All categories

2 years ago

Translate this sentence into an equation.

Mathematics

1 answer:

Leni [432]2 years ago

5 0

23 + d = 71. ———————————————————-

You might be interested in

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

HOW can you use models to find volume?

Svetradugi [14.3K]

You can find the dimensions of the model and plug them into the formula for volume (length x width x height)

5 0

3 years ago

Find the angle of elevation from the point on the ground 90 feet from the base of a building that is 200 feet tall

DanielleElmas [232]

$Look\ at\ the\ picture.\\\\tg\alpha=\frac{200}{90}\\\\tg\alpha=\frac{20}{9}\\\\tg\alpha=2.222...\\\\\alpha\approx66^o$

6 0

3 years ago

Read 2 more answers

What's the smallest possible perimeter of a rectangle with an area of 35 cm? (36 small squares 1 cm by 1 cm)

vfiekz [6]

Answer:

12 miles per hour...........

6 0

2 years ago

A scale model of a tiger measures 1.5 feet long. The Tigers actual length is 9 feet. What is the scale of the model?

seraphim [82]

$The\ scale\ of\ the\ model\ = \frac{A\ scale\ model\ of\ a\ tiger}{The\ tiger's\ actual\ length} = \frac{1.5}{9} =1:6$

6 0

3 years ago