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Rudiy27
3 years ago
11

What is the slope of the line shown?

Mathematics
2 answers:
Anarel [89]3 years ago
4 0

Hello!

\large\boxed{Slope = -\frac{1}{2}}

Use the slope formula along with provided points to solve for the slope.

We can use the points (-4, -1) and (0, -3) and plug these values into the equation:

m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

m = \frac{-3-(-1)}{0-(-4)} \\\\m = \frac{-2}{4} \\\\m = -\frac{1}{2}

Oxana [17]3 years ago
4 0
slope is -1/2 hope i helped
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A chemist wishes to mix a solution that is 6% acid. She has on hand 14 liters of a 4% acid solution and wishes to add some 10% a
jonny [76]

she should add 7 liters of 10% acid solution

Explanation

Step 1

set the equation:

a) let X represents the amount os solution that is 4% acid

let Y represents the amount os solution that is 10% acid

so

I)

\begin{gathered} \frac{4}{100}X+\frac{10}{100}Y=\frac{6}{100}(x+y) \\  \end{gathered}

if he has 14 liters of 4% acid solution

x=14

\begin{gathered} \frac{4}{100}X+\frac{10}{100}Y=\frac{6}{100}(X+Y) \\ \frac{4}{100}*14+\frac{10}{100}Y=\frac{6}{100}(X+Y) \\ 0.56+0.1Y=0.06(14+Y) \\ 0.56+0.1Y=0.84+0.06Y \\  \end{gathered}

Step 2

solve the equation :

\begin{gathered} 0.56+0.1Y=0.84+0.06Y \\ subtract\text{ 0.06Y in both sides} \\ 0.56+0.1Y-0.06Y=0.84+0.06Y-0.06Y \\ 0.56+0.04Y=0.84 \\ subtract\text{ 0.56 in both sides} \\ 0.56+0.04Y-0.56=0.84-0.56 \\ 0.04Y=0.28 \\ divide\text{ both sides by 0.04} \\ \frac{0.04Y}{0.04}=\frac{0.28}{0.04} \\ Y=7 \end{gathered}

therefore,

she should add 7 liters of 10% acid solution

I hope this helps you

8 0
1 year ago
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