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3 years ago

Question 5 (25. pts)

Mathematics

2 answers:

Pie3 years ago

7 0

Answer:

No matter where the center of rotation is located on the coordinate plane, each point in the preimage is the same distance from the point of rotation as its corresponding point in the rotated images. This distance is not affected by changing the location of P. Although this investigation covered vertices only, it's clear that any point on a shape or figure will be affected similarly.

Step-by-step explanation:

grigory [225]3 years ago

4 0

Answer:

Step-by-step explanation: Sample answer for PLATO and Edmentum

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Solving Rational equations. LCD method. Show work. Image attached.

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.

$k=\frac{1}{2}$

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3 years ago

Find the circumference of a sphere's great circle with a radius of 4 m.

Ulleksa [173]

This is the concept of areas and circumference of the solid figures;
The circumference of the cylinder whose radius is 4 m will be given by;
C=2πr
C=2*π*4
C=8π m=25.133 m

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3 years ago

A pond is being drained by a pump. After 3 hours, the pond is half empty. A second pump is put into operation and together the t

aleksandr82 [10.1K]

The first pump empties half the pond in 3 hours, so in 1/6 that time (1/2 hour), it empties (1/6)·(1/2) = 1/12 of the pond.

The second pump empties the other 5/12 of the pond in that half hour, so has a pumping rate of (1/2 h)/(5/12 pond) = (6/5 h)/pond.

The second pump could do the entire job alone in 1 hour and 12 minutes.

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3 years ago

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A rectangular patio has a length of 12 1\2 feet and an area of 103 1\8 square feet. What is the width of the patio?

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