Triangle ABC was dilated using the rule DO,4. Triangle A'B'C' is the result of the dilation.

Point O is the center of dilation. Triangle A B C is dilated to create triangle A prime B prime C prime. The length of O B is three-fourths.

What is OB'?

1.5 units
3 units
4.5 units
6 units

Answer:

G. (8,6)

Step-by-step explanation:

remember that EF is four times the length of DE

so the distance between E and D multiplied by 4 should equal F

Answ

Step-by-step explanation:

Answer:

A, B, D, F

Step-by-step explanation:

Given expression: [tex]8^{\frac23}[/tex]

Apply exponent rule [tex]a^{bc}=(a^b)^c[/tex]

[tex]\implies 8^{\frac23}=(8^2)^{\frac13}[/tex]

Apply exponent rule [tex]a^{\frac{1}{n}}=\sqrt[n]{a}[/tex]

[tex]\implies (8^2)^{\frac13}=\sqrt[3]{8^2}[/tex]

Therefore, option A

Apply exponent rule [tex]a^{bc}=(a^b)^c[/tex]

[tex]\implies 8^{\frac23}=(8^{\frac13})^2[/tex]

Apply exponent rule [tex]a^{\frac{1}{n}}=\sqrt[n]{a}[/tex]

[tex]\implies (8^{\frac13})^2=(\sqrt[3]{8})^2[/tex]

Therefore, option B

Apply exponent rule [tex]a^{bc}=(a^b)^c[/tex]

[tex]\implies 8^{\frac23}=(8^{\frac13})^2[/tex]

As [tex]8^{\frac13}=2[/tex]

[tex]\implies (8^{\frac13})^2=2^2[/tex]

Therefore, option D

Apply exponent rule [tex]a^{bc}=(a^b)^c[/tex]

[tex]\implies 8^{\frac23}=(8^{\frac13})^2[/tex]

As [tex]8^{\frac13}=2[/tex]

[tex]\implies (8^{\frac13})^2=2^2[/tex]

[tex]\implies 2^2=4[/tex]

Therefore, option F

Answer:

Step-by-step explanation:

Given that, The length of a rectangle is 3 m more than twice the width, and the area of the rectangle is 54 m²

Let's assume width of rectangle be x m and length be 3 + 2x m respectively. To find the dimensions of the rectangle we will use the formula of Perimeter of rectangle

[tex] \\ { \underline{ \boxed{ \pmb{ \sf{ \purple{Area _{(rectangle)} = Length × width}}}}}} \\ \\ [/tex]

Substituting values in above formula:

[tex] \\ \dashrightarrow \sf \: \: (3 + 2x)(x) = 54 \\[/tex]

[tex]\dashrightarrow \sf \: \: 3x + 2x^2 = 54 \\ [/tex]

[tex]\dashrightarrow \sf \: \: - 54 + 3x + 2x^2 = 0 \\ [/tex]

[tex]\dashrightarrow \sf \: \: 2x^2 + 3x - 54 = 0\\ [/tex]

[tex]\dashrightarrow \sf \: \: 2x^2 + 12x - 9x - 54 = 0\: [/tex]

[tex]\dashrightarrow \sf \: \: 2x(x + 6) -9(x + 6) = 0\\ [/tex]

[tex]\dashrightarrow \sf \: \: (2x -9)(x+6) = 0 \\ [/tex]

[tex]\sf{x=}{\sf{\dfrac{9}{2}}}{\sf{\: or\: -6}} [/tex]

[tex]\dashrightarrow \: \: { \underline{ \boxed{ \pmb{ \sf{\purple{ x = 4.5 }}}}}}[/tex]

Hence,

[tex] \\ { \underline{ \pmb{ \frak{ \therefore Length \: and \: width \: of \: the \: rectangle \: is \:12 \: m \: and \: 4.5 \: m}}}} \\ [/tex]

Answer:

Step-by-step explanation:

Given :-

To find :-

Solution:-

According to the question ,

Let the width of rectangle be x and length of rectangle be 2x+3 m

Area of rectangle :- L×B

L×B = 54m²

(2x+3) * x = 54m²

x = 4.5 m

By putting the value of x , we get

Length :- 2x+3 = 12 m

Width :- 4.5 m

Answer:

Answer is 1

Step-by-step explanation: 6-1= 5        5x0=0       0+2=2      2 divided by 2 is= 1

The number of stickers John and Ken have in the end is 6 and 18 respectively.

let

New stickers

x + x - 12 = 3x + 5x

2x - 12 = 8x

-12 = 8x - 6x

-12 = -2x

x = 12/2

x = 6

So,

Ken stickers = x

= 6 stickers

John stickers = 3x

= 3 × 6

= 12 stickers

Learn more about equation:

https://brainly.com/question/1214333

Answer:

The surface area of what

pls try to send the image.

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve for x ~

[tex]\qquad \sf  \dashrightarrow \:12 {x}^{2} - 36x = 0[/tex]

[tex]\qquad \sf  \dashrightarrow \:12 x({x}^{} - 3) = 0[/tex]

[tex]\qquad \sf  \dashrightarrow \:12x = 0 \: \: or \: \: x - 3 = 0[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 0 \: \: or \: \: x = 3[/tex]

Therefore, the possible values of x are 0 and 3

16 + 32 = 16 x 1 + 16 x 2 = 16 x (1 + 2)

Answer:

yes, a flag is created by sewing it together

Answer:

C. To square a number, multiply the number by itself.

Answer:

[C] To square a number, multiply the number by itself.

Step-by-step explanation:

To square a number you multiply it by itself.

Let's go through all answer:

[A] A perfect square is a number whose square root is, an even number.

Explain for [A]:

It incorrect because perfect squares can be odd or even

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[B] The inverse of squaring a number is to divide the number by 2.

Explain for [B]:

It incorrect because square roots are made by multiplying the number to itself.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[D] All of the above

Explain for [D]

Know that [A] and [B] is wrong you can know that [D] is 100% wrong.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Lenvy~

Answer:

x=3,2

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Answer:

Step-by-step explanation:

Sum = coefficient of x = -5

Product = constant * coefficient of x² = 1 * 6 = 6

Factors = (-2) , (-3)

When we multiply, (-2)*(-3) we get = +6 and we add (-2) + (-3) = -5

Using this factors rewrite the middle terms

x² - 5x + 6 = 0

x² - 3x - 2x + (-2)*(-3) = 0

x(x - 3) - 2(x - 3) = 0

(x - 3)(x-2)=0

x - 3 = 0          ; x -2 =0

   x = 3            ; x = 2

Solution: x = 2 , 3

Answer:

The x side is multiplying four each time to get the y side example 2x4=8 and so on

The equation would be x x 4= y

So hope this helps

The equation that represents the proportional relationship from the table is y=4x.

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".

The given table is

x     y

2    8

3    12

7    28

Here, we can see when x increases y value also increases.

So, x and y are directly varies

Now, y∝x

y=kx -----(i)

k=y/x

k=8/2

k=4

Substitute k=4 in equation (i), we get

y=4x

Therefore, the equation that represents the proportional relationship from the table is y=4x.

To learn more about the proportional relationship visit:

brainly.com/question/12917806.

#SPJ2

Answer:

x = 3, 2

Explanation:

⇒ x² - 5(x) + 6 = 0

breakdown

⇒ x² - 3(x) - 2(x) + 6 = 0

takeout common terms

⇒ x(x - 3) - 2(x - 3) = 0

factor

⇒ (x-3) ( x-2) = 0

simplify

⇒ (x-3)=0, ( x-2) = 0

final answer

⇒ x = 3, 2

Answer:

TRue

Step-by-step explanation:

Answer:

-3,5

Step-by-step explanation:

[tex]d = \sqrt{(x _{2} - x _1) {}^{2} + (y _{2} - y _{1} {} ) {}^{2} } [/tex]

[tex]5 = \sqrt{(x - 1) {}^{2} + ( - 1 - 2) {}^{2} } [/tex]

[tex]5 = \sqrt{(x - 1) {}^{2} + ( - 3) {}^{2} } [/tex]

[tex]25 = (x - 1) {}^{2} + 9[/tex]

[tex]16 = (x - 1) {}^{2} [/tex]

[tex]4 = x - 1[/tex]

[tex]x = 5[/tex]

Or

[tex] - 4 = x - 1[/tex]

[tex]x = - 3[/tex]

Answer:

b i think because 50 minus 9.99 then 1.29 will be less than cuz it cant go over

You will need to use the small cup 9 times or the larger cup 2 times.

The volume of the sink is 700 in^3

The smaller cup is a cylinder with a diameter of 4 in and a height of 8 in, its volume is:

V = 3.14*(4in/2)^2*8in = 100.48 in^3

To remove all the water in the sink you will need:

N = 700 in^3/100.48 in^3 = 6.97 = 7

You will need to scoop the water 7 times.

For the larger cup, the diameter of 8 in and a height of 8 in, its volume is:

V' = 3.14*(8in/2)^2*8in = 401.92 in^3

You will need to scoop the water:

N' = 700 in^3/401.92 in^3 = 2 times.

If you want to learn more about volumes, you can read:

https://brainly.com/question/1972490

Answer:

D. (3p + 25) = q

Answer:

Exact: [tex]4\sqrt{55}[/tex] m

Approximate: 29.7 m

Step-by-step explanation:

[tex]a^2+b^2=c^2[/tex]

[tex]9^2+b^2=(31\sqrt{5} )^2[/tex]

[tex]81+b^2=31^2(5)[/tex]

[tex]b^2=961-81[/tex]

[tex]b=\sqrt{880} =4\sqrt{55}[/tex]

[tex]4\sqrt{55}[/tex] ≈ 29.7 m

Hope this helps!

The exponential equation that correctly models the ball's peak height, h, in meters, after b bounces is given by:

[tex]H(b) = 4(0.79)^b[/tex]

A decaying exponential function is modeled by:

[tex]A(t) = A(0)(1 - r)^t[/tex]

In which:

In this problem:

Thus, the equation is given by:

[tex]H(b) = 4(0.79)^b[/tex]

More can be learned about exponential equations at https://brainly.com/question/25537936

Answer:

c = 12.1 cm

Step-by-step explanation:

For this question, use the Pythagorean theorem.

a^2 + b^2 = c^2

Where a and b are the triangle's legs, and c is the hypotenuse.

(It doesn't matter what values you use for each for a and b)

a = 5 cm

b = 11 cm

c = ?

5^2 + 11^2 = c^2

25 + 121 = c^2

146 = c^2

square root both sides

√146 = √c^2

c = 12.08304 cm

But we need to the neasrest tenth then....

c = 12.1 cm

Answer:

x=39/16

Step-by-step explanation:

I looked it up. Here's the source's explanation;
[tex]f(x)=(1/2)^x+1[/tex]
[tex]g(x)=log(x-1)+1[/tex]

[tex]f(x)=g(x)[/tex]
[tex](1/2)^x +1=log(x-1)+1[/tex]
[tex](1/2)^x=log(x-1)[/tex]
2^(-x)=log (x-1)
x=2.5018
x=39/16

Answer:

41/16

Step-by-step explanation:

took the text and got 100, good luck besties

Based on the rate at which all three computers process bills, the time taken for the computers to process 1,780 bills is 4 minutes.

First find the number of bills left when the third computer joined:

= 1,780 - (160 x 1.5 mins) - (160 x 1.5 mins)

= 1,300

Then the average speed of all three computers is:

= 160 + 160 + 200

= 520 bills per minute

The time taken to finish up the other bills would be:

= 1,300 / 520

= 2.5 minutes

Add this to the minutes already elapsed before the third computer was used:

= 2.5 + 1.5

= 4 minutes

Find out more on rate of work at https://brainly.com/question/24482367.

Step-by-step explanation:

The y-intercept of the function is: b=10

Step-by-step explanation:

Given the table

x                 y

1                 8

2                6

3                4

4                2

Taking any two points to find the slope

(1, 8)

(2, 6)

The slope between (1, 8) and (2, 6) is:

We know that the slope-intercept form of the line equation is

where m is the slope and b is the y-intercept.

Substituting m=-2 and any point i.e. (1, 8) in the slope-intercept form of the line equation to find the y-intercept (b).

8 = -2(1) + b

8 = -2 + b

b = 8+2

b = 10

Thus, the y-intercept of the function is: b=10

Answer:

Cartesian product

Step-by-step explanation:

The Cartesian product of two sets, X and Y, denoted by X × Y, is the set of all ordered pairs (x, y), where x is an element of X and y is an element of Y: 8 (2.4.1) X × Y = { (x, y) ∣ x ∈ X ∧ y ∈ Y } For example, if Children = { Peter, Mark, Mary }, and Parents = { Paul, Jane, Mark, Mary }, then