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lawyer [7]
2 years ago
13

Which equation can be used to find the unknown length, b, in this triangle?

Mathematics
1 answer:
lisabon 2012 [21]2 years ago
8 0

Answer: Choice A

4^2 + b^2 = 5^2

This is due to the pythagorean theorem.

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Whats the vertex at of y-13=2(x+4)^2
Kipish [7]
The vertex form:
y=a(x-h)^2+k
(h,k) - the coordinates of the vertex

y-13=2(x+4)^2 \\
y=2(x+4)^2+13 \\
y=2(x-(-4))^2+13 \\ \\
h=-4 \\ k=13

The coordinates of the vertex are (-4,13).
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2 years ago
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Triangle ABC is an equilateral triangle.Find the angle of rotation that maps A to B
svet-max [94.6K]

The sum of the inner angles of any triangle is always 180°, i.e. you have


\alpha + \beta + \gamma = 180


In the particular case of an equilater triangle, all three angles are the same, so

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and the expression becomes


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which implies \alpha = 60


So, if you rotate the triangle with respect to its center by 60 degrees, the triangle will map into itself. In particular, if you want point A to be mapped into point B, you have to perform a counter clockwise rotation of 60 degrees with respect to the center of the triangle.


Of course, this is equivalent to a clockwise rotation of 120 degrees.


Finally, both solutions admit periodicity: a rotation of 60+k360 degrees has the same effect of a rotation of 60 degrees, and the same goes for the 120 one (actually, this is obvisly true for any rotation!)

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3 years ago
What is the equation of a line parallel to y=4 that passes through point (9,8)
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Step-by-step explanation:

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2 years ago
Simplify 5(x - 6).<br> 5x - 6<br> 0 5x - 30
Lesechka [4]

Answer:

It depends on what property you use

Step-by-step explanation:

If you use the distributive property then you would get 5x-30

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Answer:

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Step-by-step explanation:

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