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3 years ago

7

A home has dimensions of 35 feet by 57 feet that include an attached 24-foot by 22-foot garage and a 200-square-foot screened po

rch. how many square feet of gross living area does the home have

1 answer:

tekilochka [14]3 years ago

8 0

35*57 = 1995
1995 - ((24*22)+200) = 1267
1267 is your answer.

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Solve each equation using inverse operations: 1. 9w = -54 2. b - 12 = 3 3. n/4 = -11

katovenus [111]

Hello!

Answer:

1. $\boxed{W=-6}$

*The answer must have A NEGATIVE SIGN ONLY!*

2. $\boxed{B=15}$

*The answer must have A POSITIVE SIGN ONLY!*

3. $\boxed{N=-44}$

*The answer must have a NEGATIVE SIGN ONLY!*

Step-by-step explanation:

1. 9w=-54

First, you divide by 9 both sides of an equation.

9w/9=-54/9

Simplify.

-54/9=-6

<u><em>W=-6 is the final answer.</em></u>

____________________________________

2. b-12=3

First you add by 12 both sides of an equation.

b-12+12=3+12

Add by the numbers from left/right.

3+12=15

<u><em>b=15 is the final answer.</em></u>

__________________________________________

3. n/4=-11

First you multiply by 4 both sides of an equation.

4n/4=4(-11)

Multiply by the numbers from left/right.

4*-11=-44

<u><em>n=-44 is the final answer.</em></u>

_____________________________

Hope this helps you!

Have a great day! :)

:D

-Charlie

Thanks!

3 0

3 years ago

I really don't get these questions

Mazyrski [523]

Answer:

B

Step-by-step explanation:

280 + 5(–5) + (–42) + 2(75) + (–200)

280 - 25 - 42 + 150 - 200

280 - 67 + 150 - 200

280 - 67 - 50

213 - 50

= $163

3 0

3 years ago

_____ compare one quantity to 100.

Alexxx [7]

Answer:

c

Step-by-step explanation:

6 0

3 years ago

leonid [27]

Answer:

The focus point is (2 , 0) ⇒ answer D

Step-by-step explanation:

* Lets revise the equation of the parabola in standard form

- The standard form is (x - h)² = 4p(y - k)

- The focus is (h, k + p)

- The directrix is y = k - p

- If the parabola is rotated so that its vertex is (h , k) and its axis of

symmetry is parallel to the x-axis, it has an equation of

(y - k)² = 4p(x - h)

- The focus is (h + p, k)

- The directrix is x = h - p

* Lets solve the problem

∵ The equation of the parabola is y = 1/8(x² - 4x - 12)

- Lets make x² - 4x completing square

∵ √x² = x

∴ The 1st term in the bracket is x

∵ 4x ÷ 2 = 2x

∴ The product of the 1st term and the 2nd term is 2x

∵ The 1st term is x

∴ the second term = 2x ÷ x = 2

∴ The bracket is (x - 2)²

∵ (x - 2)² = (x² - 4x + 4)

∴ To complete the square add 4 to the bracket and subtract 4 out

the bracket to keep the equation as it

∴ (x² - 4x + 4) - 4 = (x - 2)² - 4

- Lets put the equation after making the completing square

∴ y = 1/8 [(x - 2)² - 4 - 12]

∴ y = 1/8 [(x - 2)² - 16] ⇒ multiply both sides by 8

∴ 8y = (x - 2)² - 16 ⇒ add 16 to both sides

∴ 8y + 16 = (x - 2)² ⇒ take from the left side 8 as a common factor

∴ 8(y + 2) = (x - 2)²

∴ The standard form of the equation of the parabola is

(x - 2)² = 8(y + 2)

∵ The standard form of the equation is (x - h)² = 4p(y - k)

∴ h = 2 , k = -2 , 4p = 8

∵ The focus is (h , k + p)

∵ h = 2

∵ 4p = 8 ⇒ divide both sides by 4

∴ p = 2

∴ The focus = (2 , -2 + 2) = (2 , 0)

* The focus point is (2 , 0)

6 0

3 years ago

If the center of a circle is<br> (-5,8) and a point on the circle is (-5, -4) What is the radius?

Maslowich

Answer:

The radius is 12.

Step-by-step explanation:

You're given the center and a point on the circle. The point and the center both have an x-coordinate of -5, so there is no horizontal distance between them. The distance is only in the vertical direction. The distance from 8 to -4 is 12. Since this is the distance from the center to a point on the circle, this equals the radius.

3 0

3 years ago