A triangle with vertices at A(0,0), B(0,4), and C(6,0) is dilated to yield a triangle with vertices at A(0,0), B(0,10) and C(15,0). The origin is the center of dilation. What is the scale factor of the dilation?

A. 1.5
B. 2
C. 2.5
D. 3

Answers

Answer 1

Answer:

The scale of dilation is 2.5

Step-by-step explanation:

K · ( 0, 0 ) = ( 0 , 0 )

k · ( 0 , 4 ) = ( 0 , 10 )

k · ( 6, 0 ) = ( 15, 0 )

k = 15/6 = 10/4 = 2.5

The scale of dilation is 2.5


Related Questions

Can someone on help me 20 points!

Answers

Answer:

  7/8

Step-by-step explanation:

No probability numbers have been assigned to the branches, so there is insufficient information.

We note that "at least one head" includes all 7 branches above the last one (which is all tails). If the probabilities are all equal, then ...

  p(h > 0) = 7/8

Plot 4/7 on the number line

Answers

Answer:

0.57, which is a number between 0 and 1

Step-by-step explanation:

The fraction 4/7 is approximately equal to 0.57 as a decimal, so you would plot 4/7 where 0.57 should go

Answer:

Between 0 and 1

Step-by-step explanation:

How many solutions does 3x – 1 = 3x + 1 have?

Answers

There are no values of X that make that equation true.

No solution

This system 3x – 1 = 3x + 1 has no solution.

How to solve the given system of equations?

In order to determine the solution for the given system of equations, we would apply the substitution method. Based on the information provided above, we have the following system of equations:

y = 3x - 1      .......equation 1.

y = 3x + 1         .......equation 2.

By using the substitution method to substitute equation 2 into equation 1, we have the following:

3x - 1 = 3x + 1

3x - 3x = 1 + 1

0 = 2 (False).

Read more on equation here: https://brainly.com/question/31398664

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What is 1/5 expressed as a percent

Answers

20% - think of it like this, you have 100 as a full percentage, to help, bring it down to 10. Now, you just have to figure out what 10/5 is, and that’s 2, so now you know you’re looking at intervals of 2, but since your real number is 100, we add a zero to the 2, making it 20, and putting this into a percentage!!

Hope this helps!!

69 2/3 as a decimal ​

Answers

Answer:

Here you can find 69 2/3 as a decimal, along with useful information regarding 69 2/3 in decimal form. If you have been searching for 69 and 2 over 3 as a decimal, then you are right here, too. The terms used in this article about 69 2/3 as decimal are explained in detail on our home page; check it out if anything remains unclear. Read on to find the answer to the question what is 69 2/3 as a decimal, and make sure to have a look at our converter.

69 2/3 as a decimal = 69.(6)

Step-by-step explanation:

69.67

2/3 as a decimal is .6 repeating which I rounded

Hope it helps!

If one gallon of water is approximately 75,000 drops of water, how many gallons is 1 million drops of water

Answers

1000000/75000 = 13.33333...

Answer:

13

Step-by-step explanation:

13x75000=975000

Check for reasonableness...

975000/75000=13

So the answer is 13 gallons.

P.S. There will still be 25,000 drops left, which is 1/3 of a gallon.

Need help asap i will help u if u help me

Answers

Answer:

(14,5)

Step-by-step explanation

add 9 to 5 and add 4 to 1

hope this helps

Point Mis on line segment LN. Given LN = 9, MN. = 4x, and
LM = 5x, determine the numerical length of MN.

Answers

Answer: 4

Step-by-step explanation:

What is 3x + 2 + 4x - 1 after combining like terms

Answers

Answer:

7x+1

Step-by-step explanation:

When you look at the expression(3x+2+4x-1), you will notice that some have variables while some are just regular numbers.

First, focus on the variables. 3x and +4x. In the expression, you will have to add it so 3x+4x will be 7x. Now, keep 7x on the side and switch to the numbers.

Next, focus on the numbers. 2 and -1. All you have to do is combine them which will be 2-1 which also equals 1.

Finally, return 7x with 1 which will be 7x+1. The reason you add a + sign instead of a - sign is because you got positive 1, not negative 1.

Your answer is 7x+1.

If n = 4, all of the following expressions are equivalent except _____. 16 n -2

Answers

The answer is 62 because 4 =n so you hsve to do 16x4-2 so that is (16x4) -2 and it equals 61

For n = 4, all of the given expressions are equivalent except 16 and

(n - 2).

What is Substitution method?

To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

The expressions are;

1. 16

2. n - 2

3. 1/16

4. 1/n²

Now, Put n = 4 in all given expression we get;

The first expression is,

16

The second expression is,

n - 2

= 4 - 2

= 2

The third expression is,

1/16

The fourth expression is,

1/n²

= 1/4²

= 1/16

Hence, Third and fourth expression are same.

So, For n = 4, all of the given expressions are equivalent except 16 and

(n - 2).

Learn more about the substitution method visit:

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The complete question is this.

If n = 4, all of the following expressions are equivalent except _____.

16

n -2

1/16

1/n ^ 2

A small town’s raffle has 85 entries and 3 gift baskets that three different people could win. What is the probability of winning a gift basket if you have 1 of the entries

Answers

Answer:

[tex]\dfrac{3}{85}[/tex]

Step-by-step explanation:

It is given that a small town’s raffle has 85 entries and 3 gift baskets that three different people could win.

Total number of entries = 85

Total number of gift baskets = 3

We need to find the probability of winning a gift basket.

[tex]\text{Required probability}=\dfrac{\text{Total number of gift baskets}}{\text{Total number of entries}}[/tex]

[tex]\text{required probability}=\dfrac{3}{85}[/tex]

Therefore, the required probability is [tex]\dfrac{3}{85}[/tex].

For f(x)=3x+1 and g(x)= x2-6, find (f/g)(x)

Answers

Answer:

(3x+1)/(x^2-6)

Step-by-step explanation:

f/g(x)=f(x)/g(x)=(3x+1)/(x^2-6)

write 3 integers less than -27​

Answers

Answer:

It would be -28, -29, and -30.

Step-by-step explanation: It would be these answers since the numbers are negative the "less than" would be in the other direction.

In the figure shown, AB = 8 and AD = 5. What is BC?

Answers

Answer: 5

Step-by-step explanation:

Since we know that equal number of dashes will always be equal to another we can easily solve the question. They said AB=8 and as you can see 8 is represented by two dashes here and if we take in what i said earlier,, that means DC= 8 too. They also said AD= 5. Since 5 is represented by one dash we can easily see that since BC also has one dash,, it is going to be equal to AD which concluded to the answer of 5.

(1/2)+(1/2)
lets see who can solve this problem the fastest

Answers

The answer would have to be 1.

Answer:

1

Step-by-step explanation:

Youll only add the top parts so 1+1=2

now we have [tex]\frac{2}{2}[/tex] which is also equal to 1 so our answer is 1.

Rewrite the equation for x, and express its value in terms of a. 3/a x - 4 = 20

Answers

For this case, we must clear variable "x" from the given equation, expressed in terms of "a".

We have:

3/a x-4=20

By clearing "x" we have:

Adding 4 to both sides of the equation:

3/a x = 20 + 4

Multiplying by a/3 on both sides of the equation:

x=24a/3

x=8a

So, x=8a

Answer:

x=8a

3/7 rounded to the nearest hundredth

Answers

Answer:

0.4285714286.

The hundredth place is 2 places to the right of the decimal. In this case, it is 2. So we look to the number to the right of 2 (which is 8). 8 ≥ 5, so the 2 gets rounded to a 3.

0.43

Answer:

The answer is 0.43

Step-by-step explanation:

When you divide 3 by 7, you get 0.42857142857142857142857142857143.

To round to the nearest hundredth, you go 2 numbers after the decimal place. The number on the right of the 2nd number (which is in the hundredths place) will either make the number round up or down. Since the number 8 is greater than 5, the number rounds up.

So, the answer will be 0.43

— 7 + 4p = -8p + 11
just the answer
or steps if you can​

Answers

Answer:

p = 1.5

Step-by-step explanation:

— 7 + 4p = -8p + 11

Add 8p to each side

— 7 + 4p+8p = -8p+8p + 11

-7 +12p = 11

Add 7 to each side

-7+7 +12p = 17

12p = 18

Divide each side by 12

12p/12 =18/12

p = 18/12

p = 3/2

p = 1.5

What are the coordinates of Y if the midpoint of line segment XY is (2,-5) and the coordinates of point X is (4,4)?

Answers

Answer:

Y(0, - 14 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ [tex]\frac{1}{2}[/tex] (x₁ + x₂ ), [tex]\frac{1}{2}[/tex] (y₁ + y₂ ) ]

Use the midpoint formula and equate corresponding parts to the coordinates of the given midpoint

let Y = (x, y ), then

[tex]\frac{1}{2}[/tex] (4 + x) = 2 ( multiply both sides by 2 )

4 + x = 4 ( subtract 4 from both sides )

x = 0

and

[tex]\frac{1}{2}[/tex] (4 + y ) = - 5 ( multiply both sides by 2 )

4 + y = - 10 ( subtract 4 from both sides )

y = - 14

Thus

coordinates of Y = (0, - 14 )

Perform the indicated operation.
f(x)= 3x - 5
g(x) = 4x - 4
Find (5f- 5g)(x)

Answer is -5x-5

Answers

Answer: -5x-5

Step by step explanation:

A field in the shape of a trapezoid has an area of 13.687.5 square yards the length of one base is 150 yards and the length of the other base is 215 yards what is the height of the trapezoid

Answers

This question is not correctly written

Complete Question

A field in the shape of a trapezoid has an area of 13,687.5 square yards the length of one base is 150 yards and the length of the other base is 215 yards what is the height of the trapezoid

Answer:

The height of the trapezoid is 75 yards

Step-by-step explanation:

Area of a Trapezoid = 1/2(b1 + b2) × h

Where b1 = Length of the first base

b2 = Length of the second base

h = height of the trapezoid

From the question

Area of the trapezoid = 13,687.5 yd²

b1 = Length of the first base = 150 yards

b2 = Length of the second base = 215 yards

h = height of the trapezoid

Hence, we have

13,687.5 = 1/2(150 + 215)h

13,687.5 = 365h/2

13,687.5 × 2 = 365h

h = 13687.5 × 2/365

h = 75 yards

Therefore, the height of the trapezoid is 75 yards.

slove the following multi-step equation

-3(3x+8)+2=26-3x

Answers

Answer:

x=-8

Step-by-step explanation:

-3(3x+8)+2=26-3x

We move all terms to the left:

-3(3x+8)+2-(26-3x)=0

We add all the numbers together, and all the variables

-3(3x+8)-(-3x+26)+2=0

We multiply parentheses

-9x-(-3x+26)-24+2=0

We get rid of parentheses

-9x+3x-26-24+2=0

We add all the numbers together, and all the variables

-6x-48=0

We move all terms containing x to the left, all other terms to the right

-6x=48

x=48/-6

x=-8

Jeremy and Karina are playing the "Integer Card Game". Jeremy drew three cards, -1, 8, and - 3.
What is the sum of the cards in his hand?m?

Answers

Answer:

3

Step-by-step explanation:

Answer:

-1 + 8 + (-3) = 4

Step-by-step explanation:

Short math problem giving brainly!

Answers

Answer:

It should be the second one

Step-by-step explanation:

J is between H & K, if HJ=4t-15, JK=5t-6, and KH=15, find JK

Answers

Answer:

JK = 39

Step-by-step explanation:

HJ and JK are segments of line segment HK, so they must add up to the length of KH.

HJ + JK = HK

By substituting in the values of each line segment, we can solve for t.

(4t - 15) + (5t - 6) = 15

9t - 21 = 15

9t = 36

t = 9

Now that we have t, we can plug it in in order to find the value of JK.

JK = 5t - 6

5(9) - 6

45 - 6

39

JK = 39

Simplify the following expression.

(7x3 + 8 – x2) + (5x3 – 7)

Answers

Are the numbers behind the x exponents?

brainlet !!
5/6 + 7 1/3 (pls show how u get the answer)

Answers

Answer:

8 1/6

Step-by-step explanation:

5/6 + 7 1/3

Change the fractions to different denominators.

5/6 x 1/1 = 5/6

1/3 x 2/2 = 2/6

5/6 + 2/6 = 7/6

7/6 = 1 1/6

1 1/6 + 7 = 8 1/6

I will mark brainliest just answer right and fast pls
attached link​

Answers

Answer:

9,0

Why?

Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

15-12 + 4(3) =
15-12-12
15-1
14

Answers

Answer:

15

Step-by-step explanation:

15-12+4(3)

15-12+12

3+12

15

5 + {2[(48 – 40) ÷ 4 + (2 x 5)]}

Answers

Answer:

29.

Step-by-step explanation:

The given expression is

[tex]5+2[(48-40)\div 4+(2\times 5)][/tex]

BODMAS = Bracket, Of, Division, Multiplication, Addition, and Subtraction.

Using BODMAS, we get

[tex]5+2[(8)\div 4+(10)][/tex]         (Brackets)

[tex]5+2[2+10][/tex]                  (Division)

[tex]5+2[12][/tex]               (Brackets)

[tex]5+24[/tex]                 (Multiplication)

[tex]29[/tex]           (Addition)

Therefore, the value of given expression is 29.

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