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4 years ago

Describe the circle given by the equation (x − 7)^2 + (y − 8)^2 = 9.

Mathematics

1 answer:

matrenka [14]4 years ago

8 0

<h2>The circle (x − 7)² + (y − 8)² = 9 is a circle with center (7,8) and radius is 3</h2>

Step-by-step explanation:

Equation of circle with (h,k) as center and radius r is given by,

(x-h)²+(y-k)² = r²

Here we need to describe the circle given by the equation (x − 7)² + (y − 8)² = 9

Changing equation to (x-h)²+(y-k)² = r² form

(x − 7)² + (y − 8)² = 9

(x − 7)² + (y − 8)² = 3²

So, h = 7 , k = 8 and r = 3

Center is (7,8) and radius is 3

The circle (x − 7)² + (y − 8)² = 9 is a circle with center (7,8) and radius is 3

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34!

Step-by-step explanation:

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3000.(1.01)^x

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3 years ago

Find the angle between 4i−6j and −i 5j. (round to the nearest tenth of a degree if necessary. ) The angle between the vectors is

GarryVolchara [31]

If the vectors are 4i-6j and -i-5j then the angle between both the vectors is approximately 45°.

Given two vectors be 4i-6j and -i-5j.

We are required to find the angle between vectors 4i-6j and -i-5j.

A vector is basically an equation involving a linear combination of vctors with possibly unkown coefficients. Vector is basically a quantity that has both magnitude and direction but not possition.

Angle is basically measure of inclination of something with the surface.

The angles between two vectors can be find out by the following formula:

cos Θ=[dot product of both the vectors/(product of magnitude of both the vectors)

cos Θ=[4*(-1)+(-6)*(-5)]/ $\sqrt{4^{2} +(-6)^{2} } *\sqrt{(-1)^{2} +(-5)^{2} }$

cos Θ=(-4+30)/ $\sqrt{52}\sqrt{26}$

cos Θ=26/ $\sqrt{1352}$

cos Θ=26/26.77

cos Θ=0.7070

Θ= $cos^{-1}$ (0.707)

Θ=45.008

Approximately 45°.

Hence if the vectors are 4i-6j and -i-5j then the angle between both the vectors is approximately 45°.

Learn more about vectors at brainly.com/question/25705666

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3 0

2 years ago

Use the circles below to find the Greatest<br>Common Factor (G.C.F.) of 72 and 64

KengaRu [80]

Answer:

Step-by-step explanation:

First find all factors of 72 and 64 and put them in their respective circles

The factors of 72: 1,2,3,4,6,8,9,12,18,24,36,72

The factors of 64: 1,2,4,8,16,32,64

Now find the factors that both numbers share.

Common factors: 1,2,4,8

The greatest common factor of 72 and 64 is 8.

3 0

4 years ago

PLEASE HELP ASAP NO LINKS OR WILL BE REPORTED! 1. In the figure below, a line intersects two parallel lines. Fill in the missing

zalisa [80]

Answer:

<a=138°

<b=42°

<c=138°

<d=138°

<e=42°

<f=42°

Step-by-step explanation:

<a is supplementary with the 42° angle:

<a=180°-42°=138°

<b and the 42° are vertical angles, so:

<b=42°

<c and <a are also vertical angles so:

<c=<a=138°

<d and <a are corresponding angles, so:

<d=<a=138°

<e and <b are corresponding angles, so:

<e=<b=42°

<f and the 42° angle are corresponding angles, so:

<f=42°

<g and <c are corresponding angles, so:

<g=<c=138°

6 0

3 years ago