Answer:
Here ya go! Have a great day!
Answer:
(x + 5)(x + 4)
Step-by-step explanation:
Given
x² + 9x + 20
Consider the factors of the constant term (+ 20) which sum to give the coefficient of the x- term (+ 9)
The factors are + 5 and + 4, since
5 × 4 = 20 and 5 + 4 = 9, thus
x² + 9x + 20 = (x + 5)(x + 4)
Answer:
To find out which one is the better buy we have to find out what the unit price of each one is. To find a unit price you divide the ounce by the cost.
Step-by-step explanation:
5/90=18 cents
12/240=5 cents
the 12 ounce can is less per ounce so the 12 ounce can is the better buy.
1) we have to calculate the first derivative:
h´(t)=-32t+32
2)the first derivative equate to "0"
-32t+32=0
3) obtein value of "t"
-32t+32=0
t=-32/32=1
4) we have to calculate the second derivative
h´´(T)=-32<0 ⇒ exist a maximum in t=1
5) now calculate the maximum height.
h(1)=20-16(1)²+32(1)=36 m
Answer: the maximum heigth was 36 m
This is using the Pythagorean theorem. 2 sides of the triangle can get you the third side but only when it’s a right triangle.
The formula goes a^2+b^2=c^2, where a and b are legs of the triangle (the non hypotenuse sides), and c is the hypotenuse (the side opposite to the right angle).
In this problem, we have one leg and the hypotenuse.
So a^2+7^2=10^2.
Simplify
a^2+49=100
Subtract both sides by 49
a^2=100-49=51
Square root both sides
a=sqrt(51). 51 is prime so the radical cannot be simplified further.
