The vertex of the graph of the function g(x) = (x - 2)^2 + 3 is 2 units to the right and 3 units up of the vertex of the graph of the function f(x) = x^2.
Answer:
x = 12
Step-by-step explanation:
(6x-2) + 20 = 90
6x-2 = 70
6x = 72
72 / 6 = 12
x = 12
Answer:
y = -2x + -3
Step-by-step explanation:
The line has a slope of -2 because when counting from point to point, its 2 down and one over; 2/1 or 2 (negative because the line is going down)
The intercept in -3 because thats the first place the line touches the y axis.
Answer:
A=35, B=55, and C=25
Step-by-step explanation:
Angle A and the angle next to it are linear pairs, so you can subtract 145 from 180.
if you already know Angle A, and that the other angle is 90 degress, you can add 90+35 and subtract it from 180 to get Angle B
Angle C is paired with the angle across from it (I forgot what the term is called) so it is 25 degrees.
Answer:
Step-by-step explanation:
<em>Hey there!</em>
<em />
Well to find the solution the the given system,
3y - 2x = -9
y = -2x + 5
So to find x lets plug in -2x + 5 for y in 3y - 2x = -9.
3(-2x + 5) - 2x = -9
Distribute
-6x + 15 - 2x = -9
-8x + 15 = -9
-15 to both sides
-8x = -24
Divide -8 to both sides
<u>x = 3</u>
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Now that we have x which is 3, we can plug in 3 for x in y = -2x + 5.
y = -2(3) + 5
y = -6 + 5
<u>y = -1</u>
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So the solution is (3,-1).
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<em>Hope this helps :)</em>
