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umka2103 [35]
3 years ago
9

Write a system of equations:

Mathematics
1 answer:
frutty [35]3 years ago
5 0

Answer:ace gym- 30x+100

Bold's gym- 50x

Step-by-step explanation:

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5 if its a dice.

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At a football game, the quarterback threw the football and the receiver caught it for a 12-yard gain. What integer represents th
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Find the equation of line (use exact numbers)​
maw [93]

Answer:

y=3x+3

Step-by-step explanation:

Use the slope-intercept form:

y=mx+b

m is the slope and b is the y-intercept. The y-intercept is the place where x is equal to 0, and the slope is the change in the y-axis over the change in the x-axis, otherwise known as rise over run ( \frac{rise}{run} ).

If you study the graph, you can see that the line crosses the y-axis at (0,3), so 3 is the y-intercept. Insert into the formula:

y=mx+3

Now find the slope. Use the slope formula:

\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{rise}{run}

You need two points first. You can use the y-intercept (0,3) and another even point, like (1,6). Insert the values:

(0_{x1},3_{y1})\\(1_{x2},6_{y2})\\\\\frac{6-3}{1-0}=\frac{3}{1}=3

The slope is 3. Insert this value:

y=3x+3

:Done

7 0
3 years ago
What is the area of a rectangle with vertices at (−3, −1) , (1, 3) , (3, 1) , and (−1, −3) ?
kondaur [170]
The length of the side joining points (-3, -1) and (1, 3) is given by

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The length of the side joining points (1, 3) and (3, 1) is given by

w= \sqrt{(3-1)^2+(1-3)^2} \\ \\ = \sqrt{2^2+(-2)^2} = \sqrt{4+4} \\ \\ = \sqrt{8}

The area of a rectangle is given by length times width.

Thus, the area of the given rectangle is given by

Area=l\times w \\  \\ = \sqrt{32} \times \sqrt{8}  \\  \\ = \sqrt{32\times8} = \sqrt{256}  \\  \\ =\bold{16} \ units^2
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3 years ago
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