XY is dilated by a scale factor of 1.3 with the origin as the center of dilation to create the image X'Y'. If the slope and length of XY are m and l respectively, what is the slope of X'Y'?

Answers

Answer 1
Answer:

Answer:

The slope of X'Y' is m.

Step-by-step explanation:

It is given that XY is dilated by a scale factor of 1.3 with the origin as the center of dilation to create the image X'Y'.

Let the slope and length of XY are m and l respectively.

The dilation shows the enlargement and comparison of the figure. If the scale factor is more than 1 , then it shows enlargement. If the scale factor is more than 0 but less than 1 , then it shows compression.

The corresponding sides of image and preimage are parallel to each other. Since the slope of parallel line are equal therefore the slope of XY and X'Y' are equal, i.e., m.

The length of the image is k times of the length of preimage. The length of X'Y' is

X'Y'=1.3* XY=1.3l

Therefore the slope of X'Y' is m.

Answer 2
Answer: The XY is dilated by a scale factor of 1.3 with the origin as the center of dilation to create the X'Y'. So the length of X'Y' is 1.3 times of origin but the slope is the same. The slope is m.

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Answers

Answer:

yes

Step-by-step explanation:

12/99=121212, so yes

12/100= 0.12, nope

12/90=0.13131, nope

4/33=0.121212, so yes

3/25=0.12, nope

4/30=0.131313, so nope

in conclusion, you are correct

Yes this is correct!

Which equation is equivalent to 4.5 = 2a?

Answers

2a = 4.5    |divide both sides by 2

a = 2.25

Answer:

a = 2.25

Step-by-step explanation:

What is the slope of these ordered pairs (3,-4(6,1)

Answers

Answer:

The slope would be 5/3

Step-by-step explanation:

Let me know if u have to simplify it

A line has a gradient of 4 and passes through the post (1,7). what is the equation?

Answers

Answer:

The equation is y = 4x+3

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = 4x + b

Substitute the x and y value into the equation

7 = 4(1)+b

7 = 4+b

Subtract 4

7-4 =b

3=b

The equation is y = 4x+3

Answer:

y = 4x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 4, thus

y = 4x + c ← is the partial equation

To find c substitute (1, 7) into the partial equation

7 = 4 + c ⇒ c = 7 - 4 = 3

y = 4x + 3 ← equation of line

A bank is offering 2.5% simple interest on a savings account. if you deposit $5000,how much interest will you earn in 0ne year?

Answers

2.5% of 5000 is 125. So in the first year you'll earn $125.

Final answer:

The interest earned on a $5000 deposit with a simple interest rate of 2.5% for one year is $125.

Explanation:

To calculate the interest earned on a savings account, you can use the formula: Interest = Principal × Interest Rate × Time. In this case, the principal (amount deposited) is $5000, the interest rate is 2.5% (or 0.025 as a decimal), and the time is 1 year. Plugging in these values, we get:

Interest = $5000 × 0.025 × 1 = $125.

Therefore, you will earn $125 in interest on your $5000 deposit after one year.

Learn more about Calculating Interest here:

brainly.com/question/33719909

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Which of the following is the surface area of the right cylinder below?height 2
radius 9

A. 174 units2
B. 187 units2
C. 198 units2
D. 162 units2

Answers

The lateral area of a cylinder (i.e. without the bottom and top lids) is 2πrh = 2π(9)(2) = 36π

The area of the two lids is 2[π(r^2)] = 162π

The sum is: 36π + 162π = 198π

I guess the answers included π but you couldn't type it.

Answer: The surface area of right cylinder is 198\pi \text{ units}^2

Step-by-step explanation:

To calculate the total surface area of cylinder, we use the formula:

\text{Total surface area of cylinder}=2\pi r(r+h)

where,

r = radius of cylinder = 9 units

h = height of the cylinder = 2 units

Putting values in above equation, we get:

\text{Total surface area of cylinder}=2\pi * 9(9+2)\n\n\text{Total surface area of cylinder}=2\pi * 9* 11\n\n\text{Total surface area of cylinder}=198\pi \text{ units}^2

Hence, the surface area of right cylinder is 198\pi \text{ units}^2