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weqwewe [10]
3 years ago
7

Dilations on coordinate plane algebraic representation

Mathematics
1 answer:
igomit [66]3 years ago
8 0

Answer:

When a dilation in the coordinate plane has the origin as the center of dilation, you can find points on the dilated image by multiplying the x- and y-coordinates of the original figure by the scale factor. For scale factor k, the algebraic representation of the dilation is (x, y) → (kx, ky)

Step-by-step explanation:

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Ugo [173]

Answer:

k=\frac{1}{2}

Step-by-step explanation:

The given rational equation is

\frac{5k}{k+2}+\frac{2}{k}=5

The Least Common Denominator is

k(k+2)

Multiply each term by the LCD.

k(k+2)\times \frac{5k}{k+2}+k(k+2)\times \frac{2}{k}=5k(k+2)

Simplify;

k\times \frac{5k}{1}+(k+2)\times \frac{2}{1}=5k(k+2)

\Rightarrow k(5k)+2(k+2)=5k(k+2)

Expand;

\Rightarrow 5k^2+2k+4=5k^2+10k

Group similar terms;

\Rightarrow 5k^2-5k^2+2k-10k=-4

\Rightarrow -8k=-4

Divide by -8.

k=\frac{1}{2}

5 0
3 years ago
A model of a famous statue is 2 1/2 inches tall. The actual statue is 3 3/4 feet tall. What is the ratio of the height of the mo
madreJ [45]

Answer: 2:3.

Step-by-step explanation:

\displaystyle\\\frac{The\  height\ of\  a\  model \ of \ a\  famous \ statue }{The\  height\ of\  the\ actual \ statue} =\frac{2\frac{1}{2} }{3\frac{3}{4} } \\\\\frac{\frac{5}{2} }{\frac{15}{4} } =\\\\\frac{5*4}{15*2} =\\\\\frac{2}{3}=2:3.

3 0
1 year ago
Peaches are on sale for 0.95 cents per pounds if i have 2.75 pounds how much did i pay for the peaches?
Dennis_Churaev [7]

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$2.61

Step-by-step explanation:

I think you mean 0.95 dollars per pound. 0.95 cents means it's less than a dime per pound.

7 0
3 years ago
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Step-by-step explanation:

when the mean absolute deviation (M.A.D) is lower, that means the data is closer together. When it is higher that means the data is more spread out.

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2 years ago
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Answer:

Not on a coordinate plane

Step-by-step explanation:

We must use absolute value because lengths should always be positive you cannot have a negative length or distance.

4 0
3 years ago
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