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Mrac [35]
3 years ago
13

Is Amy’s answer accurate

Mathematics
1 answer:
Rom4ik [11]3 years ago
4 0

Answer:

What do you mean??

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M is the midpoint of CD. Given the coordinates of one endpoint C(10,-5) and the midpoint M(4, 0), find the coordinates of the ot
mash [69]

Answer:

D(-2, 5).

Step-by-step explanation:

We are given that M is the midpoint of CD and that C = (10, -5) and M = (4, 0).

And we want to determine the coordinates of D.

Recall that the midpoint is given by:

\displaystyle M = \left(\frac{x_1 + x_2}{2} , \frac{y_1 + y_2}{2}\right)

Let C(10, -5) be (<em>x</em>₁<em>, y</em>₁) and Point D be (<em>x</em>₂<em>, y</em>₂). The midpoint M is (4, 0). Hence:

\displaystyle (4, 0) = \left(\frac{10+x_2}{2} , \frac{-5+y_2}{2}\right)

This yields two equations:

\displaystyle \frac{x_2 + 10}{2} = 4\text{ and } \frac{y_2 - 5}{2} = 0

Solve for each:

\displaystyle \begin{aligned}x_2 + 10 &= 8 \\ x_2 &= -2 \end{aligned}

And:

\displaystyle \begin{aligned} y_2 -5 &= 0 \\ y_2 &= 5\end{aligned}

In conclusion, Point<em> </em>D = (-2, 5).

5 0
3 years ago
C an you simplify 5^-8 x 5^4
EastWind [94]

Answer:

1/625

Step-by-step explanation:

Exponent Rule: (b^m)(b^n) = b^{m+n}

Exponent Rule: b^{-m}=\frac{1}{b^m}

5⁻⁸ · 5⁴ = -8 + 4 = -4

5⁻⁴

1/5⁴

1/625

6 0
4 years ago
6(1/2w-3/4 what does this equal to
Delicious77 [7]

6(1/2w-3/4)

distribute

6*1/2 w - 6 * 3/4

3 w -18/4

divide top and bottom by 2

3w -9/2

change to a mixed number (9/2 = 2 with 1 left over)

3w -4 1/2

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3 years ago
HELP 25pts and will mark brainliest. I NEED THIS NOW!! Which expression shows the result of applying the distributive property t
Arte-miy333 [17]
The last bottom problem
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Given f(x)=12x−5, find f(−3)<br><br> please show the way you did it to
AnnZ [28]
F(-3)=12(-3)-5
f(-3)= -36-5
f(-3)= -41
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3 years ago
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