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aalyn [17]
3 years ago
5

Calculate the cost for camping and the cost per night

Mathematics
1 answer:
cluponka [151]3 years ago
8 0
Rounded: 35.04

non rounded: 35.03
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Need help with homework
motikmotik

We have two points describing the diameter of a circumference, these are:

\begin{gathered} A=(-12,-4) \\ B=(-4,-10) \end{gathered}

Recall that the equation for the standard form of a circle is:

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

Where (h,k) is the coordinate of the center of the circle, to find this coordinate, we find the midpoint of the diameter, that is, the midpoint between points A and B.

For this we use the following equation:

M=(\frac{x_1+x_2_{}_{}}{2},\frac{y_1+y_2}{2})

Now, we replace and solve:

\begin{gathered} M=(\frac{-12+(-4)}{2},\frac{-4+(-10)}{2} \\ M=(\frac{-12-4}{2},\frac{-4-10}{2}) \\ M=(\frac{-16}{2},\frac{-14}{2}) \\ M=(-8,-7) \end{gathered}

The center of the circle is (-8,-7), so:

\begin{gathered} h=-8 \\ k=-7 \end{gathered}

On the other hand, we must find the radius of the circle, remember that the radius of a circle goes from the center of the circumference to a point on its arc, for this we use the following equation:

r^2=\Delta x^2+\Delta y^2

In this case, we will solve the delta with the center coordinate and the B coordinate.

\begin{gathered} r^2=((-4)-(-8))^2+((-10)-(-7)) \\ r^2=(-4+8)^2+(-10+7)^2 \\ r^2=4^2+(-3)^2 \\ r^2=16+9 \\ r^2=25 \\ r=5 \end{gathered}

Therefore, the equation for the standard form of a circle is:

\begin{gathered} (x-(-8))^2+(y-(-7))^2=25 \\ (x+8)^2+(y+7)^2=25 \end{gathered}

In conclusion, the equation is the following:

(x+8)^2+(y+7)^2=25

4 0
1 year ago
The square of a number is 15 more than 2 times the number
UkoKoshka [18]

x^2 = 2x + 15

x^2 -2x - 15 = 0

Factor:

(x-5)(x+3) = 0

x = 5 or x = -3

3 0
3 years ago
What are data sorted into before they are plot as a histogram
Olin [163]

Answer:

use google lol

use google lol

8 0
3 years ago
Solve the equation when x=40. This will show the ball’s height, in feet, when it reaches the goal post. Y=-0.1x^2+4x
maks197457 [2]

Answer:

0

Step-by-step explanation:

-0.1(40)^2+4(40)

-160+160

0

6 0
3 years ago
Read 2 more answers
A sculpture is 67 centimeters tall. What is the helght of the sculpture in millimeters? ​
Ahat [919]

Answer:

679 mm

Step-by-step explanation:

1 cm=10 mm

so 67=670

6 0
2 years ago
Read 2 more answers
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