Answer: q(x) = 0.005(x - 40)² + 70
<u>Step-by-step explanation:</u>
f(x) = a(x - h)² + k <em>where a is the vertical stretch and (h, k) is the vertex.</em>
Which coordinate shifts the graph up?<em> The y-coordinate for the vertex is k.</em>
p(x) = 0.005(x - 40)² + 60
q(x) = 0.005(x - 40)² + 60 <u>+ 10</u>
= 0.005(x - 40)² + 70
A = L * W
A = 70
70 = L * W
P = 2(L + W)
P = 34
34 = 2(L + W)
34/2 = L + W
17 = L + W
17 - W = L
70 = L * W
L = 17 - W
70 = W(17 - W)
70 = -W^2 + 17W
W^2 - 17W + 70 = 0
(W - 10)(W - 7) = 0
W - 10 = 0 L = 17 - 10
W = 10 L = 7
W - 7 = 0 L = 17 - 7
W = 7 L = 10
so either the width is 10 meters and the length is 7 meters OR the width is 7 meters and the length is 10 meters
Answer:
1. Let's solve for x.
−3x+5y=−6
Step 1: Add -5y to both sides.
−3x + 5y + −5y = −6 + −5y
−3x = −5y − 6
Step 2: Divide both sides by -3.
−3x
−3
=
−5y−6
−3
x=
5
3
y+2
2. Let's solve for x.
6x−10y=12
Step 1: Add 10y to both sides.
6x−10y+10y=12+10y
6x=10y+12
Step 2: Divide both sides by 6.
6x
6
=
10y+12
6
x=
5
3
y+2
Y^-5
x^-5
because you have to put together all the x and then put all the y's together