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daser333 [38]
3 years ago
5

diana worked on her science project for 5 1/3 hours. gabe worked on his science project 1 1/4 times as long as diana. paula work

ed on her science project 3/4 times as long as diana
Mathematics
1 answer:
solmaris [256]3 years ago
5 0
Time taken by Diana to finish her project is 5 1/3 hours
Gabe took 1 1/4 times as long as Diana, therefore Gabes time will be:
1 1/4 × 5 1/3
=5/4 × 16/3
=20/3
=6 2/3 hours

Paula took 3/4 times as long as Diana, therefore time taken by Paula will be:
3/4 × 16/3
=4 hours
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Answer:

Point-slope form of equation given as $y-2=-2(x+2)$.

Slope-intercept form of equation is given as $y=-2 x-2$.

Step-by-step explanation:

In the question, it is given that the slope of a line is -2 and it passes from (-2,2).

It is asked to write the point-slope form of the equation and rewrite it as slope-intercept form.

To do so, first find the values which are given in the question and put it in the formula of point-slope form. Simplify the equation to rewrite as slope-intercept form.

Step 1 of 2

Passing point of the line is (-2,2).

Hence, $x_{1}=-2$ and

$$y_{1}=2 \text {. }$$

Also, the slope of the line is -2.

Hence, m=-2

Substitute the above values in point-slope form of equation given by $y-y_{1}=m\left(x-x_{1}\right)$

$$\begin{aligned}&y-y_{1}=m\left(x-x_{1}\right) \\&y-2=-2(x-(-2) \\&y-2=-2(x+2)\end{aligned}$$

Hence, point-slope form of equation given as y-2=-2(x+2).

Step 2 of 2

Solve y-2=-2(x+2) to write it as slope-intercept form given by y=mx+c.

$$\begin{aligned}&y-2=-2(x+2) \\&y-2=-2 x-4 \\&y=-2 x-4+2 \\&y=-2 x-2\end{aligned}$$

Hence, slope-intercept form of equation is given as y=-2x-2.

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Step-by-step explanation:

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Let me know if you need me to explain further.
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LaToya had a large collection of basketball cards. She decided to give half of them to her friends, Aaron, and a fourth of them
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