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Westkost [7]
3 years ago
9

your base salary is $8.00. For every bag of trash you to take out you get $2.00. A. write an equation to represent how much mone

y you can make? B. If you take out 12 bags of trash how money do you make?
Mathematics
1 answer:
Komok [63]3 years ago
8 0
A. 8+2x= total B. 8+2(12)= $32
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write the standard form of the equation of the circle for which the endpoints of a diameter are (0,0) and (4,-6)
Elenna [48]

Given:

The endpoints of a diameter are (0,0) and (4,-6).

To find:

The equation of the circle.

Solution:

The endpoints of a diameter are (0,0) and (4,-6). So, the length of the diameter is

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

d=\sqrt{(-6-0)^2+(4-0)^2}

d=\sqrt{36+16}

d=\sqrt{52}

d=2\sqrt{13}

Now, radius is half of the diameter.

r=\dfrac{2\sqrt{13}}{2}

r=\sqrt{13}

Center of the circle is the midpoint of the endpoints of a diameter.

Center=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)

Center=\left(\dfrac{0+4}{2},\dfrac{0+(-6)}{2}\right)

Center=\left(\dfrac{4}{2},\dfrac{-6}{2}\right)

Center=\left(2,-3\right)

Standard form of a circle is

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

where, (h,k) is center and r is radius.

The center of the circle is (2,-3) and radius is \sqrt{13}. So,

(x-2)^2+(y-(-3))^2=(\sqrt{13})^2

(x-2)^2+(y+3)^2=13

Therefore, the standard form of the circle is (x-2)^2+(y+3)^2=13.

5 0
3 years ago
The residual plot for a data set is shown.
BaLLatris [955]
The correct answer is: <span>D. The regression line is not a good model because the points in the residual plot form a curve.  (i know this because i just passed the test ;) )</span>
5 0
4 years ago
Read 2 more answers
For which value of x does f(x) = 2
laila [671]

Answer:

<h2>x = -4</h2>

Step-by-step explanation:

<em>Look a the picture</em>.

Draw the horizontal line <em>y = 2</em>.

Common point: (-4, 2).

Conclusion: f(x) = 2 → x = -4

8 0
3 years ago
A square sheet of rubber has sides that are 20 cm long. What is the area of the square of rubber in cm squared?
adoni [48]

Answer:

area \:  = side \times side \\ area = 20 \times 20 \\ area = 400 \:  {cm}^{2}

8 0
3 years ago
Read 2 more answers
Question 14. A carousel makes one complete revolution every 75 seconds. Levi sits on the carousel 4 feet from its center. If the
garik1379 [7]

Answer:

The correct option is;

H. 32·π

Step-by-step explanation:

The given information are;

The time duration for one complete revolution = 75 seconds

The distance from the center of the carousel where Levi sits = 4 feet

The time length of a carousel ride = 5 minutes

Therefore, the number of complete revolutions, n, in a carousel ride of 5 minutes is given by n = (The time length of a carousel ride)/(The time duration for one complete revolution)

n = (5 minutes)/(75 seconds) = (5×60 seconds/minute)/(75 seconds)

n = (300 s)/(75 s) = 4  

The number of complete revolutions - 4

The distance of 4 complete turns from where Levi seats = 4 ×circumference of circle of Levi's motion

∴ The distance of 4 complete turns from where Levi seats = 4 × 2 × π × 4 = 32·π.

3 0
3 years ago
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