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dalvyx [7]
3 years ago
9

How do I solve this?

Mathematics
1 answer:
Korolek [52]3 years ago
6 0
<span><span>   (<span>x−8</span>)</span>2</span><span>=<span><span>(<span>x+<span>−8</span></span>)</span><span>(<span>x+<span>−8</span></span>)</span></span></span><span>=<span><span><span><span><span>(x)</span><span>(x)</span></span>+<span><span>(x)</span><span>(<span>−8</span>)</span></span></span>+<span><span>(<span>−8</span>)</span><span>(x)</span></span></span>+<span><span>(<span>−8</span>)</span><span>(<span>−8</span>)</span></span></span></span><span>=<span><span><span><span>x2</span>−<span>8x</span></span>−<span>8x</span></span>+64</span></span><span>=<span><span><span>x2</span>−<span>16x</span></span>+<span>64

</span></span></span><span>(x−8)2=x2−82Step 1: Simplify both sides of the equation.x2−16x+64=x2−64Step 2: Subtract x^2 from both sides.x2−16x+64−x2=x2−64−x2−16x+64=−64Step 3: Subtract 64 from both sides.−16x+64−64=−64−64−16x=−128Step 4: Divide both sides by -16.−16x−16=−128−16x=8</span>
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vova2212 [387]

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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Answer:

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Step-by-step explanation:

<u>Number Permutations</u>

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If each possible number takes him 22 seconds, every possibility will need

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I'm guessing its 1800.

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