Which expression is equivalent to 12a⁻⁴ b³c⁸/3a⁻² b⁹c⁻²
for all values of a, b, and c where the expression is defined?

Answer:

third choice, 5(x+2y-3)

Step-by-step explanation:

multiply every item in the parentheses by 5.

5x+10y-15= 5(x+2y-3)

Need 20 characters at least, lol

Answer:

This is easy. to get t to its simplest form, you simply divide it to get the answer, so.....

Step-by-step explanation:

61.25 is your answer.

Answer:

A. no

B. no

C. yes

D. yes

Step-by-step explanation:

ik it's true because, 35X2/3= 23 1/3, not 20.

26X2/3= 17 1/3, not 18 1/3.

48X2/3=32 and 22X2/3= 14 2/3.

Answer:

The answer would be C and D

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

3 (2x - 5) = 21

=> 6x - 15 = 21

=> 6x = 21 + 15

=> 6x = 36

=> x = 36 / 6

=> x = 6

OR

3 (2x - 5) = 21

=> 2x - 5 = 21 / 3

=> 2x - 5 = 7

=> 2x = 7 + 5

=> 2x = 12

=> x = 12 / 2

=> x = 6

Hope it helps :)

Please mark my answer as the brainliest

Answer:

3

Step-by-step explanation:

The area of a triangle = 1/2 x base x height

The base here is 2 and the height is 3.

2 x 3 = 6

1/2 x 6 = 3

Answer:

3

Step-by-step explanation:

To find the area of a triangle you have to do 1/2 bh (one half times the base times the height). So when you do 3 x 2 (Since those are the side lengths) you would get 6 then divide by 2 to get 3.

Hope this helps :)

Answer:

4 is the answer. My previous answer got deleted.

2 x 4 divided by 2 = 4

Step-by-step explanation:

Answer: 20% off means that the new price of the shoes will be 80% of the original price:

$30(100%  – 20%) = $30(80%)

Converting the percent to a decimal gives:

$30(0.8) = $24.00

There is an additional 15% off the sale price of $24.00, so the final price is 85% of the sale price:

$24(100%  – 15%) = $24(85%)

Again converting the percent to a decimal gives:

$24(0.85) = $20.40

Step-by-step explanation:

Answer:

$200

Step-by-step explanation:

Answer:

The rectangle is the only one.

Step-by-step explanation:

Step-by-step explanation:

3 and 4.

because the sum of the smaller two sides of a triangle have to be less than or equal to the 3rd larger side.

Answer:

Yes, it is a solution.

Step-by-step explanation:

Since t ≥ 12 means that t needs to be equal to or greater than 12, t = 12 works as a solution because it is equal to 12.

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

Explanation:

We'll need to use the circumference formula

C = 2*pi*r

to find the value of the radius r when C = 44

So we get

C = 2*pi*r

44 = 2*3.14*r

44 = 6.28*r

6.28r = 44

r = 44/6.28

r = 7.0063694267516

which is approximate

Then we use this value of r to find the area we need

A = pi*r^2

A = 3.14*(7.0063694267516)^2

A = 154.140127388536

A = 154

The area of the circular placemat is approximately 154 square inches.

Answer:

a ~ 154

a = [tex]\frac{484}{(pi)}[/tex]

Step-by-step explanation:

1. Approach

In this problem, one is given the circumference, the distance around the circle, one must find the area. In order to find the area, one must know the radius of the circle. To find the radius, one has to backsolve from the given circumference, then substitute the derived value into the formula for the area and solve.

2. Find the radius

The formula to find the circumference of a circle is;

[tex]2r(pi)=c[/tex]

Where (r) is the radius, (pi) is (3.1415), and (c) is the circumference.

Substitute in the given values and solve;

[tex]2r(pi) = c\\2r(pi) = 44\\r=\frac{44}{2(pi)}\\r=\frac{22}{(pi)}[/tex]

3. Find the area

Now, one has the value of the radius, substitute it into the formula for the area of a circle and solve;

The formula for finding the area of a circle;

[tex](pi)r^{2}=a[/tex]

Where (pi) is (3.1415), (r) is the radius, and (a) is the area,

Substitute in the value and solve.

[tex](pi)r^{2} = a\\(pi)(\frac{22}{(pi)})^{2}=a\\\frac{(22)^{2}}{(pi)}=a\\\frac{484}{(pi)}=a[/tex]

a ~ 154

Answer1.19 pounds per Dollar

Step-by-step explanation:

its just 25/21

Answer:

3.5 feet.

Step-by-step explanation:

r=C/2π

r=22/2π

r=22/6.28

r≈3.5

Answer:

Y e s

Step-by-step explanation:

Please, don´t pay me atention, i need points

Answer:

y=1 and x=1

Step-by-step explanation:

they are just variables they don't mean anything because any number multiplied by 1 is that same number

EX: 57 x 1 = 57

21 x 1 = 21

hope that helped you!

Answer:

8 mph

Step-by-step explanation:

The shape of the image of ΔABC following a dilation by a scale factor of [tex]\dfrac{2}{3}[/tex] is the same as the shape of ΔABC but the sizes of the sides of ΔA'B'C' are [tex]\dfrac{2}{3}[/tex] smaller

The correct options with regards the given statements are;

Reasons:

The dilation lengths of the sides of ΔABC are AB, AC, BC

The given scale factor of dilation = [tex]\dfrac{2}{3}[/tex]

Therefore;

The lengths of the sides of ΔA'B'C' are [tex]\dfrac{2}{3} \cdot \overline {A'B'}[/tex], [tex]\dfrac{2}{3} \cdot \overline {A'C'}[/tex], [tex]\dfrac{2}{3} \cdot \overline {B'C'}[/tex]

Which gives;

[tex]\dfrac{\overline{A'B'}}{\overline{AB}}} = \dfrac{\overline{A'C'}}{\overline{AC}}} = \dfrac{\overline{B'C'}}{\overline{BC}}} = \dfrac{2}{3}[/tex]

Given that the ratio of the corresponding sides of ΔABC and ΔA'B'C' are equal, ΔABC is similar to ΔA'B'C' by triangle similarity theorem

Therefore;

∠A = ∠A', ∠B = ∠B', and ∠C = ∠C' by definition of triangle similarity

Which gives;

The statement; The measure of ∠B and ∠B' are equal is True

Second part;

The center of dilation of ΔABC is point A, therefore, the distance between point A and point A' following a dilation is zero

Therefore, given that there is no difference, we have;

The coordinates of point A = The coordinates of point A'

Therefore;

The statement, the coordinates of A and A' are the same is True

Learn more here:

https://brainly.com/question/2584916

Answer:

False

True

Step-by-step explanation:

A dilation multiplies the distance of every point from the center of dilation by the scale factor. So a dilation moves every point except the center of dilation.

Point A is the center of dilation, so the coordinates of A and A′, are the same.

Dilations multiply every length in the figure by the scale factor, so AB and A'B' do not have the same length.

Answer:

15.7 feet I hope that helped!

Answer:

B

Step-by-step explanation:

the line plot has an X to represent the amount of times the piece of data occurred I counted 2 x's

Answer:

The area is 9 square units.

Step-by-step explanation:

The diagram shows that the square is 3x3 which means that the area is 9.

Answer:

b

Step-by-step explanation:

When finding the constant of proportionality, divide the +/- from "y", divided by the +/- from x.

Answer:

A student who has many absences has a decrease in grades. As weather gets colder, air conditioning costs decrease. If a train increases speed, the length of time to get to the final point decreases. If a chicken increases in age, the amount of eggs it produces decreases.

Answer:

4 hours, for $60

Step-by-step explanation:

10 x 4 = 40 + 20 = 60

15 x 4 = 60