Answer: (C) x² - 4x + 5 = 0
<u>Step-by-step explanation:</u>
x = 2 ± i
⇒ x = 2 + i and x = 2 - i
⇒ x - (2 + i) = 0 and x - (2 - i) = 0
0 = (x - 2 - i)(x - 2 + i)
= x(x - 2 + i) -2(x - 2 + i) -i(x - 2 + i)
= x² - 2x +xi -2x + 4 <u>- 2i</u> -xi <u>+ 2i</u> - i²
= x² - 4x + 4 - i²
= x² - 4x + 4 -(-1)
= x² - 4x + 5
***************************************************
Answer: B
Explanation:
The slope from (0, 0) to (1, 4) is a rise of 4 and a run of 1, thus, m = 4/1 = 4
Answer:
Step-by-step explanation:
answer is 3
Answer:
Yellow Paint: 0.44736842105%
Red Paint: 0.19736842105%
Water: 0.35526315789%
Step-by-step explanation:
Yelow:
30 x 0.3 = 9
8 + 9 = 17
30 + 8 = 38
17/38 = 0.44736842105%
Red:
30 x 0.25 = 7.5
7.5/38 = 0.19736842105%
Water:
30 x 0.45 = 13.5
13.5/38 = 0.35526315789%
Answer:
-5
Step-by-step explanation:
The parabolas equation is
(y - k)^2 = 4p(x - h)
Where h,k is the vertex
Substituting the vertex ad (2,-4)
(y - -4)^2 = 4p(x - 2)
(y +4)^2 = 4p(x - 2)
We need to find p from the other point they give us (-3,-3)
(-3 +4)^2 = 4p(-3 - 2)
1^2 = 4p (-5)
1 = -20p
Divide by -20
1/-20 = -20p/-20
-1/20 = p
Substituting back into the equation
(y +4)^2 = 4(-1/20)(x - 2)
Simplifying
(y +4)^2 = (-1/5)(x - 2)
FOILing
y^2 +8y +16 = -1/5x +2/5
Multiply by 5
5y^2 +40y +80 = -x +2
Subtract 2
5y^2 +40y +80-2 = -x +2-2
5y^2 +40y +78 = -x
Multiply by -1
-5y^2 -40y -78 = x
The coefficient of y^2 is -5
