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2 years ago

The height of a rectangle is 2 less than it’s base x if the perimeter of the rectangle is no less than 36 cm, find the base

Mathematics

1 answer:

Inessa [10]2 years ago

7 0

10 I think because 10+10+8+8=36 and 8 is 2 less than 10

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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.

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2 years ago

Two numbers with a sum of one

dimulka [17.4K]

Answer:

.5 and .5, .75 and .25, ect

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2 years ago

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Line m is drawn so that it is perpendicular to two distinct planes, Q and R. What must be true about planes Q and R?

UNO [17]

B. are parallel.

Line m is drawn so that it is perpendicular to two distinct planes, Q and R. Therefore, planes Q and R are parallel.

Since it doesn't state that two planes intersect with each other, it is safe to assume that only line m is their connection. The planes are parallel with each other.

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2 years ago

A salesperson earns commission on the sales that she makes each mouth.The sales person earns a 5% commissions on the first $5,00

Maslowich

She makes 5% on 5000 and 7.5% on the other 3000.

0.05 x 5000= 250
0.075 x 3000= 225

Add 250 and 225

She earns $475 in all.

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2 years ago

Slope-intercept from by steps

nordsb [41]

Y=m+b use this equation

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3 years ago