Use the distributive property to rewrite each expression in its equivalent form. -2×(3y + 9)

Answer:

5

Step-by-step explanation:

Given:

The figure of a polygon.

To find:

The area of the polygon.

Solution:

Area of a triangle is

[tex]Area=\dfrac{1}{2}\times Base\times Height[/tex]

Area of trapezoid is

[tex]Area=\dfrac{1}{2}(a+b)h[/tex]

Where, a, b are bases and h is the height.

The area of the triangle with base 6 cm and height 8 cm is

[tex]A_1=\dfrac{1}{2}\times 6\times 8[/tex]

[tex]A_1=24[/tex]

Height of the trapezoid is [tex]13-8=5\ \text{cm}[/tex] and the bases are 6 cm, 12 cm. So, the area of the trapezoid is

[tex]A_2=\dfrac{1}{2}(6+12)(5)[/tex]

[tex]A_2=\dfrac{1}{2}(18)(5)[/tex]

[tex]A_2=(9)(5)[/tex]

[tex]A_2=45[/tex]

Now, the total area of the polygon is

[tex]A=A_1+A_2[/tex]

[tex]A=24+45[/tex]

[tex]A=69[/tex]

Therefore, the area of the polygon is 69 sq. cm.

Answer:

6

Step-by-step explanation:

It goes up 6 and 1 across 6/1 = 6

Answer: 6

Step-by-step explanation:

The easiest way to find slope is by [rise/run] or literally the y value over the x value. In this way, you need to find two points that are on the intersections of the gridlines, then count the units in between

---------------------------------------------------------------------------

(-8, 4) (-9, -2)

 Rise/run

= 6/1

= 6

Hope this helps!! :)

Please let me know if you have any questions

Answer:

A

B

C

D

E

Step-by-step explanation:

You need 180 or 360 degrees to make a Cyclic Quadrilateral.

So, if you add all of the expressions. You get 360.

Hopefully, you get it right!

Answer:

The answer is A.

Step-by-step explanation:

Answer:

10 parts red paint

Step-by-step explanation:

she doubled the amount of yellow paint in the can at home, so you will need to add twice the amount of red paint. 7×2=14, 14-4= 10.

Answer:

787197

Step-by-step explanation:

YOU: yay its correct, this is the best answer ever.

ME: ya it is.

Answer:

-3g-24

Step-by-step explanation:

4(g-6)-7g

= 4g-24-7g

= -3g-24

Answer:

Its 2 to 1. I just took the quizz!!!

Step-by-step explanation:

The ratio of fish to birds in the local pet shop is 2:1.

"Equivalent ratios are those that can be simplified or reduced to the same value. In other words, two ratios are considered equivalent if one can be expressed as a multiple of the other".

For the given situation,

Total number of pets in local pet shop = 42

Number of fish = 28, Then

Number of birds = [tex]42-28[/tex]

⇒ [tex]14[/tex]

Thus ratio of pets to fish = [tex]28:14[/tex]

Simplify the ratio to the smallest fraction

Dividing 14 on both sides,

⇒ [tex]2:1[/tex]

Hence we can conclude that the ratio of fish to birds in the local pet shop is 2:1.

Learn more about the equivalent ratios here

https://brainly.com/question/18074939

#SPJ2

Answer:

guy above me is wrigth. If you have any doubts see the picture.

Step-by-step explanation:

Hope it helps and mark as brailiest pleasee

9514 1404 393

Answer:

  a)  x = ±5

  b)  x = ±√11 ≈ ±3.317

Step-by-step explanation:

Since we want x for some function value, it is convenient to determine the inverse function.

  x = g(y)

  x = y^2 -5

  x +5 = y^2

  y = ±√(x +5)

__

a) x = ±√(20 +5) = ±5

b) x = ±√(6 +5) = ±√11 ≈ ±3.317

A = 119.4in^2

hope it's helpful ❤❤❤❤

THANK YOU.

answer:there is no picture

Answer:

50°

Step-by-step explanation:

65+65+<z = 180

130+ <z = 180

<z = 50°

Answer:

5 * 10^-5 W

1.23 * 10^-2 J

Step-by-step explanation:

Given that :

Area = 5 * 10^-5 m²

Threshold of Pain = Intensity = 1.00 W/m2

Using the relation:

Intensity = power / Area

Hence,

Power = Intensity * Area

Power = 1 W/m² * 5 * 10^-5 m²

Power = 5 * 10^-5 W

Energy transferred to eardrum. Exposed for 4.10 minutes :

Using the relation :

Energy = Power * time

Energy = 5 * 10^-5 * (4.10 * 60 seconds)

Energy = 5 * 10^-5 W * 246 s

Energy = 0.0123

= 1.23 * 10^-2 J

Answer:

5

Step-by-step explanation:

This is a right angle which means it is equal to 90. The angle is separated into two parts as shown - the sum of these two parts is equal to 90.

Calculations:

9y - 6 + 51 = 90

9y + 45 = 90

9y = 45

y = 5

Answer:

x = -2 and y = 2

Step-by-step explanation:

The given equations are :

-5x-2y=6 ...(1)

3x+6y=6 ...(2)

Multiply equation (1) by 3. SO,

-15x-6y=18 ...(3)

Adding equation (2) and (3).

3x+6y-15x-6y = 6+18

-12x = 24

x = -2

Put the value of x in equation (1).

-5(-2)-2y=6

10-2y=6

4=2y

y = 2

So, the value of x is -2 and y is 2.

Answer:

11

Step-by-step explanation:

33÷3= 11

11 shows every month

Answer:

The solutions are x = -7 and x = -9

Step-by-step explanation:

All absolute values are non-negative numbers, so x + 8 will always be greater than 0. This means that |x + 8| = 1 can be represented as x + 8 = 1 AND x + 8 = -1.

x + 8 = 1 ⇒ x = -7

x + 8 = -1 ⇒ x = -9

So the solutions are x equals -7 or -9.

=====================================================

Explanation:

We can rewrite x^3y^2 into x*x^2*y^2

We can rewrite xy^5 into x*y^2*y^3

Note how x*x^2*y^2 and x*y^2*y^3 both have an x in common. So that means x is part of the GCF.

Similarly, x*x^2*y^2 and x*y^2*y^3 have y^2 in common as well.

Overall, both original expressions contain x and y^2 which leads to the overall GCF being xy^2

Answer:

12

Step-by-step explanation:

0 + 1 + 2 + 3+ 4 + 5 + 6 + 7 +8 + 9 + 10 + 11 seems to equal 66. That means there are 11 + 1 = 12 people (don’t forget to count the person who shakes 0 hands)

Answer:

the percentage of the sales price that is their commission is 5 %.

Step-by-step explanation:

Given;

price of the car, P = $18,250

commission, = $912.5

Let the percentage of the sales price that is their commission = y%

The percentage of the sales price that is their commission is calculated as;

[tex]\frac{y}{100} \times 18,250 = 912.5\\\\18,250y = 91250\\\\y = \frac{91250}{18250} \\\\y = 5 \ \%[/tex]

Therefore, the percentage of the sales price that is their commission is 5 %.

Answer:

-2, 0, and 2

Step-by-step explanation:

For x=0:

2(0) -2

0-2

-2

For x=1:

2(1)-2

2-2

0

For x=2:

2(2)-2

4-2

2

Answer:

its -1, 0, 2

Step-by-step explanation:

Answer:

56 dollars are earned for recycling 28 pounds of copper.

Step-by-step explanation:

Quantity of copper recycled = [tex]p[/tex] pounds

Amount earned in dollars for recycling [tex]p[/tex] pounds of copper = [tex]2p[/tex]

Also,

Quantity of copper recycled = [tex]28[/tex] pounds

Therefore,

Amount earned in dollars for recycling [tex]28[/tex] pounds of copper = [tex]2(28)=56[/tex] dollars

So,

56 dollars are earned for recycling 28 pounds of copper.

Answer: -260

Step-by-step explanation:

Answer:

-260

Step-by-step explanation:

First, we have to distribute -10 to 32 and -6, since 32 - 6 is in parentheses.

So, the expression becomes -320 + 60, because -10 × 32 = -320 and -10 × -6 = 60.

So, -320 + 60 = -260

Answer:

[tex]\displaystyle m=\frac{-1}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (3, 7)

Point (9, 5)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

d. x≤2

Step-by-step explanation:

Answer:

Answer:

your answer is correct

Step-by-step explanation:

if you were to fold that it would make a rectangular prism.

Answer:

It's the first one trust me I got the question wrong when i chose what you select.

Step-by-step explanation:

I took the quiz on k12 lesson name is 4.01 quiz nets of three-dimensional figures