3 years ago

Apply the distributive property to expand the expression. 9(2+5m)

Mathematics

2 answers:

Maslowich3 years ago

4 0

2(9+5m) is the distributive property.

ad-work [718]3 years ago

3 0

18+45m because 9x2=18 and 9x5m=45m

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The points , (−15,1) and , (−7,r) lie on a line with slope 5/4. Find the missing coordinate r. Click image to enlarge

Nadya [2.5K]

The missing coordinate r is 11.

Solution:

Given points are (–15, 1) and (–7, r).

$x_{1}=-15, x_{2}=-7, y_{1}=1 \text { and } y_{2}=7$

Slope (m) = $\frac{5}{4}$

<u>To find the missing coordinate r:</u>

Slope formula:

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

Substitute the given values in the formula.

$$\frac{5}{4}=\frac{r-1}{-7-(-15)}$

$$\frac{5}{4}=\frac{r-1}{-7+15}$

$$\frac{5}{4}=\frac{r-1}{8}$

Do cross multiplication.

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3 years ago