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3 years ago

Function: y = 2(x + 3)² +1

Mathematics

1 answer:

erastovalidia [21]3 years ago

3 0

Answer:

10x

Step-by-step explanation:

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Mitch lives on the 20th floor of an apartment building. Every time he leaves, he rides a self-service elevator from the 20th flo

weeeeeb [17]

Answer:

He does that because he is short and his hand can't reach the 20th floor button

Step-by-step explanation:

Mitch does that simply because he is short.

When he is leaving, he doesn't need to reach the 20th floor button because the button is way taller than the reach of his hands whereas when he is returning he has to reach the 20th floor button but his hand can only reach the 15th floor button. Thus, he gets to the 15th floor and walks up the remaining 5 flights.

5 0

3 years ago

Prime factorization of 5 is?

SCORPION-xisa [38]

Answer:

5 is a prime number which means that it can only have 2 factors which is 1 and 5

Step-by-step explanation:

Hope this helps:)

8 0

2 years ago

The vertex of this parabola is at (2, -4). When the y-value is -1, the x-value is 3. What is the coefficient of the squared term

Blizzard [7]

$\bf ~~~~~~\textit{parabola vertex form}
\\\\
\begin{array}{llll}
\boxed{y=a(x- h)^2+ k}\\\\
x=a(y- k)^2+ h
\end{array}
\qquad\qquad
vertex~~(\stackrel{2}{ h},\stackrel{-4}{ k})\\\\
-------------------------------\\\\
\underline{y}=a(\underline{x}-2)^2-4
\\\\\\
\textit{we also know that }
\begin{cases}
y=-1\\
x=3
\end{cases}\implies \underline{-1}=a(\underline{3}-2)^2-4
\\\\\\
3=a(1)^2\implies 3=a$

8 0

3 years ago

Find the distance using the modulus of the difference between z1 = -8 + 3i and z2 = 7 - 4i. Show all work for full credit.

3241004551 [841]

Answer:

$\sqrt{274}$

Step-by-step explanation:

Given $z_1=-8+3i,\ z_2=7-4i.$

1. Find the difference $z_1-z_2:$

$z=z_1-z_2=-8+3i-(7-4i)=-8+3i-7+4i=(-8-7)+(3i+4i)=-15+7i.$

This complex number has real part $Rez=-15$ and imaginary part $Imz=7.$

2. The modulus of complex number z is

$|z|=\sqrt{Re^2z+Im^2z}=\sqrt{(-15)^2+7^2}=\sqrt{225+49}=\sqrt{274}.$

5 0

4 years ago

Read 2 more answers

a bike race is 6 miles long by noon tammy had ridden 3/4 of the distance. at this rate how long will it take her to finish the r

Tasya [4]

The racer take 4 hours (between 8:00 to 12:00) to race 3/4 of 6 miles

3/4 of 6 miles = 18/4 = 4.5 miles

4 hours ⇒ 4.5 miles
1 hour ⇒ 4.5 ÷ 4 = 1.125 miles

The time taken to complete 6 miles = 6 ÷ 1.125 = 16/3 hours = 5.3 hours

4 0

3 years ago