Answer:
x=1
y=-4
Step-by-step explanation:
4x+y=0 -> y= -4x
2(-4x)+x=-7
-8x+ x=-7
-7x=-7
x=-7/-7=1
y=-4 . 1 = -4
Answer:
y = 2(x + 3)² - 4
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
Using the method of completing the square
y = 2x² + 12x + 14 ← factor out 2 from the first 2 terms
= 2(x² + 6x) + 14
To complete the square
add/subtract ( half the coefficient of the x- term)² to x² + 6x
y = 2(x² + 2(3)x + 9 - 9 ) + 14
= 2(x + 3)² - 18 + 14
= 2(x + 3)² - 4 ← in vertex form
Answer:
LM
Step-by-step explanation:
A midsegment is the line from the midpoint of 2 sides of the triangle and parallel to the third side.
L is at the midpoint of AB and M is at the midpoint of BC
LM is the midsegment
7 x 13 = 91.......so 91 is not a prime, it is a composite