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S_A_V [24]
3 years ago
8

How do I find the image after it’s been rotated 270 degrees about the point (-2,-1)?

Mathematics
1 answer:
White raven [17]3 years ago
7 0

Answer: (-1, 2)

Step-by-step explanation:

<u>It's a counter-clockwise rotation, that means (x, y) changes to (y, -x).</u>

(-2, -1) ⇒ (-1, -(-2)) ⇒ (-1, 2)

<u>If it's a clockwise rotation, then (x, y) will change to (-y, x)</u>

(-2, -1) ⇒ (-(-1), -2) ⇒ (1, -2)

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Step-by-step explanation:

pyramid, square and triangle

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How would you use the Fundamental Theorem of Calculus to determine the value(s) of b if the area under the graph g(x)=4x between
-BARSIC- [3]
The Fundamental Theorem of Calculus regarding geometry states that 
\int\limits^b_a g{(x)} \, dx = F(b)-F(a)

Where F is the indefinite integral of g(x)

The first step is to integrate g(x)
\int\ {4x} \, dx = \frac{4x^{1+1} }{1+1} = \frac{4x^{2} }{2} =2 x^{2}

Then substitute the value of b and a=1 into 2x^{2}

[2 (b)^{2}]-[2 (1)^{2}] = 240
2b^{2} -2=240
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2b^{2}=242
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Hence the limit of the area under g(x) is between a=1 and b=11

6 0
3 years ago
A ship's sonar locates a treasure chest at a 12° angle of depression. A diver is lowered 40 meters to the ocean floor. How far (
anastassius [24]

Answer:

The answer to your question is 8.5 m

Step-by-step explanation:

Data

angle = Ф = 12°

dept = 40 m

distance from the ship to the treasure = ?

Process

To solve this problem use trigonometric functions. The trigonometric function that relates the Opposite side and the adjacent side is tangent.

                      tan Ф = Opposite side / Adjacent side

-Solve for Opposite side

                      Opposite side = Adjacent side x tanФ

-Substitution

                      Opposite side = 40 x tan 12

-Simplification

                       Opposite side = 8.5 m

7 0
3 years ago
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