Answer:
28
Step-by-step explanation:
p(x)=-2(x-9)^2+100
Let x= 15
p(15)=-2(15-9)^2+100
Parentheses first
= -2 ( 6) ^2 + 100
Then exponents
= -2 * 36 + 100
Then multiply
= -72 + 100
Then add
=28
Answer:
<h2>50.8°</h2>
Step-by-step explanation:
First, we need to use the Pythagorean Theorem to find the third side. We will then use the law of cosines to find the angle.
2√15² = 2√6² + b²
60 = 24 + b²
Subtract 24
36 = b²
b = 6
Now, that we have all three sides, we will use the law of cosines to figure out the angle.
c² = a² + b² - 2abCosC°
Substitute the values in.
6² = 2√15² + 2√6² - 2(2√15)(2√6)CosC°
36 = 60 + 24 - 2(37.947331922)CosC°
36 = 60 + 24 - 75.894663844CosC°
36 = 84 - 75.894663844CosC°
Subtract 84
-48 = -75.9CosC°
0.63241106719 = CosC°
Arccos (0.63241106719) = 50.77176844°
The largest acute angle is approximately 50.8°
Answer:
1000
Step-by-step explanation:
This is because the number before 1000 is 999 which is the largest 3 digit number, therefore making 1000 the smallest 4 digit number.
Answer:
A
Step-by-step explanation:
√(x^5) = x^(5/2) = (x^2)√x
√9x = (√9)(√x) = (3)√x
which means: ((x^2)√x) + ((3)√x)
since both have a √x, you can factor it out. for example...if you look at A, if you apply the distributive property you can see it expands back out. hmu if you need a different. explanation
