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3 years ago

Write the equation of each circle given its center and a point P that it passes through

Mathematics

2 answers:

Sedbober [7]3 years ago

8 0

Answer:

$(x-1)^2+(y+2)^2=25.$

Step-by-step explanation:

If the center of the circle is (1,-2) and the circle passes through the point (4,2), then the radius of the circle is

$r=\sqrt{(1-4)^2+(-2-2)^2}=\sqrt{9+16}=5.$

The equation of the circle with center $(x_0,y_0)$ and radius r is

$(x-x_0)^2+(y-y_0)^2=r^2.$

In your case, the equation is

$(x-1)^2+(y+2)^2=25.$

hodyreva [135]3 years ago

6 0

Answer:

(x-1)²+ (y+2)² = 25 is the equation of circle.

Step-by-step explanation:

We have given the center (1,-2) and a point P (4,2) from which the circle is passes.

So, the radius of the circle is :

$r = \sqrt{(4-1)^{2}+(2-(-2))^{2}}=\sqrt{25}=5$

The equation of circle is :

(x - x₁)² +(y - y₁)² = r² where (x₁,y₁) is the center of circle.

Putting the value in above equation we get,

(x-1)²+(y-(-2))² = (5)²

(x-1)²+ (y+2)² = 25 is the equation of circle.

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Eight out of 21 instruments in the band are wood winds. if there are 63 instruments in the band, how many more are not wood wind

egoroff_w [7]

Im assuming it would be 60 or 60.375(Work below)

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3 years ago

What is the domain and range for the following function and its inverse? f(x) = -x + 5

iren2701 [21]

Answer:

Domain: $\mathbb{R}$

Inverse: $f^{-1}(x) = -x + 5$

Step-by-step explanation:

Since this is a linear function, the domain and range is simply the set of real numbers.

The inverse is obtain by switching the places of x and y, then solving for y.

Here,

y = -x + 5

So switching x and y,

x = -y + 5

Solving for y again,

y = -x + 5

Thus,

$f^{-1}(x) = -x + 5$

5 0

4 years ago

Read 2 more answers

GRAVITY The height above the ground of a ball thrown up with a velocity of 96 feet per second from a height of 6 feet is 6+96t-1

Nata [24]

Here the time function is h(t) = [6 + 96t - 16t^2] feet.

The initial height of the ball is 6 feet. That's when t=0. h(0)=[6+0-0] ft = 6 ft.

At t=7 sec, h(t) = [6 + 96t - 16t^2] feet becomes
h(7 sec) = h(t) = [6 + 96(7) - 16(7)^2] feet This produces a large negative number (-106 ft), which in theory indicates that the ball has fallen to earth and burrowed 106 feet into the soil. Doesn't make sense.

Instead, let t=1 sec. Then h(1 sec) = h(t) = [6 + 96(1) - 16(1)^2] feet
=[6 + 96 -16] ft, or 86 ft.

One sec after the ball is thrown upward, it reaches a height of 86 feet. It continues to rise, slowing down, until it finally stops for an instant and then begins to fall towards earth.

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3 years ago

Y = (x) = (1/16)^x<br> Find f(x) when x = (1/4)

Naddik [55]

Answer:

1/2

Step-by-step explanation:

(1/16)^x

Let x = 1/4

(1/16)^ 1/4

Rewriting 16 as 2^4

(1/2^4)^ 1/4

We know that 1 / a^b = a^-b

(2 ^ -4)^ 1/4

We know that a^b^c = a^(b*c)

2^(-4*1/4)

2^-1

We know that a^-b = 1/ a^b

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3 years ago

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borishaifa [10]

Answer:

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3 years ago