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Mila [183]
3 years ago
5

Write the expression in terms of sine only sin 9x cos 9x

Mathematics
1 answer:
Usimov [2.4K]3 years ago
6 0
\sin 2\alpha= 2\sin \alpha\cos\alpha\quad\Rightarrow\quad\sin 9x\cos 9x=\frac{1}{2}\sin 18x
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RectangleABCD has vertices at A(– 3, 1),B(– 2, – 1),C(2, 1), andD(1, 3). What is the area, in square units, of this rectangle? A
Anna [14]

Answer:

Option A. 10\ units^{2}

Step-by-step explanation:

we know that

The area of the rectangle is equal to

A=LW

where

L is the length of rectangle

W is the width of rectangle

we have

A(-3,1),B(-2,-1),C(2,1),D(1,3)

Plot the vertices

see the attached figure

L=AD=BC

W=AB=DC

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

<em>Find the distance AD</em>

A(-3,1),D(1,3)

substitute in the formula

AD=\sqrt{(3-1)^{2}+(1+3)^{2}}

AD=\sqrt{(2)^{2}+(4)^{2}}

AD=\sqrt{20}

AD=2\sqrt{5}\ units

<em>Find the distance AB</em>

A(-3,1),B(-2,-1)

substitute in the formula

AB=\sqrt{(-1-1)^{2}+(-2+3)^{2}}

AB=\sqrt{(-2)^{2}+(1)^{2}}

AB=\sqrt{5}

AB=\sqrt{5}\ units

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3 years ago
9. One winter day, the temperature increased
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Step-by-step explanation:

8 0
3 years ago
KX equals X +4 find K7
Andre45 [30]
KX = x+4 so solve for k. 
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Step-by-step explanation:

It just is lol.

4 0
3 years ago
In which direction must the graph of f(x) = |x| be shifted to produce the graph of g(x) = |x − 3|?
ElenaW [278]

Answer:

In which direction must the graph of f(x) = |x| be shifted to produce the graph of g(x) = |x − 3|?

A. left

B. down

C. up

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Right is the right answer.

6 0
3 years ago
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