<span>1) 2p = -2.
<span> 4p [ y - k ] = [ x - h) ]² --- > - 4 [ y + 5 ] = [ x + 5 ]²
2) </span></span><span>4p * (y - k) = (x - h)^2 </span>
<span>(h , k) is the vertex </span>
<span>The vertex is halfway between the focus and the directrix (when they're at their closest) </span>
<span>p is that distance </span>
<span>2 - 1 = 1 </span>
<span>4p = 1 </span>
<span>p = 1/4 </span>
<span>(1/4) * (y - k) = (x - h)^2 </span>
<span>y - k = 4 * (x - h)^2 </span>
<span>The vertex is at (6 , 3/2), since that's midway between (6 , 1) and (6 , 2) </span>
<span>y - 3/2 = 4 * (x - 6)^2 </span>
<span>y = (3/2) + 4 * (x - 6)^2
</span><span>
4) </span><span>f(x) = (-1/16)*(x²)
</span><span>
5) </span><span>f(x) = −1/4 x2 − x + 5</span><span>
</span>
Answer:
35
Step-by-step explanation:
All triangles = 180 degrees so as shown there is a right angle(90 degrees) and a 55 degree angle and there is A.
So you will subtract 90 and 55 from 180 to find A.
=35 degrees
Now or B , A and B are vertical angles which means they are congruent or equal to each other so the measure of angle B is 35.
Answer:
- a) f(x) = - 20x + 450
- b) 30 pages left to read
Step-by-step explanation:
<u>Given sequence:</u>
The first term is 430 and the common difference is - 20.
a)
<u>Required function is:</u>
- f(x) = 430 - 20Ix - 1) = 430 - 20x + 20 = 450 - 20x
or
b)
<u>Find the number of pages left after 21 days:</u>
- f(21) = 450 - 20*21 = 450 - 420 = 30
Answer:
7/1
Step-by-step explanation:
There are 7 players if the coach randomly draws a name that determines who stays on the bench there is a 1/7 chance Brianna will stay on the bench because there are 7 people and Brianna is 1 of them