Answer:
The values of k will be:
Step-by-step explanation:
Let the expression of polynomial P be
Let the expression if the polynomial Q be
Plug in Q(x) = 0
0 = x+2
x = -2
As (x+2) is a factor of 3x²-4kx-4k²
substitute x = -2 in the the polynomial
3x²-4kx-4k² = 0
Write in the standard form ax²+bx+c = 0
Factor out common term -4
Factor k²-2k-3: (k+1)(k-3)
Using the zero factor principle
if ab=0, then a=0 or b=0 (or both a=0 and b=0)
solving k+1=0
k+1 = 0
k = -1
solving k-3=0
k-3=0
k = 3
Thus, the values of k will be:
1- Vertical2- Supplementary3- Vertical
4-complementary
5-complementary
6- adjacent
95 degrees
you do 180-120 and get 60 and then add 60 and 25 together and that is 85. then u do 180-85 and get 95
Answer:
-7.6+9=1.4
Step-by-step explanation:
increased by is addition
Let's call their parts w,m and s
if will paid 1/3, then m+s=2w (they paid 2/3, which is twice as much as will did)
Now, we know that:
Micah and Sue paid in the ratio 2:3.
this means the 3m=2s
and m=2/3s
Again:
m+s=2w
and we substitute m:
2/3s+s=2w
5/3s=2w// multiply both sides by 3
5s=6w
we also know that s=w+6 (from the last sentence) so we substitute:
5(w+6)=6w
5w+30=6w
30=w
so, Will paid 30, Sue paid 36 (six more than him), Mike paid 24 (24:36 is the same ratio as 2:3, you can check this by dividing both 24 and 36 by 12: you have 2 and 3)
and the total was 30+36+24=90.
