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Alexxx [7]
2 years ago
15

What is the equation for the translation of x2 + y2 = 16 seven units to the right and five units up?

Mathematics
1 answer:
asambeis [7]2 years ago
6 0

Answer:

  • (x − 7)2 + (y − 5)2 = 16

Step-by-step explanation:

The given circle has equation

\sf \: x^2+y^2=16x

The equation of a circle with center (h,k) and radius r units is

\sf(x-h)^2+(y-k)^2=r^2(x−h)

\sf(x-7)^2+(y-5)^2=4^2(x−7)

\sf(x-7)^2+(y-5)^2=16(x−7)

<h2>❖ Tip❖ :- </h2>

This is the equation that has its center at the origin with radius 4 units.

When this circle is translated seven units to the right and five units up, then the center of the circle will now be at (7,5).

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The Magic Carpet charges $90 for installation and $9 per square yard of carpeting. If the total cost to carpet an office is $810
dimaraw [331]

Answer:

<h2>11.11 square yard </h2>

Step-by-step explanation:

Step one:

given data

charges=$90

installation=$9 per square yard

total cost of installation= $810

let x represents the number of square feet

Step two:

The expression for the installation cost is given as

810=9x+90------------1

solve for x, collect like terms

810-90=9x

720=9x

divide both sides by 9 we have

x=720/9

x=11.11 square yard

4 0
3 years ago
What are the factors of rty
algol13

The factors of  rty  are

1,  r,  t,  y, 

rt,  ry,  ty,  rty

5 0
3 years ago
20 Points-
Dennis_Churaev [7]

Answer:

Step-by-step explanation:

That would be 0=12 or 10 so that means you have to add 2 to 10.

7 0
2 years ago
What is m∠HLK? thanks
Katen [24]
The answer is 80°.

If there is a line segment in a triangle which cuts two sides in half or if there is a line segment between two midpoints of a triangle's sides, that line segment must be parallel to the remaining side.

In this case, point L is the midpoint of FH, and point K is the midpoint of HG. So, LK is parallel to FG.

When a line cuts two parallel lines, there are angle pairs which are equal. In the problem above, the line segment FH cuts KL and GF.

The angles KLH and GFH are what we called "Corresponding Angles" and they are equal.

So if HFG is 80°, HLK must be equal to 80°
3 0
3 years ago
A box of blueberries is 2/5 full. Janet and her friends had each eaten 1/10 of a box of blueberries. How many people are blueber
anyanavicka [17]

In this problem, we have to find the factor which will make (1 / 10) equal to (2 / 5). Therefore we can write it as:

x (1 / 10) = 2 / 5

where x is the number of people who ate the blueberries

x = (2 / 5) / (1 / 10)

x = 4

 

<span>Therefore 4 people ate the blueberries.</span>

7 0
3 years ago
Read 2 more answers
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