Answer:
(7, 1/2)
Step-by-step explanation:
Multiply second equation by 2 and subtract.
3x - 4y = 19
- (4x - 4y = 26)
You get -x = -7
x = 7
Substitute x into any equation.
3(7) - 4y = 19
21 - 4y = 19
-4y = -2
y = 1/2
Answer:
4000 times greater
Answer:
x=76 degrees
Step-by-step explanation:
< dij + < jih = 180 straight line
< dij + 107 = 180
subtract 107 from each side
< dij = 73
<jdi + < dij + <idj = 180 triangle
31 + 73 + < idj = 180
combine like terms
104+ < idj = 180
subtract 104 from each side
< idj = 76
<idj = < ajf vertical angles
76 < ajf
<ajf = x
x=76 degrees
Answer: Choice A
y = -3(x+2)^2 + 10
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Work Shown:
y = -3x^2-12x-2 is in the form y = ax^2+bx+c with
a = -3
b = -12
c = -2
The x coordinate of the vertex is
h = -b/(2a)
h = -(-12)/(2*(-3))
h = 12/(-6)
h = -2
We'll plug this into the original equation to find the corresponding y coordinate of the vertex.
y = -3x^2-12x-2
y = -3(-2)^2-12(-2)-2
y = 10
So k = 10 is the y coordinate of the vertex.
Overall, the vertex is (h,k) = (-2,10)
Meaning that we go from this general vertex form
y = a(x-h)^2 + k
to this
y = -3(x - (-2))^2 + 10
y = -3(x+2)^2 + 10
Answer:
division
Step-by-step explanation:
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