Answer:
(x + 10 and (x + 12)
Step-by-step explanation:
x^2 + 22x + 120 = ( ? )( ? )
We need to find two constants whose product is 120 and whose sum is 22.
Let the two constants be a and b. Then:
a*b = 120 and a + b = 22.
It's a bit easier to find a and b such that a + b = 22: 2 and 20, 4 and 18, 6 and 16, and so on. Note that 6 + 16 = 22 (correct) but that 6*16 = 96 (not correct). Try 8 and 14, 10 and 12. Note that 10 + 12 = 22 and that 10*12 = 120. So the desired roots are {10, 12} and the desired factors are (x + 10 and (x + 12).
Check: Does (x + 10)(x + 12) work out to x^2 + 22x + 120?
x^2 + 12x + 10x + 120 = x^2 + 22x + 120? YES
The factors are (x + 10 and (x + 12).
Answer: 164.53%
Step-by-step explanation:
105.3/64=1.6453125
1.6453125*100=164.53125
<u>164.53</u>125=164.53%
Notice the answer is greater than 100 percent. This is because 105.3 is greater than 64, meaning that 105.3 is greater than 100% of 64, so 105.3 will have a greater percent value.
Answer:
D.
Step-by-step explanation:
Answer:
dogs - 13
cats - 39
Step-by-step explanation:
Let the number of dogs Ma Bernier have be represented with d
She has 3 times as many cats as dogs, the number of cats she has :
cats = 3d
The sum of the cats and dogs is 52
d + 3d = 52
4d = 52
divide both sides of the equation by 4
d = 13
She has 13 dogs
Cats = 3d
= 3 x 13 = 39
Answer:
angle 3
angle 2
Step-by-step explanation:
Mathematically, from the angle sum theorem of triangles, the sum of two opposite interior angles of a triangle equals the exterior angle on the third side
Now, for angle 1, it is an exterior angle for angle 4
The two other opposite interior angles that would make angle 1 is simply angles 3 and 2