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Stells [14]
3 years ago
11

The midpoint of cd is (8,-6). the coordinates of c are (0,-5). Find the coordinates of D

Mathematics
1 answer:
STatiana [176]3 years ago
5 0

\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ C(\stackrel{x_1}{0}~,~\stackrel{y_1}{-5})\qquad D(\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{x+0}{2}~~,~~\cfrac{y-5}{2} \right)~~=~~\stackrel{midpoint}{(8~,~-6)}\implies \begin{cases} \cfrac{x+0}{2}=8\\[1em] \boxed{x = 16}\\ \cline{1-1} \cfrac{y-5}{2}=-6\\[1em] y-5=-12\\ \boxed{y=-7} \end{cases}

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1,000 darts were thrown at the rectangular board shown here. If 159 darts hit the circle, which of the following is most likely
Ludmilka [50]
The probability would be \frac{159}{1000},
Simplify and turn into ratio.
0.159 : 1.

I am unsure what the full question was though.

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7 0
3 years ago
Please Help I will do Brainliest for first and correct answer
Soloha48 [4]

Answer:

5

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41 - 32 = 9

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8 0
3 years ago
Choose the option with the proper number of sig figs
marishachu [46]
\text{ 2 }\times10^8

Explanation:\begin{gathered} \text{Given:} \\ \frac{9\text{ }\times10^9}{4.5\text{ }\times10^1} \end{gathered}

let's break down the expression to get the final result:

\begin{gathered} \frac{9\text{ }\times10^9}{4.5\text{ }\times10^1}\text{ = }\frac{9}{4.5}\times\text{ }\frac{10^9}{10^1} \\ \frac{9}{4.5}\text{ = }\frac{9\text{ }\times\text{ 10}}{4.5\text{ }\times\text{ 10}}\text{ = }\frac{90}{45} \\ \frac{9}{4.5}\text{ = }2 \\  \\ \frac{10^9}{10^1}\colon\text{ when we divide exponents with same base, } \\ we\text{ take one of the base and combine the exponents by subtracting them:} \\ \frac{10^9}{10^1}=10^{9-1} \\ \frac{10^9}{10^1}=10^8 \end{gathered}\begin{gathered} \frac{9}{4.5}\times\text{ }\frac{10^9}{10^1}\text{ = 2 }\times10^8 \\  \\ \text{when dividing decimals, }the\text{ least number of }significant\text{ }figures\text{ in the problem}, \\ \text{ }\det ermines\text{ the significant figures in the answer} \\ 9\text{ = 1 significant, 4.5 = 2 significant} \\ \text{The least significant is 1} \\  \\ \frac{9\text{ }\times10^9}{4.5\text{ }\times10^1}\text{ = 2 }\times10^8 \end{gathered}

6 0
10 months ago
Using the data in the table,what is the cost of 3 apples?
anastassius [24]

Answer:you add anmd subtract

Step-by-step explanation:

the answer is 3 to 4

4 0
3 years ago
PLEASE SOLVE AND CHECK. SHOW COMPLETE SOLUTION
yaroslaw [1]

Answer:

-2/3= x

Step-by-step explanation:

<u><em>square all the terms on both sides to get rid of the radicals:</em></u>

1^{2} + (\sqrt{1-x} )^{2} = (\sqrt{2x+4}) ^{2}

<u><em>exponent 2 and the radical cancel each other:</em></u>

1 + 1 - x = 2x + 4

2 - x = 2x + 4

<u><em>like terms on each side ( when you move one term tp the other side, it changes its sign ):</em></u>

2-x = 2x+4

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-2 = 3x

<u><em>now to keep the x alone, divide both sides by 3:</em></u>

-2/3 = 3x/3

-2/3= x

3 0
2 years ago
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