Answer:
37.7 mi²/h
Step-by-step explanation:
The area formula is ...
A = πr²
Differentiating with respect to time gives ...
dA/dt = 2πr·dr/dt
Filling in the given values, we have ...
dA/dt = 2π(3 mi)(2 mi/h) = 12π mi²/h
The area is increasing at the rate of about 37.7 mi² per hour.
Your answer is x = 3 because if you take 150 and subtract it by both sides:
150 - 35x = 45
-150 -150
you have to cross out both 150 and -150, take 45 and subtract 150 which will give you -105.
-35x = -105
take -35 and divide by both sides. Cross out the two -35's. Take -105/-35 which your answer is x = 3. Hopes this helps. :)
~Shadow
Complementary angles ⇒ the angles add up to 90°
∠A and ∠B are complementary ⇒ ∠A + ∠B = 90°
∠A + ∠B = 90°
Plug in the values for ∠A and ∠B:
(3x - 8) + (5x + 10) = 90
Open the brackets:
3x - 8 + 5x + 10 = 90
Combine like terms:
8x + 2 = 90
Subtract 2 from both sides:
8x = 88
Divide both sides by 8:
x = 11
Answer: x = 11
Answer:
The zeros are x=7 and x= -6
Step-by-step explanation:
In order to find the zeros of a function with factors, we have to equate the factors to zero.
So x-7 = 0
and
x+6 = 0
Then we solve for x in each equation,
x= 7 and x= -6
These values are the zeros
Geometric sequence is times r each time
a term divideded by the previous term is r
(-2x^2-6x)/(x+3)=-2x
first term is x+3
an=a1(r)^(n-1)
an=(x+3)(-2x)^(r-1)
8th term
an=(x+3)(-2x)^(8-1)
an=(x+3)(-2x)^7
an=(x+3)(-128x^7)
an=-128x^7-384 is the 8th term
