Answer:
y = 2/3x + 1
Step-by-step explanation:
<u>3y = 2x + 3 </u> Divide all by 3
3 3 3
y = 2/3x + 1 Slope is 2/3
Answer:
(-7,4)
Step-by-step explanation:
goal: (y-k)^2=4p(x-h)
y^2-8y=4x+12 Rearranged and added 4x and 12 on both sides
y^2-8y+(-8/2)^2=4x+12+(-8/2)^2 complete square time (add same thing on both sides)
y^2-8y+(-4)^2=4x+12+(-4)^2 (simplify inside the squares)
(y-4)^2=4x+12+16 (now write the left hand side as a square)
(y-4)^2=4x+28
(y-4)^2=4(x+7) factored...
vertex is (-7,4)
2/3 to 8 is the same ratio if we multiply both sides by 3/2 so:
2/3×3/2=1
8×3/2=12
So 1 to 12
Answer:
70.7
Step-by-step explanation:
a2 +b2 = c2
50^2 + 50^2 = c2
c2 = 2500+2500
c =
= 70.7
I hope im right!
Answer:

Step-by-step explanation:
To write the quadratic in standard form, begin by writing it in vertex form

Where (h,k) is the vertex of the parabola.
Here the vertex is (-3,-2). Substitute and write:

To find a, substitute one point (x,y) from the parabola into the equation and solve for a. Plug in (0,7) a y-intercept of the parabola.

The vertex form of the equation is
.
To write in standard form, convert vertex form through the distributive property.
