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artcher [175]
3 years ago
9

Find the missing length

Mathematics
1 answer:
olga55 [171]3 years ago
4 0

Answer:

θ ≈ 36.03°

Step-by-step explanation:

We can use tangent (opposite side / adjacent side) for this question:

tan (θ) = 8 / 11

θ = tan⁻¹ (8/11)

θ = 36.02737339

θ ≈ 36.03°

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Which of the following graphs is described by the function given below? <br>y = x2 - 6x-7 ​
Zanzabum

Answer:

A

Step-by-step explanation:

We are given the function:

\displaystyle y = x^2 - 6x - 7

And we want to determine its graph.

One of the most important features of a quadratic is its vertex. So, we can start by finding the vertex using the formulas:

\displaystyle \text{Vertex} = \left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)

In this case, <em>a</em> = 1, <em>b</em> = -6, and <em>c</em> = -7.

Find the <em>x-</em>coordinate of the vertex:

\displaystyle x = -\frac{(-6)}{2(1)} = 3

Substitute this back into the equation to find the <em>y-</em>coordinate:

\displaystyle y(3) = -16

Therefore, our vertex is at (3, -16).

The only graph whose quadratic's vertex is at (3, -16) is Graph A. Thus, our answer is A.

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3 years ago
Is 2.1 bigger than 2.20
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3 years ago
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Help with 8, 9 and 10 plz :’)
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Question 17&amp;18. Make x the subject of the formula
aniked [119]

Answer:

17. x = y^2 - 2ay +a^2

18. x = y^2 - a

Step-by-step explanation:

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squaring both sides,

x = y^2 - 2ay +a^2

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So y^2 = x+a.

Isolating the x, we get

x = y^2 - a

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3 years ago
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