MATHEMATICS HIGH SCHOOL

PLEASE HELP!

Identify the center and radius of the circle (x+4)^2 + (y-2)^2=16
PLEASE HELP! Identify the center and radius of the circle - 1

Answers

Answer 1
Answer: The equation for a circle is x^2+y^2=r^2 so the radius is the square root of 16 which is 4. Then you take y-2 and set it equal to 0. This gives you y=2 as the y coordinate of the center. You then set x+4 equal to 0 which gives you x=-4 which is the x coordinate of the center. So the radius is 4 and the center is at (-4,2)

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Ellentown College had approximately 3 x 10 to the 3rd power students and Pengrove University has approximately 30,000 students. How many times as much is the number of students at Pengrove University as the number of students at Ellentown College?

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Ellentown has 3000 students, while Pengrove has 30,000. Pengrove has ten times as many students! 

the ratio 1mm represents 1cm is the same as 1:10 complete the following the ratio 1cm represents 1km is the same ratio as 1:

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Answer: 1:100

Explanation: If 1cm is 10 and there is 1mm for every 10cm, and the unit that is after centi- is kilo- then all you’d have to do is put another zero.

Final answer:

Given that 1 km is equal to 100000 cm, the ratio of "1 cm represents 1 km" is identical to the ratio of "1:100000."

Explanation:

The ratio in the question has been adjusted from millimeters to centimeters and is presently being altered from centimeters to kilometers. In light of the fact that 1 centimeter is equal to 0.00001 kilometers, the original ratio of 1cm:1km can be restated as 1:100000. In other words, 1cm represents 1km is the same ratio as 1:100000. This is a demonstration of how units of measure can impact ratios and proportions in mathematics.

Learn more about Ratios and Proportions here:

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How do you work out 3x+7-6x=5x-1

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3x+7-6x=5x-1
Put the like terms together;
3x-6x-5x=-1-7
-8x=-8
x=1

What is a group of equations that have a common intersection point?

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I think it is called Euclidean geometry.

Which equation shows a line perpendicular to the line

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Answer:

The second answer: y= 3/4x + 2

Step-by-step explanation:

Subtract 4x to the other side

Divide by 3 to get y by itself

Make the coefficient of the x term the negative reciprocal, for that is the perpendicular slope of the line

Multiply your answer should be a monomial in standard form (-4x^2)(7x^3)

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answer: -28x^5

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