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RoseWind [281]
3 years ago
9

Pls help asap! Due in 5 minutes!!! Pls

Mathematics
1 answer:
skelet666 [1.2K]3 years ago
5 0

Answer: The value of X is 26.

Explanation: The explanation is in the image.

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The circle passes through the point (−2, 3) with a center of (-4,6). What is its radius?
Ganezh [65]

Answer:

<u>radius = √13</u>

Step-by-step explanation:

Forming the equation :

<u>(x - h)² + (y - k)² = r²</u>

  • (x, y) = point on circle
  • (h, k) = center of circle
  • r = radius

Solving :

  • (-2 + 4)² + (3 - 6)² = r²
  • r² = 4 + 9
  • <u>radius = √13</u>
7 0
2 years ago
HELP i’m having trouble with my homework assignments
Aleksandr-060686 [28]

Answer:

Collin: about $401 thousand

Cameron: about $689 thousand

Step-by-step explanation:

A situation in which doubling time is constant is a situation that can be modeled by an exponential function. Here, you're given an exponential function, though you're not told what the variables mean. That function is ...

P(t)=P_0(2^{t/d})

In this context, P0 is the initial salary, t is years, and d is the doubling time in years. The function gives P(t), the salary after t years. In this problem, the value of t we're concerned with is the difference between age 22 and age 65, that is, 43 years.

In Collin's case, we have ...

P0 = 55,000, t = 43, d = 15

so his salary at retirement is ...

P(43) = $55,000(2^(43/15)) ≈ $401,157.89

In Cameron's case, we have ...

P0 = 35,000, t = 43, d = 10

so his salary at retirement is ...

P(43) = $35,000(2^(43/10)) ≈ $689,440.87

___

Sometimes we like to see these equations in a form with "e" as the base of the exponential. That form is ...

P(t)=P_{0}e^{kt}

If we compare this equation to the one above, we find the growth factors to be ...

2^(t/d) = e^(kt)

Factoring out the exponent of t, we find ...

(2^(1/d))^t = (e^k)^t

That is, ...

2^(1/d) = e^k . . . . . match the bases of the exponential terms

(1/d)ln(2) = k . . . . . take the natural log of both sides

So, in Collin's case, the equation for his salary growth is

k = ln(2)/15 ≈ 0.046210

P(t) = 55,000e^(0.046210t)

and in Cameron's case, ...

k = ln(2)/10 ≈ 0.069315

P(t) = 35,000e^(0.069315t)

5 0
3 years ago
A balloon was release and went straight up 3 miles and then the wind blew it 6 miles east. What is the balloon's diagonal back t
mihalych1998 [28]
Don’t know sorry about that
8 0
3 years ago
The diameter of a circle is 2 meters. What is the area?<br> Exact answer in simplest form
kow [346]

Answer:

22/7

Step-by-step explanation:

Diameter is 2m

we know,

radius= Diameter/2

r = d/2

r = 2/2

r = 1

Now,

area of circle= πr^2

22/7 * 1^2

22/7 ....... answer

7 0
3 years ago
Read 2 more answers
What is the midpoint of the line segment with endpoints (1,-6) and (-3,4)
N76 [4]

Answer:

The midpoint is (-1,-1)

Step-by-step explanation:

To find the x coordinate of the midpoint, add the x coordinates and divide by 2

(1+-3)/2 = -2/2 =-1

To find the y coordinate of the midpoint, add the y coordinates and divide by 2

(-6+4)/2 = -2/2 = -1

The midpoint is (-1,-1)

8 0
3 years ago
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