$\bf ~~~~~~~~~~~~\textit{middle point of 2 points }
\\\\
A(\stackrel{x_1}{-5}~,~\stackrel{y_1}{-1})\qquad
B(\stackrel{x_2}{2a-7}~,~\stackrel{y_2}{b+7})
\qquad
\left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right)
\\\\\\
\left( \cfrac{(2a-7)-5}{2}~~,~~\cfrac{(b+7)-1}{2} \right)=\stackrel{\stackrel{midpoint}{M}}{(6,3)}\implies \begin{cases}
\cfrac{(2a-7)-5}{2}=6\\[-0.5em]
\hrulefill\\
\cfrac{(b+7)-1}{2}=3\\[0.8em]
(b+7)-1=6\\
b+6=6\\
\boxed{b=0}
\end{cases}$

4 0

4 years ago

100 ones equal how many tens

Pani-rosa [81]

100 ones equals to 10 tens

5 0

3 years ago

Read 2 more answers

A student takes a mathematics test scores of 52 and 64. What score on a third test will give the student

Shtirlitz [24]

Answer:

D. 64

Step-by-step explanation:

Setup an equation to solve for the missing test, x. Since you are doing average and there are three tests, divide the left side of the equation by 3. Set the equation equal to 60 since that is what we want the average to be.

$\frac{52+64+x}{3}=60$

Multiply both sides by 3 to remove it from the denominator.

$(3)\frac{52+64+x}{3}=60(3)$

$52+64+x=180$

Simplify and solve for x.

$52+64+x=180\\116+x=180\\116-116+x=180-116\\x=64$

5 0

2 years ago