Answer:
y = - 2(x - 1)² + 18
Step-by-step explanation:
- 2x² + 4x + 16 ← factor out - 2 from the first 2 terms
= - 2(x² - 2x) + 16
using the method of completing the square
add/subtract ( half the coefficient of the x- term)² to x² - 2x
= - 2(x² + 2(- 1)x + 1 - 1) + 16
= - 2(x - 1)² + 2 + 16
= - 2(x - 1)² + 18 ← in vertex form
Answer:400
Step-by-step explanation:
25% multiplied by 4 would be 100%. So 100 times 4 is 400. Which means which means 100 is 25% of 400.
Question
What is the value of x
Answer:
<h2>
39</h2>
Step-by-step explanation:
the sum of the interior angles is 180° (triangles only)
take away from 180° the know angles
180 - 102 - 39 =
39
Answer:
16/81
Step-by-step explanation:
Given the expression, 81y'' = -16y where y = coskt,
We want to know the value of k that satisfies the expression
y' = -ksinkt
y" = -k²coskt
Substitute y and y" into the expression given;
81y'' = -16y
81(-k²coskt) = -16(kcoskt)
-81k = -16
Divide both sides by -81
-81k/-81 = -16/-81
k = 16/81
Hence the value of k is 16/81
Answer:
All you have to do to identify the number of terms in a polynomial is to count the number of separate parts in the polynomial separated by a plus or minus (terms)
Step-by-step explanation: