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3 years ago

Which equation represents a direct variation?

Mathematics

1 answer:

Alecsey [184]3 years ago

7 0

Answer:

y= 1/2 x Im sure thats the answer.

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See above to see question

andrew-mc [135]

Answer:

A)65°

B)110°

C)50°

D)55°

E)80°

Step-by-step explanation:

Since the angle on a straight line should be 180, you simply subtract the given angles from 180

hope I helped

8 0

3 years ago

Use the power reduction formulas to rewrite the expression. (Hint: Your answer should not contain any exponents greater than 1.)

Lapatulllka [165]

Some useful relations and identities:

$\tan x=\dfrac{\sin x}{\cos x}$

$\sin^2x=\dfrac{1-\cos2x}2$

$\cos^2x=\dfrac{1+\cos2x}2$

By the first relation, we have

$\tan^2x\sin^3x=\dfrac{\sin^5x}{\cos^2x}=\dfrac{(\sin^2x)^2\sin x}{\cos^2x}$

Applying the two latter identities, we get

$\dfrac{\left(\frac{1-\cos2x}2\right)^2\sin x}{\frac{1+\cos2x}2}=\dfrac{\frac{1-2\cos2x+\cos^22x}4\sin x}{\frac{1+\cos2x}2}=\dfrac{(1-2\cos2x+\cos^22x)\sin x}{2(1+\cos2x)}$

We can apply the third identity again:

$\dfrac{(1-2\cos2x+\cos^22x)\sin x}{2(1+\cos2x)}=\dfrac{\left(1-2\cos2x+\frac{1+\cos4x}2\right)\sin x}{2(1+\cos2x)}=\dfrac{(3-4\cos2x+\cos4x)\sin x}{4(1+\cos2x)}$

and this is probably as far as you have to go, but by no means is it the only possible solution.

8 0

3 years ago

A watercolor painting is 15inches long by 9 inches wide. Ramon makes a border around the watercolor painting by making a mat tha

lakkis [162]

Answer:

81 in

Step-by-step explanation:

The watercolor painting area:

width x length = the formula for the area of a rectangle.

9 x 15= 135

The mat area:

15 + 3= 18

9 + 3= 12

12 x 18 = 216

5 0

3 years ago

What is the unit rate for $15 for 4 quarts

Ksju [112]

The answer is $3.75.

6 0

3 years ago

What is the length of side PQ in this figure?

anygoal [31]

Answer:

c. 52

Step-by-step explanation:

since that triangle QRE is a right angle triangle

therefore QE = root 5²_3² = 4 cm " pythagorean "

since triangle PQE is a right angle triangle

therefore PQ= root 4²+6²= 2 root 13 = root 52

8 0

3 years ago