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ale4655 [162]
3 years ago
6

Solve for x. Round to the nearest tenth.

Mathematics
1 answer:
Misha Larkins [42]3 years ago
5 0

Answer:

Step-by-step explanation:

Youre given the adjacent and hypotenuse, so you can use cosine. SOHCAHTOA

cos(37) = 48/x

x = 60.1

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Equation of the parabola in vertex form that passes through (4,-7) and has a vertex of (1,-6)
Alina [70]

y = -\frac{1}{9}(x - 1)^2 - 6

Step-by-step explanation:

The vertex form of the equation for a parabola is given by

y = a(x - h)^2 + k

where (h, k) are the coordinates of the parabola's vertex. Since the vertex is at (1, -6), we can write the equation as

y = a(x - 1)^2 - 6

Also, since the parabola passes through (4, -7), we can use this to find the value for a:

-7 = a(4 - 1)^2 - 6 \Rightarrow -7 = 9a - 6

or

a = -\frac{1}{9}

Therefore, the equation of the parabola is

y = -\frac{1}{9}(x - 1)^2 - 6

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2 years ago
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