Vertex form of a parabola
<span>y = a (x - h)^2 + k </span>
<span>where (h, k) is the vertex </span>
Substituting the values of h and k.
we get,
<span>y = a(x + 4)^2 + 2 </span>
<span>substituting in the point (0, -30) for x and y
</span><span>-30 = a (0 + 4)^2 + 2
</span>solve for a,
<span>-30 = 16 a + 2 </span>
<span>-32 = 16 a </span>
<span>-2 = a </span>
<span>y = -2(x + 4)^2 + 2 </span>
<span>Put y = 0 </span>
<span>-2 x^2 - 16 x - 30 = 0 </span>
<span>-2(x^2 + 8 x + 15) = 0 </span>
<span>x^2 + 8 x + 15 = 0 </span>
<span>(x + 3)(x + 5) = 0 </span>
<span>x = -3
x = -5</span>
The answer is 42 feet I use substitution and subtract by 8
Step-by-step explanation:
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<em><u>o</u></em><em><u>r</u></em><em><u>,</u></em><em><u>x</u></em><em><u><</u></em><em><u>1</u></em><em><u>2</u></em><em><u>/</u></em><em><u>5</u></em>
<em><u>or</u></em><em><u>,</u></em><em><u>x</u></em><em><u><</u></em><em><u>2</u></em><em><u>.</u></em><em><u>4</u></em>
<em><u>:</u></em><em><u>.</u></em><em><u>x</u></em><em><u><</u></em><em><u>2</u></em><em><u>.</u></em><em><u>4</u></em>
Answer:
y = 1/2x + 7
Step-by-step explanation:
Parallel lines have the same slope.
Therefore the new equation will have a slope(m) = 1/2
Substitute m = 1/2 and point (-2, 6) into y = mx + b to solve for "b"
y = mx + b
6 = 1/2(-2) + b
6 = -1 + b
7 = b
The new equation: y = mx + b
y = 1/2x + 7