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N76 [4]
2 years ago
5

An image point of a tranformation has coordinates Y'(2, -4). If the pre-image point had coordinates Y(6, -12) what was the trans

formation and scale factor?
a. reflection with scale factor 3
b. reflection with scale factor 1/3
c. dilation with scale factor 3
d. dilation with scale factor 1/3
Mathematics
1 answer:
galina1969 [7]2 years ago
6 0
Dilation with a scale factor 1/3. the original points are three times as big as the transformed points, so the transformation needed to reduce the size by three times smaller.
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The radius of a sphere is multiplied by . What effect does this have on the volume of the sphere? A. The volume of the sphere is
Greeley [361]

Answer:

Option A. The volume of the sphere is multiplied by 1/343.

Step-by-step explanation:

The volume of a sphere can be obtained by the following formula:

V = 4/3πr^3

Let the initial volume (V1) of the sphere be:

V1 = 4/3πr^3 = (4πr^3)/3

Now, if we multiply the radius by 1/7, then the new volume (V2) of the sphere will be:

V2 = 4/3 x π x (1/7r)^3

V2 = 4/3 x π x 1/343r^3

V2 = (4πr^3)/1029

Now we determine the ratio of V2 : V1 as shown below:

V2/V1 = (4πr^3)/1029 ÷ (4πr^3)/3

V2/V1 = (4πr^3)/1029 × 3/(4πr^3)

V2/V1 = 3/1029

V2/V1 = 1/343

V2 = 1/343 x V1

Therefore, the volume of the sphere is multiplied by 1/343.

3 0
2 years ago
Use △XYZ, in which ∠X is a right angle and tanY=815.
Neporo4naja [7]

Answer:

8/17

Step-by-step explanation:

The correct and complete question is:

<em>Use △XYZ, in which ∠X is a right angle and tanY=8/15. What is the ratio for sinY?</em>

From definition:

tan(Y) = opposite/adjacent

From the graph and the question:

tan(Y) = XZ/XY = 8/15

Then:

XZ = 8 and XY = 15. Using pytaghorean theorem:

XZ² + XY² = YZ²

8² + 15² = YZ²

√289 = YZ

17 = YZ

From definition:

sin(Y) = opposite/hypotenuse

From the graph:

sin(Y) = XZ/YZ

sin(Y)= 8/17

8 0
3 years ago
Solve 80% of x = 100 or 0.8x = 100
suter [353]

Answer:

125

Step-by-step explanation:

divide both sides of the equation by 0.8

0.8÷0.8=0.8÷100

any expression divided by 1 is itself

x=100÷0.8

divide the numbers

100÷0.8=125

125 is your answer

7 0
3 years ago
Simplify<br> x2 + 6 − (3x2 − 2x − 5)
Karolina [17]

Answer:

- 2x² + 2x + 11

Step-by-step explanation:

Given

x² + 6 - (3x² - 2x - 5) ← distribute parenthesis by - 1

= x² + 6 - 3x² + 2x + 5 ← collect like terms

= - 2x² + 2x + 11

4 0
3 years ago
Read 2 more answers
Tracy bought 2 cans of paint and 7 1/3 pints of special paint additive formulated to reduce mildew. Before painting her house, s
podryga [215]

Answer:

3 2/3 pint

Step-by-step explanation:

First break down the mixed number to divide (into 7 and 1/3)

7 divided by 2 is 3.5 (Convert 3.5 to sixths)

1/3 divided by two is 1/6

1/6 + 3 3/6= 3 4/6 OR 3 2/3

Hope this helps! :)

5 0
3 years ago
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