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3 years ago

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

1 answer:

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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There was 2/3 of a fruitcake left over. Ella ate 1/5 of it. How much of the whole fruitcake did she eat?

liq [111]

2/3 * 1/5 = 2/15
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4 years ago

Use the given information to determine if the geometric series converges or

lana66690 [7]

Answer:

c) The series diverges. There is no sum.

Step-by-step explanation:

A geometric series is a series of the form:

$S = \Sigma_{i=0}^{n} a\cdot r^{i}$ , $\forall i \in \mathbb{N}_{O}$

Where:

$a$ - First term of the series, dimensionless.

$r$ - Common ratio, dimensionless.

A geometric series converges only if $|r| < 1$ . As $r > 1$ , the geometric series diverges. Hence, the right answer is C.

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3 years ago

K anyone help please

tigry1 [53]

Answer:

Step-by-step explanation:

Given equation is,

a). y = $\frac{6}{x}$

x 0.5 1 2 3 4 5 6

y $\frac{6}{0.5}=12$ $\frac{6}{1}=6$ $\frac{6}{2}=3$ $\frac{6}{3}=2$ $\frac{6}{4}=1.5$ $\frac{6}{5}=1.2$ $\frac{6}{6}=1$

b). By plotting the input-output values on the graph we get the curve as shown in option C.

Therefore, Option C will be the answer.

7 0

3 years ago

Randy has 386 hockey cards. he has 165 more baseball cards does he have in all

muminat

Answer:

just add 386+165 which equals 551

Step-by-step explanation:

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3 years ago

its first year of operation Big Lake Camp had 40 campers this year the tents was under 80% of the first year how many campers pa

Irina18 [472]

Answer:
72 campers
Step-by-step explanation:
you would have to multiply the percent to the amount of campers in Big Lake Camp in the first year:
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3 years ago