Mathematics College

Write a rule that would dilate a figure from the origin by a scale factor of 4.* 1 point
Your answer
Write the coordinates of (-2, 8) after it is dilated from the origin by a scale
factor of 1/2.
(-2,8)
(2,8)
O (1.4)
O (4,-1)
Write the coordinates of the point (2, 3) after is has been reflected across
the y-axis.
O (2,3)
O (-2,3)
O (3,2)
(3, 3)
1 point
Your answer
1 point
State the scale factor to dilation from the origin point A (4, 3) to point A' (12, * 1 point
9).

Answers

Answer 1

The rule of dilation is (4x, 4y)

The coordinates of the image is (-1, 4) The coordinates of the image is (-2, 3) The scale factor is 3

The rule of dilation

From the question, we have the following parameters that can be used in our computation:

Scale factor = 4

This means that

Image = point * scale factor

So, we have

Image = (x, y) * 4

Evaluate

Image = (4x, 4y)

The coordinates of the image

Here, we have

Point = (-2, 8)

Scale factor = 1/2

So, we have

Image = (-2, 8) * 1/2

Image = (-1, 4)

The coordinates of the image

Here, we have

Point = (2, 3)

Transformation = reflected across the y-axis.

So, we have

Image = (-x, y)

Image = (-2, 3)

The scale factor

Here, we have

A (4, 3) to point A' (12, 9)

The scale factor is

Scale factor = A'/A

So, we have

Scale factor = (12, 9)/(4, 3)

Evaluate

Scale factor = 3

Hence, the scale factor is 3

Related Questions

Someone help me please I will mark brainiest.

Answers

The volume would be 200

2. Find the amount in an account where $500 is invested at 2.5% compounded continuously for a period of 10 years

Answers

Answer:

A = 642.01

Step-by-step explanation:

Given:

P = 500

r = 2.5% or 0.025

t = 10

Work:

[tex]A=Pe^{rt}\\\\A=500e^{0.025*10}\\\\A=500e^{0.25}\\\\A=642.01[/tex]

2. Which of the following is considered an
asset?
A Savings account
B Credit card debt
C Personal loan
D Mortgage

Answers

Answer:

Step-by-step explanation:

All of the rest you have to pay off. A savings account is a good place to keep money safe for the future, and you can also make interest.

The answer is A, the rest you have to pay for.

Which two integers is √123 between?

Answers

9514 1404 393

Answer:

11 and 12

Step-by-step explanation:

√123 ≈ 11.0905 lies between 11 and 12.

Since you're familiar with your squares, you know ...

11^2 = 121

12^2 = 144

123 lies between 121 and 144, so √123 lies between 11 and 12.

Junior's brother is 1 1/2
meters tall. Junior is 1 1/5
of his brother's height.
How tall is Junior?

Answers

Answer:

Step-by-step explanation:

1 1/5 of 1 1/2 meters

= (1+1/5) x (1+1/2)

= 1x1 + 1x1/2 + 1x1/5 + 1/5*1/2

= 1 + 1/2 + 1/5 + 1/10

= 1 + (1x5+1x2+1)/10

= 1 8/10

= 1 4/5 meters

Answer:

1 4/5 meters

Step-by-step explanation:

1 1/5 of 1 1/2 meters

= (1+1/5) x (1+1/2)

= 1x1 + 1x1/2 + 1x1/5 + 1/5*1/2

= 1 + 1/2 + 1/5 + 1/10

= 1 + (1x5+1x2+1)/10

= 1 8/10

= 1 4/5 meters

In a study conducted by the US department of Health and Human Services, a sample of 546 boys aged 6-11 was weighed, and it was determined that 87 of them were overweighted. A sample of 508 girls aged 6-11 was also weighed, and 74 of them were overweighted. (a) Find a 90% confidence level for the difference of overweight proportion for aged 6 -11 between boys and girls. (b) Can you conclude that the proportion of overweight boys is higher than the proportion of girls who are overweight? i. State hypothesis. ii. Compute P-value. iii. What is your conclusion?

Answers

Answer:

a) CI = ( - 0,0087 ; 0,0355)

b) No CI contains 0 meaning that statistically the proportions could be equal

Step-by-step explanation:

Boys Sample

Size sample n₁ = 546

x₁ = 87

proportion p₁ = 87/546 p₁ = 0,159 p₁ = 15,9 %

Girls sample

Size sample n₂ = 508

x₂ = 74

proportion p₂ = 74 / 508 p₂ = 0,1456 p₂ = 14,56 %

Hypothesis test:

Null hypothesis H₀ p₁ = p₂

Alternative Hypothesis Hₐ p₁ ≠ p₂

Confidence Interval CI = 90 % significance level α = 10 %

α = 0,1 and as the alñternative hypothesis indicates is a two-tail test

then α/2 = 0,05

z(score) for 0,05 is from z table z(c) = 1,64

Confidence Interval 90 % is:

CI = [( p₁ - p₂) ± z(c) * √ p*q * ( 1/n₁ + 1 / n₂ )

p = (x₁ + x₂ ) / n₁ + n₂

p = ( 87 + 74 ) / 546 + 508

p = 0,1527 then q = 1 - 0,1527 q = 0,8473

CI = 0,0134 ± √ 0,1527*0,8473 ( 1/546 + 1 / 508 )

CI = 0,0134 ± 0,0221

CI = ( - 0,0087 ; 0,0355)

CI contains 0 meaning that difference between the groups could be 0

Therefore we can conclude that proportion on both groups are different. We can´t reject H₀

We need to calculate z(s)

z(s) = [ p₁ - p₂ ] / √ p*q * ( 1/n₁ + 1 / n₂ )

p = (x₁ + x₂ ) / n₁ + n₂

p = ( 87 + 74 ) / 546 + 508

p = 0,1527 then q = 1 - 0,1527 q = 0,8473

z(s) = [ 0,159 - 0,1456] / √ 0,1527*0,8473 ( 1/546 + 1 / 508 )

z(s) = 0,0134/ √0,1294 ( 0,0018 + 0,00196 )

z(s) = 0,0134/ √0,1294 ( 0,0038)

z(s) = 0,0134/ 0,0221

z(s) = 0,61

p-value for z(s) = 0,61 p-value = 0,7291

p-value > 0,05

As p-value is bigger than 0,05 we have to accept H₀. We don´t have enough evidence to claim any difference between the two groups

I need this answer quick!

Answers

Answer:

Um we can’t see anything it’s just white

Step-by-step explanation:

Evan has $4,600 to deposit into two savings accounts.
• Evan will deposit $2,000 into Account I, which earns 5% interest, compounded annually.
• Evan will deposit $2,600 into Account II, which earns 4% annual simple interest.
In 3 years, which account will produce more interest, and by how much?

Answers

Answer:

The second one by 4 dollars

Step-by-step explanation:

Find the difference

Which pair of ratios is proportional?

A. 3 ft : 8 sec and 5 ft : 11 sec

B. 6 yd : 10 mi and 18 yd : 30 mi

C. 3:25 and 5:50

D. 6 in. : 8 min and 3 min : 2 in.

Answers

The answer is = d due to the proportional

How can I Write X^2 + 18 + 81 In factored form?

Answers

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Let's simplify step-by-step.

x ^ 2 + 18 + 81 <3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Combine Like Terms:

= x ^ 2 + 18 + 81

= ( x ^ 2 ) + ( 18 + 81 )

= x ^ 2 + 99

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

= x ^ 2 + 99

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

find the product
X5.X4.X3

Answers

Answer:

= X¹²

Step-by-step explanation:

According to law of indices

a^m * a^n = a^{m+n}

Hence;

X5.X4.X3

= X⁵⁺⁴⁺³

= X¹²

Note that all the powers are added since it is multiplication

plz help i will give brainliest plzzz

Answers

Answer:

3 more red marbles

Step-by-step explanation:

When you add up all of the marbles, there are 13 marbles.

The objective is to have the probability of selecting a blue marble from the bag to be 1/4. Since there are 4 blue marbles and 4 is 1/4th of 16, 16-13 is 3 so you add 3 more red marbles to have that chance.

I hope this helps!!!

Marsha will deposit $5,000 into an account for 10 years. What is the interest earned for 5%?

Answers

Answer:

$2,500

Step-by-step explanation:

I = Prt

Given:

P = 5000

r = 0.05

t = 10

Work:

I = Prt

I = (5000)(0.05)(10)

I = 250(10)

I = 2500

What type of angles are 4 and 5? Refer to the image attached pls

Answers

Answer:

alternate interior angles

Step-by-step explanation:

Answer:

alternate interior angles

PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: true

Explanation:

ANSWER ASAP THE RIGHT ANSWER GETS BRAINIEST!!!

Which graph shows a non-proportional tinear relationship between x and y
A
с
B
D

Answers

B since all the others are proportional

Raja solved the inequality –3x – 5 ≤ 1. His work is shown below. Where did Raja make an error in his calculation? Explain.

Answers

Answer:

Raja made an error in d equality sign in d answer

Step-by-step explanation:

-3x< or =6

when dividing both sides by -(negative)3, the sign 4 d answer changes

x > or = -2

Original price New price Calculation Converted to fraction over 100 % change
$20
$16
20 - 16
20
=
4
20
4 20
20 100
$20
$15

Answers

Answer:

1.20%

2.25%

Step-by-step explanation:

in 2.i converted to fraction over 100 and I've changed to percentage.I think that's what you needed hope it helps.

Drag the numbers to create three ratios that are equivalent to 4:12. Each number may be used once or not at all.

Answers

Answer: 20:60, 12:36, 2:6

Step-by-step explanation: All you need to do is look at the numbers and see which 3 are equivalent to 4:12.

can someone help me please

Answers

9514 1404 393

Answer:

1. 5000

2. the year is 2003

3. > 1000; evaluate the function

Step-by-step explanation:

1. The value of t is "years since 2005." In 2005, the value of t is zero. To find the model's prediction for 2005, substitute t=0.

p = 5000·2^0 = 5000·1

p = 5000 . . . . in 2005

2. When t=-2, it means you're concerned with the population 2 years before 2005. That is, you are modeling the population in 2003.

3. Evaluate the function for t=-2:

p = 5000·2^(-2) = 5000·1/4 = 1250

For t=-2, the fish population is 1250, which is more than 1000.

4 more than twice a number is less than the opposite of the number

Answers

Answer:

x=1

Step-by-step explanation:

2n+4<-n

2n+n+4<0

3n<-4

n<-4/3

0<2

6 divided by 1/4 ? Answer it please

Answers

Answer:

the correct answer 24 i looked it up

Suppose all the terms of a geometric sequence are
positive, and the common ratio r is between 0 and
1.
Is the sequence increasing of decreasing? Explain.

Answers

Answer: the sequence is increasing. The reason it is increasing because its atleaset increasing by one number.

Answer:

Step-by-step explanation:

How many square feet of wallpaper are required to cover the wall surrounding the window?

Answers

Answer:

between C and D

im going to say C to be safe tho

Answer: 131 ft^2

Step-by-step explanation:

the window is 77 ft and the wallpaper is 208 ft

so you subtract 77 from 208 and your answer will be 131.

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