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2 years ago

Find the area. Simplify your answer.

Mathematics

1 answer:

Galina-37 [17]2 years ago

6 0

Answer:

This is a triangle with the height 3x and the base 4.

So the area is A= 1/2 * height* base

A= 1/2 * 3x* 4= 6x

The answer is 6x

Step-by-step explanation:

Hope that userful for you.

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Convert the Cartesian equation (x 2 + y 2)2 = 4(x 2 - y 2) to a polar equation.

SashulF [63]

ANSWER

${r}^{2} = 4 \cos2\theta$

EXPLANATION

The Cartesian equation is

${( {x}^{2} + {y}^{2} )}^{2} = 4( {x}^{2} - {y}^{2} )$

We substitute

$x = r \cos( \theta)$

$y = r \sin( \theta)$

and

${x}^{2} + {y}^{2} = {r}^{2}$

This implies that

${( {r}^{2} )}^{2} = 4(( { r \cos\theta) }^{2} - {(r \sin\theta) }^{2} )$

Let us evaluate the exponents to get:

${r}^{4} = 4({ {r}^{2} \cos^{2}\theta } - {r}^{2} \sin^{2}\theta)$

Factor the RHS to get:

${r}^{4} = 4{r}^{2} ({ \cos^{2}\theta } - \sin^{2}\theta)$

Divide through by r²

${r}^{2} = 4 ({ \cos^{2}\theta } - \sin^{2}\theta)$

Apply the double angle identity

$\cos^{2}\theta -\sin^{2}\theta= \cos(2 \theta)$

The polar equation then becomes:

${r}^{2} = 4 \cos2\theta$

7 0

3 years ago

What is the degree of the monomial? a. 6x2 b. −x3y3 c. 7x

sergiy2304 [10]

Answer:

a. 2

b. 6

c. 1

Step-by-step explanation:

The degree is the highest exponent on the variable in an expression

a. 2

b. 6

Both x and y have exponents of 3. To determine the degree, add the exponents together. 3+3=6

c. 1

When no exponent is present on the variable, it is always 1.

5 0

3 years ago

Could anyone answer this please

Ksivusya [100]

Answer:

30-60-90 triangle rule

x=16

Step-by-step explanation:

8 = given

8 $\sqrt{3}$ = y

8*2= 16 = x

(2x)

5 0

3 years ago

Slope between( 8,-1) (-7,4)

MrRa [10]

M= y2-y1?x2-x1
m=4-(-1)/(-7)-8
m=5/-15
m=-3
The slope is -3

4 0

2 years ago

Read 2 more answers

George has 1,702 oranges in his storeroom. He

Andrei [34K]

Answer:

11 in each box with 30 left over

Step-by-step explanation:

1702/152: 11.1973684211

about 11 in each box

11 x 152 = 1672

1702 - 1672 = 30

11 in each box with 30 left over

7 0

3 years ago