Ask question

Ask question

All categories

2 years ago

7

Which equation represents a circle that contains the point (–5, –3) and has a center at (–2, 1)? Distance formula: StartRoot (x

2 minus x 1) squared + (y 2 minus y 1) squared EndRoot

2 answers:

pshichka [43]2 years ago

8 0

Answer:

The equation of the circle is $(x+2)^2+(y-1)^2=25$

Step-by-step explanation:

we know that

The equation of a circle in standard form is equal to

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

where

(h,k) is the center

r is the radius

step 1

Find the radius of the circle

The radius of the circle is equal to the distance from the center to any point on the circle

we have

(–5, –3) and (–2, 1)

Find the distance

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

substitute

$r=\sqrt{(1+3)^{2}+(-2+5)^{2}}$

$r=\sqrt{(4)^{2}+(3)^{2}}$

$r=\sqrt{25}$

$r=5\ units$

step 2

Find the equation of the circle

we have

$r=5\ units$

$(h,k)=(-2,1)$

substitute

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

$(x+2)^2+(y-1)^2=5^2$

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

therefore

The equation of the circle is $(x+2)^2+(y-1)^2=25$

Rudiy272 years ago

8 0

Answer:

(x + 2) 2 + (y – 1) 2 = 25

Step-by-step explanation:

I took it on the edg test and got it right!!

You might be interested in

Nick found the quotient of 8.64 and 1.25 × 105. His work is shown below. 1. (8.64 × 101) (1.25 × 105) 2. (8.64 1.25 ) (101 105 )

Savatey [412]

Answer:

B.) No, the power multiplied to 8.64 should have an exponent of 0.

Step-by-step explanation:

took the test on Edgenuity and got it right! Hope this helps and please mark brainliest if can.

4 0

2 years ago

Read 2 more answers

a ball is thrown with a slingshot at a velocity of 110ft/sec at an angle of 20 degrees above the ground from a height of 4.5 ft.

satela [25.4K]

Answer:

$t=2.47\ s$

Step-by-step explanation:

The equation that models the height of the ball in feet as a function of time is

$h(t) = h_0 + s_0t -16t ^ 2$

Where $h_0$ is the initial height, $s_0$ is the initial velocity and t is the time in seconds.

We know that the initial height is:

$h_0 = 4.5\ ft$

The initial speed is:

$s_0 = 110sin(20\°)\\\\s_0 = 37.62\ ft/s$

So the equation is:

$h (t) = 4.5 + 37.62t -16t ^ 2$

The ball hits the ground when when $h(t) = 0$

So

$4.5 + 37.62t -16t ^ 2 = 0$

We use the quadratic formula to solve the equation for t

For a quadratic equation of the form

$at^2 +bt + c$

The quadratic formula is:

$t=\frac{-b\±\sqrt{b^2 -4ac}}{2a}$

In this case

$a= -16\\\\b=37.62\\\\c=4.5$

Therefore

$t=\frac{-37.62\±\sqrt{(37.62)^2 -4(-16)(4.5)}}{2(-16)}$

$t_1=-0.114\ s\\\\t_2=2.47\ s$

We take the positive solution.

Finally the ball takes 2.47 seconds to touch the ground

4 0

2 years ago

An uncooked gingerbread cookie is y centimeters long. After it is baked, the length of the

marusya05 [52]

Answer:

I think the answer is C

Step-by-step explanation:

If you have a normal ginger bread cookie, its full size would be 100%. So, if you add the first 25%, 1.25%

3 0

2 years ago

Read 2 more answers

The closing price (in dollars) per share of stock of tempco electronics on the tth day it was traded is approximated by p(t) = 2

Vaselesa [24]

solution:

The closing price (in dollars) per share of stock of Tempco Electronics on the tth day it was

traded is approximated by

P(t) = 20 + 12 sin πt/30 − 6 sin πt/15 + 4 sin πt/10 − 3 sin 2πt/15 (0 ≤ t ≤ 24)

where t = 0 corresponds to the time the stock was first listed on a major stock exchange.

What was the rate of change of the stock's price at the close of the 15th day of trading?

P'(t) = 12(cos πt/30) - 6 (cos πt/15) + 4(cos πt/10) - 3(cos 2πt/15)

t = 15

P'(t) = 12(cos 15π/30) - 6 (cos 15π/15) + 4(cos 15π/10) - 3(cos 30π/15)

P'(t) = 12(cos π/2) - 6 (cos π) + 4(cos 3π/2) - 3(cos 2π)

P'(t) = 12(0) - 6(-1) + 4(0) - 3(1) = 6 - 3

P'(t) = $3 per day RATE OF CHANGE

the closing price on that day

P(t) = 20 + 12 sin πt/30 − 6 sin πt/15 + 4 sin πt/10 − 3 sin 2πt/15

t = 15

P(t) = 20 + 12 sin 15π/30 − 6 sin 15π/15 + 4 sin 15π/10 − 3 sin 30πt/15

P(t) = 20 + 12 sin π/2 − 6 sin π + 4 sin 3π/2 − 3 sin 2π

P(t) = 20 + 12(1) − 6(0) + 4(-1) − 3(0) = 20 + 12 - 0 - 4 - 0 = 20 + 12 - 4

P(t) = $28 per share close price

4 0

2 years ago

Peter mixes 4 1/2 cups of orange juice, 1 1/3 cups of ginger ale, and 6 1/3 cups of strawberry lemonade to make some punch. What

ella [17]

Just add them all:(FYI, I first converted all the mixed fraction to improper)
11/3+19/3= 30/3+9/2
Now take out the LCM,
60/6+27/6= 87/6
Hence, the total number of cups that peter makes is 87/6

3 0

2 years ago

Read 2 more answers