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3 years ago

Write an equation for the translation of x^2+y^2=25 by 7 units left and 2 units down

1 answer:

4 0

Your equation is a circle where the center is the origin (0, 0) and the radius is 5. With the translation, the new center is (- 7, - 2). Radius stays the same.

Your new equation is:

(x + 7)² + (y + 2)² = 25

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a television and dvd player cost a total of $1056. the cost of the television is three times the cost of the dvd player. find th

Makovka662 [10]

The cost of TV is $ 792 and cost of DVD player is $ 264

Solution:

Given, total cost of television and dvd player = 1056

The cost of the television is three times the cost of the dvd player.

Now, let the cost of DVD player be "n", then the cost TV will be (1056 – n)

And, we know that, cost of TV is 3 times Cost of DVD

$\text { cost of Television } =3 \times \text { cost of DVD }$

$\begin{array}{l}{1056-n=3 \times n} \\\\ {1056=3 n+n} \\\\ {4 n=1056} \\\\ {n=264}\end{array}$

So, the cost of DVD player is $264, the cost of TV will be (1056 - 264) = $792

5 0

3 years ago

A pair of parallel lines is cut by a transversal as shown in the figure. Match the angles with their corresponding angles.

garri49 [273]

D and H are corresponding
G and C are corresponding
E and A are corresponding
B and F are corresponding

4 0

3 years ago

Read 2 more answers

The width of a rectangle is 7 meters greater than its length. If the area of the rectangle is 170 square meters, write the quadr

Lostsunrise [7]

Since x represents the length (in meters), the width, which is 7 meters greater, is x +7. The product of these dimensions is the area (in square meters):
x(x +7) = 170
In standard form, the quadratic is ...
x² +7x -170 = 0

4 0

3 years ago

The water level of a certain body of water is changing at a rate of W(t)=3/4cos(4-t/2) inches per hour, where t represents hours

Leni [432]

Answer:

The answer is below

Step-by-step explanation:

a) The integral $\int\limits^{10}_{1 } {W(t)} \, dt$ means the total change in level of water in inches from 1 am to 10 am. That is the water level change measured in inches between 1 am and 10 am

b) 7 pm is represented as t = 19 hours, while midnight is represented as t = 24 hours, hence the water level change between 7 pm and midnight is:

$\int\limits^{24}_{19 } {W(t)} \, dt\\\\$

c) Using casio calculator to evaluate the integral gives:

$\int\limits^{24}_{19 } {W(t)} \, dt\\\\$ = 2.54 inches

D) The total daily change in water level = $\int\limits^{24}_{0 } {W(t)} \, dt\\\\$ = 0.35 inches

8 0

2 years ago

5 square root 13^3. A 13^2. B 13^15 C 13^5/3. D 13^3/5

arlik [135]

Answer is D.

When you have an exponent that is a fraction, the denominator is the number you root the base by. In this case the exponent is 3/5, so you fifth root 13 cubed.

5 0

3 years ago