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3 years ago

15

A contractor is given a scale drawing of a rectangular patio. The scale from the patio to the drawing is 4 ft to 1 in. What is t

he area of the actual patio

2 answers:

iogann1982 [59]3 years ago

6 0

Answer:

.

Step-by-step explanation:

Darya [45]3 years ago

4 0

Answer:

192ft^2

Step-by-step explanation:

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The vertex of a parabola is at (6,5), and its axis of symmetry is vertical. One of the x-intercepts is at (8, 0). What is the x-

Elena-2011 [213]

Answer:

$x=4$

Step-by-step explanation:

Vertex form of the quadratic equation: $f(x) = a(x - h)^2+k$

where the vertex is $(h, k)$

Given vertex = (6, 5):

$\implies f(x) = a(x - 6)^2+5$

If one the x-intercepts is (8, 0):

$\implies f(8) =0$

$\implies a(8 - 6)^2+5=0$

$\implies 4a+5=0$

$\implies a=-\dfrac{5}{4}$

Therefore, equation of parabola:

$\implies f(x) = -\dfrac54(x - 6)^2+5$

x-intercepts occur when f(x) = 0:

$\implies f(x)=0$

$\implies -\dfrac54(x - 6)^2+5=0$

$\implies -\dfrac54(x - 6)^2=-5$

$\implies (x - 6)^2=4$

$\implies x-6=\pm 2$

$\implies x=8, x=4$

Therefore, the x-coordinate of the other x-intercept is 4.

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2 years ago