Step-by-step explanation:
well, the starting equation and the target format have been given.
let's do the multiplications and compare the target with the starting information.
from there we see what is different or missing.
x² + 14x + 13 = 0
and
(x - p)² = q
x² - 2px + p² = q
x² - 2px + (p² - q) = 0
now let's compare the different parts :
x² = x²
-2px = 14x
-2p = 14
p = -7
p² - q = 13
-7² - q = 13
49 - q = 13
36 - q = 0
q = 36
so, the square (x - p)² = (x + 7)² is completed when
x² + 14x + 49 = 0
but we have only "+ 13". so we need to add 36 to get 49. but we need to do it on both sides, to keep the equation true :
x² + 14x + 13 + 36 = 36
x² + 14x + 49 = 36
(x + 7)² = 36
just as we calculated already above.
and now this can be solved by pulling the square root on both sides (a quadratic equation has always 2 solutions)
x + 7 = ±6
x1 = 6 - 7 = -1
x2 = -6 - 7 = -13
-5=-5
-12+7 = x+3
-5 = x+3
-5-3 =x
x = -8
-12+7 = -8 +3
-5 = -5
Answer:
42%
Step-by-step explanation:
Given: P(M) = 0.52, P(A) = 0.33, and P(M and A) = 0.27.
Find: P(not M and not A).
P(not M and not A) = 1 − P(M or A)
P(not M and not A) = 1 − (P(M) + P(A) − P(M and A))
P(not M and not A) = 1 − (0.52 + 0.33 − 0.27)
P(not M and not A) = 1 − 0.58
P(not M and not A) = 0.42
For this case we have the following equation:
y = -8
The equation is a horizontal line.
The horizontal line cuts to the axis and in the following point:
(x, y) = (0, -8)
The horizontal line does not cut to the x axis.
Answer:
b. No x-intercept y-intercept is (0, -8)
Answer:
Center
Minor segment.
Step-by-step explanation:
See the attached diagram of the circle.
Here, two blanks are there and we have to fill up with the correct circle vocabulary.
The blank with an arrow can be filled up by the Center of the circle about which the circle is drawn.
And the other blank should be the Minor segment of the circle.
A chord divides the circle into two areas, major and minor segments. (Answer)
