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Daniel [21]
3 years ago
15

Ted researched the price of airline tickets and discovered a correlation between the price of a ticket and the number of miles t

raveled. After recording his data on a scatter plot, he determined the equation for the line of best fit is y = 300 + 0.45x. What does 0.45 represent in the equation?
Mathematics
2 answers:
trasher [3.6K]3 years ago
7 0

<u>Answer</u>

The slope of the equation.


<u>Explanation</u>

The general equation of line is y = mx + c, where (x,y) is a point on the line, m is the slope and c is the y-intercept.

When the line is in the equation above, we can explain the meaning of each term.

After recording the  data plotting the line, Ted came up with the equation;

y = 300 + 0.45x.

Writing this in the form of y = mx + c we have,

y = 0.45x + 300.

m = 0.45 ⇒ This is the slope of the equation.

guajiro [1.7K]3 years ago
6 0
.45 represents a positive slope... if you are using usatestprep it should be D
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x ≥ -6

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D-1/2=5/12 what is d??
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d = \frac{11}{12}

Step-by-step explanation:

1) To solve for d, isolate it in the equation. So, to get rid of the -\frac{1}{2} with the d, add \frac{1}{2} to both sides.

d-\frac{1}{2}  = \frac{5}{12} \\d - \frac{1}{2} +\frac{1}{2} = \frac{5}{12} + \frac{6}{12} \\d = \frac{11}{12}

Thus, d = \frac{11}{12}.

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5:1

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Originally the ratio is 20:4

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You start at (2, -4). You move up 4 units. Where do you end?​
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(2, 0)

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7 0
3 years ago
If the endpoints of the diameter of a circle are (−8, −6) and (−4, −14), what is the standard form equation of the circle? A) (x
Andrei [34K]

Answer:

\large\boxed{A.\ (x+6)^2+(y+10)^2=20}

Step-by-step explanation:

The standard form of an equation of a circle:

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

(h, k) - center

r - radius

We have the endpoints of the diameter of a circle (-8, -6) and (-4, -14).

The midpoint of a diameter is a center of a circle.

The formula of a midpoint:

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

Substitute:

x=\dfrac{-8+(-4)}{2}=\dfrac{-12}{2}=-6\\\\y=\dfrac{-6+(-14)}{2}=\dfrac{-20}{2}=-10

We have h = -6 and k = -10.

The radius is the distance between a center and the point on a circumference of a circle.

The formula of a distance between two points:

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

Substitute (-6, -10) and (-8, -6):

r=\sqrt{(-8-(-6))^2+(-6-(-10))^2}=\sqrt{(-2)^2+4^2}=\sqrt{4+16}=\sqrt{20}

Finally we have

(x-(-6))^2+(y-(-10))^2=(\sqrt{20})^2\\\\(x+6)^2+(y+10)^2=20

5 0
3 years ago
Read 2 more answers
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