admin

2 months ago

Guest #8329

2 months ago

The statement is false because not all the corresponding point have been translated correctly from the original.

Here are the correct answers:

C: (-3, 1) to (0,5). CORRECT!

D: (1,5) to (4, 9) INCORRECT IN THE CHOICE

E: (5, 1) to (8, 5) INCORRECT IN THE CHOICE

F: (1, -3) to (4, 1) INCORRECT IN THE CHOICE

Here are the correct answers:

C: (-3, 1) to (0,5). CORRECT!

D: (1,5) to (4, 9) INCORRECT IN THE CHOICE

E: (5, 1) to (8, 5) INCORRECT IN THE CHOICE

F: (1, -3) to (4, 1) INCORRECT IN THE CHOICE

Guest #8330

2 months ago

**Answer:**

false

**Step-by-step explanation:**

fr ong

Question

A dilation with center (0,0) and scale factor k is applied to a polygon. What dilation can you apply to the image to return it to the original preimage?

Solution 1

Let's take an example. Say you have a dilation with center (0,0) and scale factor 2. So, k=2. You are dilating a square, whose sides each measure 1 unit.

In a dilation, you multiply each side length of the pre-image by the scale factor (k). The pre-image is the original figure, the square with 1 unit long sides. So each side in the image, the new figure after dilation, will be 2 times as long. 1*2=2, so each side is 2 units long.

Now, you want to return the figure to the original pre-image. The figure we just created has sides of 2 units long each. We want to get it to the original pre-image, which has sides of 1 unit long each. We multiply each side of our original figure (the one with 2 units on each side) by the scale factor to get the dimensions of the new figure (which should be 1 unit long on each side).

Therefore, we can say that 2*x=1. Our original dimension times the scale factor needs to equal the new dimension, which has to be one. Now, just solve for x by dividing by 2 on each side. x=1/2.

What do you notice? The first scale factor (k) is 2, and the scale factor to get it back to the pre-image (x) is 1/2. Notice how k=2, while the denominator (bottom part) of x also equals 2. If you try making k=3, or 4, x will equal 1/3 or 1/4 respectively. There's a pattern here.

We can say that the new scale factor, in relation to k, will be 1/k. That's the dilation you can apply to the image.

Answer: 1/k

In a dilation, you multiply each side length of the pre-image by the scale factor (k). The pre-image is the original figure, the square with 1 unit long sides. So each side in the image, the new figure after dilation, will be 2 times as long. 1*2=2, so each side is 2 units long.

Now, you want to return the figure to the original pre-image. The figure we just created has sides of 2 units long each. We want to get it to the original pre-image, which has sides of 1 unit long each. We multiply each side of our original figure (the one with 2 units on each side) by the scale factor to get the dimensions of the new figure (which should be 1 unit long on each side).

Therefore, we can say that 2*x=1. Our original dimension times the scale factor needs to equal the new dimension, which has to be one. Now, just solve for x by dividing by 2 on each side. x=1/2.

What do you notice? The first scale factor (k) is 2, and the scale factor to get it back to the pre-image (x) is 1/2. Notice how k=2, while the denominator (bottom part) of x also equals 2. If you try making k=3, or 4, x will equal 1/3 or 1/4 respectively. There's a pattern here.

We can say that the new scale factor, in relation to k, will be 1/k. That's the dilation you can apply to the image.

Answer: 1/k

Question

If jeremy gives his horse 12 gallons of water each day. How many one quart pails of water is that

Solution 1

Multiply total number of gallons per day by number of quarts in one gallon

4 quarts= 1 gallon

= 12 gallons * 4 quarts in 1 gallon

= 48 quarts

ANSWER: He would use 48 quart pails of water per day to give his horse 12 gallons of water.

Hope this helps! :)

4 quarts= 1 gallon

= 12 gallons * 4 quarts in 1 gallon

= 48 quarts

ANSWER: He would use 48 quart pails of water per day to give his horse 12 gallons of water.

Hope this helps! :)

Question

Dilation ( effects of changing dimensions on perimeter and area) A company that makes square tiles would like to make a square tile that has 4 times the area of their smaller tiles. if their smaller tiles have a perimeter of 16 inches. What will be the perimeter of their larger tile?
A- 8 in.
B- 32 in.
C- 64 in.
D- 256 in.

Solution 1

The answer is C) 64in.

Question

Solve the following equation (6p+8)(5p-8)

Solution 1

=(6p + 8)(5p - 8)

multiply each term in left parentheses by each term in right parentheses; use the FOIL method: multiply first, outside, inside, last

=(6p*5p) + (6p*-8) + (8*5p) + (8*-8)

multiply

=30p^2 - 48p + 40p - 64

combine like terms

=30p^2 - 8p - 64

ANSWER: 30p^2 - 8p - 64

Hope this helps! :)

multiply each term in left parentheses by each term in right parentheses; use the FOIL method: multiply first, outside, inside, last

=(6p*5p) + (6p*-8) + (8*5p) + (8*-8)

multiply

=30p^2 - 48p + 40p - 64

combine like terms

=30p^2 - 8p - 64

ANSWER: 30p^2 - 8p - 64

Hope this helps! :)

Solution 2

The answer to the equation is 30p2-2-64

Question

-1/3p+1=10 how to answer this

Solution 1

-1/3p+1=10

-1 -1

——————

-1/3p = 9

—— —-

-1/3 -1/3

p = -3

-1 -1

——————

-1/3p = 9

—— —-

-1/3 -1/3

p = -3

Question

the sum of three numbers is 161 the second number is six times the first and the third is 5 more than the second find the numbers

Solution 1

X+y+z=161 . y=7+x . z=5x. x+x+7+5x=161 . x=22 y=x+7=29 z=5x=110

Question

Jewelers building a pen for her baby turtles. She wants the pain to be 30 in long and 45 in wide. What piece of wood will Jill need to purchase to buildTurtle pin?

Solution 1

135 I think just multiple 45x30

Question

Over the period of one month 159 dogs visited the dog park. Suppose the same number of dogs visited each month for 1 year. How is this total different from the year before 95 dogs visited the dog park every 3 months for the year? Show your work and explain how you got your answer. WILL MARK BRAINLEST!!!!!!

Solution 1

1908 first year. 380 second year. the way I got my answer is by a calculator.

Solution 2

With 159 dogs visiting the park every month for a year, 159(12), the total is 1908 dogs, while in a year, three months is lapsed four times to total 12 months. Therefore, in a year 380 dogs visit the park, 95(4),". Which is less than the 1,908 dogs who visit in a year when coming every month.

Question

Two points move along a circle of length 120m with a constant speed. If they move in different directions, then they meet every 15 seconds. When going in the same direction, one point catches up to the second every 60 seconds. Find the speeds of the points.

Solution 1

Let x and y be the speeds of the two points. The circle is of length 120m that is Circumference of circle is 120m.When the points are moving in opposite directions, they meet in every 15 seconds.That is the points cover 120m in 15 seconds.As they are moving in opposite directions, so the relative speed will be equal to the sum of speeds of both points.Speed= Distance ÷Time = 120÷15=8m per seconds.

x+y=8

When going in the same direction, one point catches up to the second every 60 seconds.Speed= 120÷60=2 m per seconds

x-y=2.

Solving the two equations by elimination method:

x+y=8.

x-y=2

Adding the equations:

2x=10 ,x=5m / sec.

x+y=8

5+y=8

y=3m/sec.

Thus, the speed of the two points is 5 m/s and 3 m/s.

Question

The google family built a rectangular swimming pool in their backyard.The floor of the pool has an area of 485 5/8 square feet.If the width of the pool is 18 1/2 feet,what is the length of the pool?

Solution 1

A= Area= 485 5/8 ft^2

W= Width= 18 1/2 ft

L= Length= ?

Area= LW

plug in known numbers

485 5/8= (L)(18 1/2)

convert to improper fractions

3885/8= (L)(37/2)

divide both sides by 37/2

3885/8 ÷ 37/2= L

to divide fractions, multiply by the reciprocal/inverse of 37/2

3885/8 * 2/37= L

multiply numerators; multiply denominators

(3885*2)/(8*37)= L

multiply inside parentheses

7770/296= L

simplify

105/4 feet= L

change to mixed number

26 1/4 feet= L

ANSWER: The length is 26 1/4 feet (or 26.25 feet).

Hope this helps! :)

W= Width= 18 1/2 ft

L= Length= ?

Area= LW

plug in known numbers

485 5/8= (L)(18 1/2)

convert to improper fractions

3885/8= (L)(37/2)

divide both sides by 37/2

3885/8 ÷ 37/2= L

to divide fractions, multiply by the reciprocal/inverse of 37/2

3885/8 * 2/37= L

multiply numerators; multiply denominators

(3885*2)/(8*37)= L

multiply inside parentheses

7770/296= L

simplify

105/4 feet= L

change to mixed number

26 1/4 feet= L

ANSWER: The length is 26 1/4 feet (or 26.25 feet).

Hope this helps! :)

Solution 2

Area = Length x Width

Divide both side by 18 1/2:

Convert to improper:

Change divide fraction to multiplicationf fraction:

Mutliply and simplify:

**Answer: Length = 26 1/4 feet**

Divide both side by 18 1/2:

Convert to improper:

Change divide fraction to multiplicationf fraction:

Mutliply and simplify:

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