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3 years ago

Can you explain to me how you solve this problem

Mathematics

1 answer:

forsale [732]3 years ago

3 0

Answer:

5000

Step-by-step explanation:

Let's start with something that makes sense:

10 is 2 times larger than 5 because 5*2=10 or 10/5=2.

100 is 4 times larger than 25 because 25*4=100 or 100/25=4

Notice what's in bold. To find out how many times a larger number is compared to a smaller number, divide the larger number by the smaller number. Now, see attachment 1

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Write the equation of the line passing through the points (-4,-1) and (2,8)

klio [65]

<h3>Explanation:</h3>

Calculate the slope with two given coordinate points by using rise over run.

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

Let these points

$\begin{cases}(x_1, y_1) = ( - 4, - 1) \\ (x_2, y_2) = ( 2, 8) \end{cases}$

$m = \frac{8 - ( - 1)}{2 - ( - 4)} \\ m = \frac{8 + 1}{2 + 4} \Longrightarrow \frac{9}{6} \Longrightarrow \frac{3}{2} \\ m = \frac{3}{2}$

Slope-Intercept

$y = mx + b \\ m = slope \\ b = y - intercept$

Substitute the value of m in the equation.

$y = \frac{3}{2} x + b$

Substitute any coordinate points that are given or part of the graph in the equation.

$(x_, y) = ( - 4, - 1)$

$- 1 = \frac{3}{2} ( - 4) + b$

Solve the equation for b-term.

$- 1 = \frac{3}{ \cancel{2}} ( \cancel{ - 4}) + b\\ - 1 = 3( - 2) + b \\ - 1 = - 6 + b \\ - 1 + 6 = b \\ 5 = b$

Rewrite the equation by substituting the value of b in the equation.

$y = \frac{3}{2} x + 5$

<h3>Answer</h3>

$\large \boxed{y = \frac{3}{2} x + 5}$

If you have any questions related to the answer, feel free to ask via comment.

7 0

2 years ago

The larger of two numbers is 15 more than three times the smaller number. If the sum of the two numbers is 63 find the numbers

tatuchka [14]

Let x = the smaller numberLet 3x + 15 = the larger numberx + 3x + 15 = 634x = 48x = 123(12) + 15 = 51

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2 years ago

Help fast ASAP for 10 points

Zina [86]

Answer:

PQRS → P'Q'R'S'

Hope this helps you.

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3 years ago

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Parallel lines s and t are cut by a transversal, r, as shown

Natalija [7]

Answer:

Step-by-step explanation:

i just took the test and got a 100% :)

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2 years ago

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The given line passes through the points (-4,-3) and (4,

Harlamova29_29 [7]

Answer:

Step-by-step explanation:

first we gotta find the slope of the first line

(-4,-3),(4,1)

slope = (y2 - y1) / (x2 - x1) = (1- (-3) / (4 - (-4) = (1 + 3) / (4 + 4) = 4/8 = 1/2

so the slope is 1/2.....so we are looking for a line that is perpendicular....perpendicular lines have negative reciprocal slopes...all that means is flip the slope and change the sign....so the slope we need is :

1/2....flip it....2/1.....change the sign....-2.....we need a -2 slope

y - y1 = m(x - x1)

slope = -2

(-4,3)...x1 = -4 and y1 = 3

now sub

y - 3 = -2(x - (-4) =

y - 3 = -2(x + 4) <=====

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3 years ago