K² + 13k + 30 = 0
This is a quadratic equation. Let's attempt solving it by factorization.
Coefficient of k² = 1, last term = 30
Multiply these two together 1*30 = 30
We think of two numbers that multiply to give 30 and add to give the middle term 13.
The two numbers are 3 and 10.
3*10 = 30, 3 + 10 = 13.
we replace the 13k with 3k + 10k
k² + 13k + 30 = 0
k² + 3k + 10k + 30 = 0
k(k + 3) + 10(k + 3) = 0
(k + 3)(k + 10) = 0
(k + 3) = 0 or (k + 10) = 0
k = 0 - 3 or k = 0 - 10
k = -3, or -10
I hope this helps.
Answer:
Step-by-step explanation:
angle 4 is congruent to angle 4 because they are alternate interior angles.
angle 5 is congruent to angle 3 because they are alternate interior angles.
angle 1+angle 2+angle 3 is equal to (=) angle 1+angle 2+angle 3
angle 1+angle 2+angle 3=180 degree(being sum of interior angles of a trianngle)
Answer:
Step-by-step explanation:
If you want the surface area of a rectangular prism, then you'll use a formula resembling this:
A = 2(area of end) + 2(area of top) + 2 (area of side).
Example: suppose the dimensions of the prism are 3 in by 5 in by 8 in.
Then the total surface area is:
A = 2(3*5) + 2(3*8) + 2(5*8) square inches, or 2(15) + 2(48) + 2(40) sq in, or
A = 30 + 96 + 80 sq in, or A = 206 sq in
4x5=20,so your answer is 20
First you have to make it multiplication so you flip 5/2 around and the two “2’s” will cancel each other so it will be 17/5 or 3 2/5
