Answer:
C
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Given
y = 2x² + 12x + 1
To express in vertex form use the method of completing the square.
The coefficient of the x² term must be 1 , thus factor out 2 from 2x² + 12x
y = 2(x² + 6x) + 1
add/ subtract ( half the coefficient of the x- term)² to x² + 6x
y = 2(x² + 2(3)x + 9 - 9) + 1
= 2(x + 3)² - 18 + 1
= 2(x + 3)² - 17 → C
The number is 157. you can find this answer by multiplying 43 by 3 and adding the answer to 28 to get 157. then check your work by dividing 157 by 43 to get 3r28. hope this helps
Answer:
I believe it would be equality.
Step-by-step explanation:
Equality means "The state of being equal". All of those problems equal 12 and not separate numbers, if they equaled different numbers then it would be congruence, therefor your answer is equality.
Hope this helps :)
Answer:1/4 division of 3 is 1/12
3/4 is the second one
Step-by-step explanation:
let's start with attempting to isolate the variable. remember what you do to one side you have to do to the other. -1
2x=3/4x+8
-3/4x from both sides
5/4x = 8
multiply both sides by 4
5x =32
divide both sides by 5
x=6.4 or 6 2/5. sorry if this is wrong
