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3 years ago

Solve the equation x^2=26

Mathematics

1 answer:

Volgvan3 years ago

8 0

Take the square root. The opposite of squaring something is taking the root :)

√x^2 = √26

x = √26

x = 5.099...

OR leave it if your teacher doesn't want a decimal since it can't be simplified anymore

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1) -12 meters
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2 years ago

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Which expressions are equivalent to 8 (negative 10 x + 3.5 y minus 7)? Select two options.

Elza [17]

Question is Incomplete; Complete question is given below.

Which expressions are equivalent to 8 (negative 10 x + 3.5 y minus 7)? Select two options. Negative 80 x + 24.5 y minus 56 Negative 80 x + 28 y minus 56 80 x + 28 y + 56 4 (negative 20 x + 7 y minus 14) Negative 4 (negative 20 x + 7 y minus 14)

Answer:

Negative 80 x + 28 y minus 56

4 (negative 20 x + 7 y minus 14)

Step-by-step explanation:

Given:

$8(-10x+3.5y-7)$

We need to find the equivalent expression for given expression.

Solution:

$8(-10x+3.5y-7)$

First we will apply distributive property for given expression.

$a(x+y) =ax+ay$

So we get;

$8\times-10x+8\times3.5y-8\times7\\\\-80x+28y-56$

Hence first expression equivalent to given expression is $-80x+28y-56$ .

Now again evaluating the expression we get;

We will take 4 as common factor from the expression we get;

$-4\times20x+4\times7y-4\times14\\\\4(-20x+7y-14)$

Hence second expression equivalent to given expression is $4(-20x+7y-14)$ .

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3 years ago

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You have 3/4 of a bag of popcorn. You want to share them with you and your three friends. How much of the bag does each person g

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Answer:

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Step-by-step explanation:

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3 years ago

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

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<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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Answer:

He will earn $139,000 after 4 years

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