261 yard, the miles would be

= 5927.261 ÷ 1760

= 3.37 miles

Hence, the length of the bridge in miles is 3.37 miles

5 0

3 years ago

What is the answer to this

MrMuchimi

Answer:

Step-by-step explanation:

5 0

2 years ago

Two numbers that have a difference of 8.

BlackZzzverrR [31]

Answer:

16/2 = 8

24/3 = 8

7 0

2 years ago

Read 2 more answers

Hey everybody I have a quick math question but idk what the answer is! It would mean a lot if someone helped me. PS the pic is t

mote1985 [20]

Answer:

it would be 2.33 I divided it I hope I'm right :)

8 0

2 years ago