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NARA [144]
2 years ago
12

Solve for x. Round to the nearest tenth, if necessary. X H

Mathematics
2 answers:
Alex Ar [27]2 years ago
8 0

In this problem we are given an angle and two sides. Therefore, we should use a trigonometric function to solve for x.

Trigonometric Functions: SOH-CAH-TOA

Looking from the 23 degree angle, we have the adjacent side and the opposite side. Therefore, we should use the tangent function.

tan(23) = x / 2

x = tan(23) * 2

x = 0.8489

x = 0.8

Hope this helps!

JulsSmile [24]2 years ago
5 0

Step-by-step explanation:

  • ATTACHED IS THE SOLUTION!

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What is the y-value of the vertex of the function f(x)=-(x+8)(x-14)?<br> 3<br> 6<br> 112<br> 121
MAXImum [283]

Answer:

121

Step-by-step explanation:

Given

f(x) = - (x + 8)(x - 14) ← expand factors using FOIL

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Given a quadratic in standard form. y = ax² + bx + c : a ≠ 0

Then the x- coordinate of the vertex is

x_{vertex} = - \frac{b}{2a}

f(x) = - x² + 6x + 112 ← is in standard form

with a = - 1 and b = 6, thus

x_{vertex} = - \frac{6}{-2} = 3

Substitute x = 3 into f(x) for corresponding value of y

f(3) = - (3)² + 6(3) + 112 = - 9 + 18 + 112 = 121

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Step-by-step explanation:

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Answer from Gauthmath

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Step-by-step explanation:

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