# Will A Dilation With A Scale Factor Of 1/2 Create An Enlargement Or A Reduction? (A.) Enlargement (B.) (2023)

Mathematics Middle School

(B.) reduction

Step-by-step explanation:

If the scale factor k verify -1 < k < 1 then it creates a reduction

and -1 < 1/2 < 1

## Related Questions

Write the equation of parabola that has vertex (9,7) and passes through point (3,8).

see explanation

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (9, 7), thus

y = a(x - 9)² + 7

To find a substitute (3, 8) into the equation

8 = a(3 - 9)² + 7

8 = 36a + 7 ( subtract 7 from both sides )

36a = 1 ( divide both sides by 36 )

a =

y = (x - 9)² + 7 ← in vertex form

Expanding the factor and simplifying

y = (x² - 18x + 81) + 7

= x² - x + + 7

= x² - x + ← in standard form

After going three quarters of my journey. I found that I had covered 15 km distance. How much distance left?

Each day 1/2 of the money that is in bank value is removed. No money is added to the value. Which of the following represent the situation? A. linear function with a negative rate of change
B. linear function with a positive rate of change
C. exponential decay function
D. exponential growth function

Option C. exponential decay function

Step-by-step explanation:

In this problem we have a exponential function of the form

where

y ---> is the money that is in the bank

x ----> number of days

a ---> is the initial value or y-intercept

b is the base of the exponential function

r ---> is the rate of change

b=(1+r)

In this problem we have that

Each day 1/2 of the money that is in bank value is removed

so

---> is negative because is a decreasing function

The value of b is equal to

The value of b is less than 1

b Is a exponential decay function

Boris has 12.92 centimeters of yarn. If he wants to make the yarn into pieces that are 0.38 centimeters long, how many pieces can he make?

Divide the total amount by the cut length:

12.92 / 0.38 = 34

He can make 34 pieces.

Step-by-step explanation:

12.92 / 0.38 = 34 pieces

just division my dude

Explain why the vertical line test is used to determine if a graph represents a function

A function can only have one y value for each value of x, ie., y = f(x). The vertical line test verifies this. If you move a vertical line across the grid, your graph should never intersect this line at more than one place at a time. If it intersects at 2 or more places, there is no way a y=f(x) can make this happen, so then it is not a function.

Answer:A function can only have one y value for each value of x, ie., y = f(x). The vertical line test verifies this. If you move a vertical line across the grid, your graph should never intersect this line at more than one place at a time. If it intersects at 2 or more places, there is no way a y=f(x) can make this happen, so then it is not a function.

Step-by-step explanation:

What is the distance between (-3,4) and (4,4)​

(7,0) i think. i’m not sure so check

4. The sum of two even consecutive integers is 46. Find the integers.
4.
The

22 and 24

Step-by-step explanation:

If we call the numbers a and b, assuming b is the higher of the two, we know that

a + b = 46

b - a = 2

So

b = 2 + a (rewritten the second)

a + 2 + a = 46 (plug second into first)

2a = 44 (simplify a+a=2a and 46-2=44)

a = 22 (divide by 2)

b = 22+2=24 (fill in a in second)

Two sides of a triangle have the same length. The third side measures 3 m less than twice the common length. The perimeter of the triangle is 13 m. What are the lengths of the three​ sides?

4m, 4m, and 5 m

Step-by-step explanation:

From the information give;

• Two sides of a triangle are equal in length
• The third side is 3 m less than the common length
• Perimeter of the rectangle is 13 m

We are required to determine the dimensions of the triangle;

• Assuming the common sides are x m each
• Then, the third side will be (2x-3) m
• Perimeter of a triangle is equal to the sum of the lengths of the three sides

Therefore;

(2x-3) + x + x = 13 m

4x - 3 = 13m

4x = 16 m

x = 4 m

and, 2x-3 = 5 m

Therefore, the lengths of the three sides of the triangle are 4m, 4m, and 5 m

The Cozy Car Company created a new model of car especially for Japan and Vietnam, which they start shipping to both countries at the same time. The company had shipped 222 of that model of car to Japan by the end of the first month, and the cumulative total of cars they've shipped triples each month. The company had shipped 555 of that model of car to Vietnam by the end of the first month, and the cumulative total of cars they've shipped increases by 111111 cars each month. The company's board assembles at the end of each month to review the cumulative total number of cars shipped to each country. What is the first month in which the board will see the cumulative total number of cars shipped to Japan exceeded the cumulative total in Vietnam?

hope it helps!

4

Step-by-step explanation:

The 1st and 5th terms of an exponential sequence are 16 and 9 respectively find the 7th term of the sequence

6 3/4

Step-by-step explanation:

y = abˣ

16 = ab¹

9 = ab⁵

ab⁵ / ab¹ = 9 / 16

b⁴ = 9/16

b² = 3/4

7th term: y = ab⁷ = ab⁵ x b² = 9 x 3/4 = 27/4 = 6 3/4

What’s 6 dived by 5

6 / 5 = 1.2 as a decimal or 1 and 1/5 as a fraction.

! with your remander of 1 so as a fraction 1 1/6

Step-by-step explanation:

Which of the following numbers are co-prime? (a) 18 and 35 (b) 15 and 37 (c) 30 and 415
(d) 17 and 68 (e) 216 and 215 (f) 81 and 16

Step-by-step explanation:

co-prime is when ur numbers have no common factors other then 1.

(a) 18 and 35....this is co-prime

(b) 15 and 37....this is co-prime

(c) 30 and 415....not co-prime....common factor of 5

(d) 17 and 68...not co-prime....common factor of 17

(e) 216 and 215.....this is co-prime

(f) 81 and 16....this is co-prime

Marianne chose an integer. She subtracted 7 then multiplied the difference by -5. The product was 60. What integer did she chose

Step-by-step explanation:

(x-7) * -5 = 60

-5x + 30 = 60

5x = 60 - 30

x = 30/-5

so x = -5

The price of an electronic puzzle was reduced be \$7 Me.Murray bought 10 puzzles for his relatives. The total price before tax was \$130 what was the original price of the puzzle

Step-by-step explanation:

total price was reduced by \$ 7

let x = the total price........ x - 7

he bought 10.....and it cost him \$ 130

10(x - 7) = 130

10x - 70 = 130

10x = 130 + 70

10x = 200

x = 200/10

x = 20

How much is a book that is regularly priced at \$62.85 when it is 1/3 off?

Step-by-step explanation:

1/3 of \$62.85

= \$20.95

The price = \$(62.85 - 20.95)

= \$41.90

\$41.9

Step-by-step explanation:

divide \$62.85 and get 20.95 which is 1/3 of it so then you just subtract \$20.95 from \$62.85 and get 41.9

A bag contains 9 marbles: 2 are green, 4 are red, and 3 are blue. Choosing a marble at random and without putting it back, choosing another one at random, what is the probability that the first marble is blue and the second is green? In simplest form

Step-by-step explanation:

Total marble = 9

No. Of Green n(G) = 2

No. Of Red n(R) = 4

No. Of Blue n(B) = 3

Prob(1st Blue) = 3/9 = 1/3

Now there are 8 marbles left

Prob(2nd Green) = 2/8 = 1/4

Prob(1st Blue and 2nd Green) will be = 1/3 × 1/4 = 1/12

The .measures of two adjacent sides of parallelogram are in the ratio 17:7 if the second side measures 3.5 cm,find the perimeter of the parallelogram ​........ I WILL MARK U AS THE BRANLIEST......... PLZ ANSWER THIS QUESTION FAST .........WHOEVER GIVE IT THE FIRST I WILL MARK HIM AS THE BRANLIEST

24 cm

Step-by-Step explanation:

Given that there is a parallelogram and adjacent sides are in the ratio

17:7

The second side =3.5cm

So we have x:3.5 = 17:7 where x is the unknown first side

Solve using ratio property to get

3.5(17) = 7xOr x = 8.5 cm

Perimeter of parallelogram = sum of all sides

= 2(sum of one pair of adjacent sides)

=2(8.5+3.5)

=2(12)

=24 cm

(this is a word problem) Tom counts 430 passengers on the train. There were only 380 passengers. What is Tom's percent error?

88.37%

Step-by-step explanation:

(380/430)×100=88.37%

-49÷7=?

it says my question has to be at least 20 characters long so ignore this​

-7

Step-by-step explanation:

If you know that 49 ÷ 7 = 7, you can then infer that:

-49 ÷ 7 = -7

Hope this helps :)

-7 because you can put this into a calculator

Multiplying and dividing equations...9x=72​

x = 8

Step-by-step explanation:

9x = 72

x = 72 ÷ 9

x = 8

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