If circumference of a circle was12.56cm find radios

Solve for y in terms of x: 3x = 15-5y Helppp

inysia [295]

5y=15-3x
y=3-3/5x
hope it helps:):)

4 0

3 years ago

Read 2 more answers

What is the equation of log x 729=3?

pishuonlain [190]

Answer:

Step-by-step explanation:

Move 729 to the left side of the equation by subtracting it from both sides. x 3 − 729 = 0 Factor the left side of the equation. Rewrite 729 as 9

3

. x

3

−

9

3

=

0

. Since both terms are perfect cubes, factor using the difference of cubes formula, a

3

−

b

3

=

(

a

−

b

)

(

a

2+ab+b2). Where a

=x and b=9. (x−9)(x2+x⋅9+92)=0

. Simplify. Move 9 to the left of x

. (x−9)(x2+9x+92)=0. Raise 9 to the power of 2

. (x

−9

)(

x

2

+

9

x

+81

)=0

. Set x

−9 equal to 0 and solve for x. Set the factor equal to 0. x−

9=

0. Add 9 to both sides of the equation. x=9

. Set x2+

9

x

+

81 equal to 0 and solve for x

. Set the factor equal to 0

. x2+9x+81=0. Use the quadratic formula to find the solutions. −b±√b2−4(ac) 2a. Substitute the values a=1, b=9, and c=81 into the quadratic formula and solve for x. −9±√92−4⋅ (1⋅81

) 2⋅

1 Simplify. Simplify the numerator. Raise 9 to the power of 2. x=−9±√81−4⋅(1⋅81) 2⋅1. Multiply

81

by

1

.

x

=

−

9

±

√

81

−

4

⋅

81

2

⋅

1

Multiply

−

4

by

81

.

x

=

−

9

±

√

81

−

324

2

⋅

1

Subtract

324

from

81

.

x

=

−

9

±

√

−

243

2

⋅

1

Rewrite

−

243

as

−

1

(

243

)

.

x

=

−

9

±

√

−

1

⋅

243

2

⋅

1

Rewrite

√

−

1

(

243

)

as

√

−

1

⋅

√

243

.

x

=

−

9

±

√

−

1

⋅

√

243

2

⋅

1

Rewrite

√

−

1

as

i

.

x

=

−

9

±

i

⋅

√

243

2

⋅

1

Rewrite

243

as

9

2

⋅

3

.

Tap for fewer steps...

Factor

81

out of

243

.

x

=

−

9

±

i

⋅

√

81

(

3

)

2

⋅

1

Rewrite

81

as

9

2

.

x

=

−

9

±

i

⋅

√

9

2

⋅

3

2

⋅

1

Pull terms out from under the radical.

x

=

−

9

±

i

⋅

(

9

√

3

)

2

⋅

1

Move

9

to the left of

i

.

x

=

−

9

±

9

i

√

3

2

⋅

1

Multiply

2

by

1

.

x

=

−

9

±

9

i

√

3

2

Factor

−

1

out of

−

9

±

9

i

√

3

.

x

=

−

1

9

±

9

i

√

3

2

Multiply

−

1

by

−

1

.

x

=

1

−

9

±

9

i

√

3

2

Multiply

−

9

±

9

i

√

3

by

1

.

x

=

−

9

±

9

i

√

3

2

The final answer is the combination of both solutions.

x

=

−

9

−

9

i

√

3

2

,

−

9

+

9

i

√

3

2

The solution is the result of

x

−

9

=

0

and

x

2

+

9

x

+

81

=

0

.

x

=

9

,

−

9

−

9

i

√

3

2

,

−

9

+

i

√

3

2

7 0

3 years ago

In the figure below, DBE is the result of a dilation of ABC with point B as the center of dilation. Which statement best uses th

lilavasa [31]

Answer: the 4

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

A carpenter is assigned the job of expanding a rectangular deck where the width is one-fourth the length. The length of the deck

leva [86]

Let the width be W, then the length is 4W (since the width is 1/4 the length)

The area of the original deck is $W*4W=4W^{2}$

The dimensions of the new deck are :

length = 4W+6
width=W+2

so the area of the new deck is :

$(4W+6)(W+2)= 4W^{2}+8W+6W+12= 4W^{2}+14W+12$

"the area of the new rectangular deck is 68 ft2 larger than the area of the original deck" means that we write the equation:

$4W^{2}+14W+12=68+4W^{2}$

$14W+12=68$

$14W=68-12=56$

$W= \frac{56}{14}= 4$

the length is $4W=4*4=16$ ft

Answer: width: 4, length: 16

3 0

3 years ago

Help me please solve the circled question show your work

Rasek [7]

Part 1) Use the fact that there are 12 inches in a foot

a) How many inches tall is a 7 foot basketball player?

we know that

1 foot=12 inches

so by proportion

$\frac{12}{1} \frac{inches}{foot} =\frac{x}{7} \frac{inches}{feet} \\ \\x=12*7\\ \\x=84\ inches$

therefore

the answer Part 1a) is

$84\ inches$

Part b) If a yard is a 3 feet long, how many inches are in a yard?

we know that

1 yard=3 feet

1 foot=12 inches

so

Convert 3 feet to inches

by proportion

$\frac{12}{1} \frac{inches}{foot} =\frac{x}{3} \frac{inches}{feet} \\ \\x=12*3\\ \\x=36\ inches$

therefore

the answer Part 1b) is

$36\ inches$

Part 2) At the farmer's market two pounds of peaches cost $4.20 How much will five pounds cost?

by proportion

$\frac{4.20}{2} \frac{\$}{pounds} =\frac{x}{5} \frac{\$}{pounds} \\ \\2*x=4.2*5\\ \\x=4.2*5/2=\$10.5$

therefore

the answer Part 2) is

$\$10.5$

Part 3) Janice mother gave her a ten dollars bill to buy five pounds each of bananas and apples at the grocery store. When she got there she found that bananas were 80 c per pound and apples were $1.40 per pound.

Did Janice's mother give her enough money? If so, should she receive any change? If not, how much more money does she need?

we know that

Find the cost of the bananas

$5\ pounds*0.80\frac{\$}{pounds}=\$4$