Step-by-step explanation:
1. We we can split 4p into 9p - 5p, and now we have 3p² + 9p - 5p - 15 = 0. We can take out 3p from the first 2 terms and -5 from the last 2 terms. This gets us 3p (p + 3) -5 (p + 3) = 0. These two terms have (p + 3) as a common facor, so we can take that out as well, which give us (p + 3)(3p - 5) = ). Using Zero Product Property, p + 3 = 0 and 3p - 5 = 0, and when we solve each equation, we get p = -3, p= 5/3.
2. We will use the same process.
6x² + 14x - 3x - 7 = 0
2x (3x+7) - 1 (3x+7) = 0
(3x + 7)(2x - 1) = 0
3x + 7 = 0, 2x - 1 = 0
x = -7/3, x=1/2
Hope this helps!
22)
The formula for the area of a circle is:
π*radius^2
Input the information we already know:
π*5^2
Follow BEDMAS
π*25
=78.5398163
Since half of the circle is shaded, divide the area by 2
78.5398163/2
=39.2699081
The area of the shaded sector is 39.2699081 meters²
Answer:
It will not be enough as it should have been 4 left handed gloves.
Step-by-step explanation:
Izzy estimates 10% of the players are left handed so he orders 3 left handed gloves will not be enough because of the following:
10% of 36 is 3.6
36 * 10 / 100 = 3.6
Therefore taking the estimation 3.6 is equal 4
Let
l-------> the slant height of the right pyramid
b------> the length side of the square base of the right pyramid
h------> the height of the right pyramid
we know that
Applying the Pythagorean Theorem
Solve for h
in this problem we have
Substitute in the formula
therefore
<u>the answer is</u>
The height of the right pyramid is 
