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2 years ago

5. CD has an endpoint at (2, -1) and a midpoint at (8,3). Which measure is closest to the length of CD?

Mathematics

1 answer:

Alexus [3.1K]2 years ago

8 0

Answer: C

Step-by-step explanation:

the equation for X is

$\frac{2+x}{2} =\frac{8}{1}$ use proportion to solve

2 + x = 16

x = 14

(14,y)

The equation for Y is

$\frac{-1+y}{2} =\frac{3}{1}$ use proportion to solve

-1 + y = 6

y = 7

(14,7)

now use the distance formula

(14,7) (2,-1)

which gets you 14.4 or C

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3 years ago

Read 2 more answers

2,7, 12, ...<br> Find the 46th term.

Alex787 [66]

Given is an A.P. in which -

First term,a = 2
Common difference = Second term - First term

$\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad = a_2-a_1$

$\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad = 7-2$

$\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad = 5$

<h3><u>Solution:- </u></h3>

nth term of an A.P ,is given by-

$\green{ \underline { \boxed{ \sf{a_n =a+(n-1)d }}}}$

where

$a_n = nth \;term$
a = first term
n = number of term
d = common difference

Putting n = 46

$\begin{gathered}\\\implies \sf a_{46}= 2 + (46-1)\times 5 \\\end{gathered}$

$\begin{gathered}\\\implies \sf a_{46}= 2 + 45\times 5 \\\end{gathered}$

$\begin{gathered}\\\implies \sf a_{46}= 2 + 225 \\\end{gathered}$

$\begin{gathered}\\\implies \sf a_{46}= 227 \\\end{gathered}$

$\longrightarrow$ Therefore, the 46th term is 227

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2 years ago

Jim has a bag of marbles. In the bag are 12 red, 10 blue, 15 white, and 13 black marbles. Without looking he pulls a marble out

DanielleElmas [232]

Answer:

0.3

Step-by-step explanation:

In the bag are 12 red, 10 blue, 15 white, and 13 black marbles.

So total = 12 + 10 + 15 + 13 = 50 marbles

The probability he pulls a white marble = 15/50 = 0.3

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3 years ago