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lord [1]
3 years ago
13

1. Write an equation in slope-intercept form for a line passing through (-3,3) with a slope of 1.

Mathematics
1 answer:
PIT_PIT [208]3 years ago
8 0

1)


\bf (\stackrel{x_1}{-3}~,~\stackrel{y_1}{3})~\hspace{10em} slope = m\implies 1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-3=1[x-(-3)] \\\\\\ y-3=1(x+3)\implies y-3=x+3\implies y=x+6


2)


\bf (\stackrel{x_1}{-4}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{12}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{12-2}{1-(-4)}\implies \cfrac{10}{1+4}\implies \cfrac{10}{5}\implies 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-2=2[x-(-4)]\implies y-2=2(x+4) \\\\\\ y-2=2x+8\implies y=2x+10

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Find the following rates. Round your answer to the nearest hundredth. a. ? % of 75 = 5 b. ? % of 28 = 140 c. ? % of 100 = 40 d.
Sati [7]

Answer:

a) 6.67% b) 500% c) 40% d) 7.5%

Step-by-step explanation:

a. ? % of 75 = 5

<em>Let ? be y.</em>

<em>Of means multiply so we will replace it with a multiplication sign.</em>

<em>y% x 75 = 5</em>

<em>y% = 5/75</em>

<em>y% = 1/15 x 100</em>

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b) ?% of 28 = 140

<em>Let ? be y.</em>

<em>Of means multiply so we will replace it with a multiplication sign.</em>

<em>y% x 28 = 140</em>

<em>y% = 140/28</em>

<em>y% = 5</em>

<em>y = 5 x 100</em>

y = 500%

c) ?% of 100 = 40

<em>Let ? be y.</em>

<em>Of means multiply so we will replace it with a multiplication sign.</em>

<em>y% x 100 = 40</em>

<em>y% = 40/100</em>

<em>y% = 2/5</em>

<em>y = 2/5 x 100</em>

y = 40%

d) ?% of 200 = 15

<em>Let ? be y.</em>

<em>Of means multiply so we will replace it with a multiplication sign.</em>

<em>y% x 200 = 15</em>

<em>y% = 15/200</em>

<em>y% = 3/40</em>

<em>y = 3/40 x 100</em>

y = 7.5 %

!!

8 0
3 years ago
Please help...
Dmitrij [34]
Hey there!

First solve 2 x 4 . . .

2 x 4 = 8
This means each side of the shape is 8 inches.

To find area, multiply the two sides . . .

8 x 8 = 64 <---------

The area of the shape is 64 inches.

Hope this helps you.
Have a great day!
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Step-by-step explanation:

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