Answer:
x ≈ - 10.65, x ≈ - 5.35
Step-by-step explanation:
Given
(x + 8)² - 7 = 0 ( add 7 to both sides )
(x + 8)² = 7 ( take the square root of both sides )
x + 8 = ±
( subtract 8 from both sides )
x = - 8 ±
, thus
x = - 8 -
≈ - 10.65
x = - 8 +
≈ - 5.35
The angle does not matter. Think of it as finding the other side to a triangle. Use

a=39 (line AB)
b=b (the leg we need to find)
c=89 (line BD)


(subtract the 1521 from both sides)

(square root both sides)

b = 80
AD=80
Answer: There is sufficient evidence to reject the dealer's claim that the mean price is at least $20,500
Step-by-step explanation:
given that;
n = 14
mean Ж = 19,850
standard deviation S = 1,084
degree of freedom df = n - 1 = ( 14 -1 ) = 13
H₀ : ц ≥ 20,500
H₁ : ц < 20,500
Now the test statistics
t = (Ж - ц) / ( s/√n)
t = ( 19850 - 20500) / ( 1084/√14)
t = -2.244
we know that our degree of freedom df = 13
from the table, the area under the t-distribution of the left of (t=-2.244) and for (df=13) is 0.0215
so P = 0.0215
significance ∝ = 0.05
we can confidently say that since our p value is less than the significance level, we reject the null hypothesis ( H₀ : ц ≥ 20,500 )
There is sufficient evidence to reject the dealer's claim that the mean price is at least $20,500
Answer:
D. -10, 10
Step-by-step explanation:
Instead of inserting values into x to solve, let's isolate x.
In order to do this, we must take the square root of both sides.


To find the square root of 100, we must figure out what = 100 when multiplied by itself. Reminder, it can be both a positive or a negative square root, as positive times positive is a positive, and negative times negative is a positive.
The square root of 100 is -10 or 10, as 10 x 10 or -10 x -10 = 100.
<u><em>Hope this helps! :)</em></u>