Under typical conditions, 0.5 feet of snow will melt 2 inches of water. to how many inches of water will 6.5 of snow melt

Find the equation of the circle with a diameter whose end points are (-1,-2) and (-3,2)

Sergeeva-Olga [200]

Answer:

The equation of the circle with a diameter whose end points are (-1,-2) and (-3,2) is

$x^{2} +y^{2}+4x-1=0$

Step-by-step explanation:

Explanation:-

Step 1:-

The equation of the circle having center and radius is

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

here center is (h,k) and radius is r

Given diameter whose end points are (-1,-2) and (-3,2)

The diameter of the circle is passing through the center of the circle

so center of the circle = midpoint of two end points

$(\frac{-1 +(-3) }{2} ,\frac{-2+2 }{2} )$

$(-2,0)$

therefore center (h,k) = (-2,0)

Step 2:-

we have to find the radius of the circle

the radius of the circle = the distance from center to the one end point

i.e., C P = r

Given one end point is P(-3,2) and center C(-2,0)

The distance formula of two points are

$\sqrt{(x_{2}-x_{1} ) ^{2}+ (y_{2}-y_{1} ) ^{2}}$

$r=\sqrt{{(-3)-(-1) ) ^{2}+ (2-(-2)) ^{2}}$

$r=\sqrt{5}$

Step 3:-

center (h,k) = (-2,0) and

radius $r=\sqrt{5}$

The standard form of circle equation

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

$(x-(-2))^2+(y-0)^2=\sqrt{5} ^2$

on simplification is

$x^{2} +y^{2}+4 x-1=0$

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3 years ago

Help! How to get over a huge crush

Iteru [2.4K]

Answer:

there are cute boys on Tik-tok or you can try and think about something happy

Step-by-step explanation:

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3 years ago

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Jamie is hiking up a small mountain. He climbs up at a constant rate of 300 feet/hour until he reaches the peak at 1,500 feet. A

alex41 [277]

Answer: I need help! :(

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3 years ago

Use the information to answer the following question.

trasher [3.6K]

Answer:

D is the answer

Step-by-step explanation:

For a: g(x) = 1 when x = 1, for f(x) 1^2 - 2(1) + 2 = 1, a is true.

For b: Both functions do have all real numbers for their domain, b is true

For c: the y-intercept of g(x) is x = 0, for f(x), it is 0^2 - 2(0) + 2 = 2, c is true

For d: g(3) = 7, f(3) = 3^2 - 2(3) + 2 = 5, d is false.

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3 years ago

A customer deposits $500 in an account that pays 4% annual interest. What is the balance after 3 years if the interest is compou

SIZIF [17.4K]

Answer:

Option D

Step-by-step explanation:

The compounded interes formula states that:

V(t) = P (1 + r/n)^ (nt)

t = years since initial deposit = 3

n = number of times compounded per year 1

r = annual interest rate (as a decimal) = 4% / 100 = 0.04

P = initial (principal) investment = $500

Then V(t) = $500 ( 1 + 0.04/1)^3 = 562,43

So the correct answer is option D.

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3 years ago

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