Answer:
2:3
Step-by-step explanation:
(By factoring & setting the answer equal to zero)
B.) use h=-b/2a to get vertex
Answer:
see below
Step-by-step explanation:
y=x^2-4x-12
Set equal to 0 to find the zeros
0 =x^2-4x-12
Factor. What 2 numbers multiply to -12 and add to -4
-6*2 = -12
-6+2 = -4
0= (x-6) (x+2)
Using the zero product property
0=x-6 0 = x+2
x=6 x = -2
zeros: -2,6
Vertex
h = -b/2a = - (-4)/ 2(1) = 4/2 = 2
OR Average the roots (-2+6)/2 = 4/2 =2
The y coordinate is found by substituting into the equation
y = (2)^2 -4(2) -12
y = 4-8-12
y =-16
vertex : (2, -16)
Answer:
x = -2, 6
Vertex: (2,-16)
Step-by-step explanation:
x² - 4x - 12
x² - 6x + 2x - 12
x(x - 6) + 2(x - 6)
(x - 6)(x + 2) = 0
x = -2, 6
h = -(-4)/2
h = 4/2
h = 2
k = 2² - 4(2) - 12
k = 4 - 8 - 12
k = -16
Vertex: (2,-16)
12+-132
v+914=-23
Answer and step-by-step explanation:
The box must be 5 inches long.
The formula for the volume of a rectangular prism (a box) is
V = length*width*height
The volume of 200, the height is 10 and the width is 4. This gives us
200 = length*10(4)
Letting x be the length,
200 = x(10)(4)
200 = 40x
Divide both sides by 40:
200/40 = 40x/40
5 = x