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3 years ago

What is the radius of the circle with this equation of (x-5)2+(y+7)2=8

Mathematics

1 answer:

AysviL [449]3 years ago

3 0

Answer:

2√2

Step-by-step explanation:

compare this equation with the standard equation of a circle centered at (h, k) with radius r:

(x - h)^2 + (y - k)^2 = r^2

(x - 5)^2 + (y + 7)^2=8

Clearly, r^2 = (radius)^2 = 8, and so the radius, r, is √8, or 2√2

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Describe Henry's location relative to the library.

Evgen [1.6K]

Answer:

Part 1)

Henry's location is at the ordered pair $(-3,4)$

Libray's location is at the ordered pair $(2,-3)$

Part 2) Henry is 5 city blocks at the left of the library and 7 city blocks up of the library

Step-by-step explanation:

Part 1) Write the ordered pairs that represent Henry and the Library

we have that

Henry's location is at the ordered pair $(-3,4)$

Libray's location is at the ordered pair $(2,-3)$

Part 2) Describe Henry's location relative to the library

Observing the graph

Henry is 5 city blocks at the left of the library and 7 city blocks up of the library

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2 years ago

What is the formula to convert kilometers to miles?

arlik [135]

1 kilometer equal .62 miles.

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3 years ago

Rewrite equation in Ax+By=C form.<br> y-5=2(x-6)

Semenov [28]

Answer:

2x-y=7

Step-by-step explanation:

y-5=2(x-6)

y-5=2x-12

2x-y-12=-5

2x-y=-5+12

2x-y=7

8 0

3 years ago

A carousel horse travels on a circular path with a radius of 15 ft. How many feet does the horse travel over an angle of 2π3 rad

snow_lady [41]

Answer:

$arc\,\,length=10\,\pi\,ft\\arc\,\,length=31.41\,ft$

Step-by-step explanation:

Recall that the formula for the length of an arc of circumference is given by the formula:

$arc\,\,length=\theta\,R$

where $\theta$ is the radian form of central angle subtended , and R is the radius of the circumference. What is important is to have the angle given in radians for this formula to be valid.

In our case, the angle ( $\frac{2\pi}{3}$ ) is already in radians, so we can apply the formula directly:

$arc\,\,length=\theta\,R\\arc\,\,length=\frac{2\,\pi}{3} \,(15\,ft)\\arc\,\,length=10\,\pi\,ft\\arc\,\,length=31.41\,ft$

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2 years ago

What is the value of 3 in 305

Radda [10]

300? Sorry if I’m wrong but that’s what i would’ve put

8 0

2 years ago