$\bf ~~~~~~~~~~~~\textit{middle point of 2 points }\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&J&(~ 0 &,& 2~) 
% (c,d)
&H&(~ x &,& y~)
\end{array}\qquad
% coordinates of midpoint 
\left(\cfrac{ x_2 + x_1}{2}\quad ,\quad \cfrac{ y_2 + y_1}{2} \right)
\\\\\\
\left(\cfrac{x+0}{2}~~,~~\cfrac{y+2}{2} \right)=\stackrel{midpoint~T}{(0~,~5)}\implies 
\begin{cases}
\cfrac{x+0}{2}=0\\\\
\boxed{x=0}\\
------\\
\cfrac{y+2}{2}=5\\\\
y+2=10\\
\boxed{y=8}
\end{cases}$

6 0

3 years ago

In the science club, 1/2 the students are freshman, 1/20 are sophomores, 1/10 are juniors, and 70 students are seniors. How many

Nataly [62]

So we are using the denominator 20.

1/2 of 20 would be 10.

So, out of 20 we multiply it by 10 since it is our numerator.

Now, we have converted it to 100/200.

Freshman : 100 students

Sophomores : 10 students

Juniors : 20 students

Seniors : 70 students

6 0

3 years ago

Part 1.] Identify the transformations that describe the graph of an odd function. Select all that apply.

Zarrin [17]

Hello,

1) A odd function has the propriety f(-x)=-f(x)
Answer E

2)
if f(x) is even f(x)=f(-x)
if g(x) is even g(x)=g(-x)

h(x)=f(x)+g(x)=(f+g)(x)
h(-x)=(f+g)(-x)=f(-x)+g(-x)=f(x)+g(x)=(f+g)(x)=h(x)

h(x) is even

3 0

3 years ago