His car gets 21 mpg (miles per gallon). With 1 gallon he can drive 21 miles. For example, with 10 gallons, he can drive 21 mpg * 10 gal = 210 miles.
He bought $19.50 worth of gas at $1.40 per gallon.
$19.50 / ($1.40/gal) = 13.93 gal
He already had 5 gal of gas in his tanks, so now he has
5 gal + 13.93 gal = 18.93 gal
With 18.93 gal, he can drive
18.93 gal * 21 mpg = 292.5 miles
Answer:
see below
Step-by-step explanation:
We assume you want the graph of ...

A graphing calculator or spreadsheet is useful for this.
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You know cos(θ) = cos(-θ), so the graph is symmetrical about the x-axis. You can evaluate the function at a few points to find the general outline.
r at 0° = 8
r at 30° ≈ 7.05
r at 45° ≈ 6.19
r at 60° ≈ 5.33
r at 90° = 4
r at 120° = 3.2
r at 135° ≈ 2.96
r at 150° ≈ 2.79
r at 180° ≈ 2.67
50*40*80=160000 to find the total square feet
then you divide 160000/500 to figure out the total amount of gallons of paint you need
you need 320 gallons of paint
Given,
The coordinates of the point on the circle is (-4, -2).
The coordinates of the center of the circle is (-8, -10).
Reuired
The length of the center of the circle.
By using the distance formula, the radius of the circle can be calculated.
The distance formula is,

Substituting the value of the coordinates of the points,
![\begin{gathered} Distance=\sqrt{(-10-(-2))^2+(-8-(-4))^2} \\ =\sqrt{(-10+2)^2+(-8+4)^2} \\ =\sqrt{(-8)^2+(-4)^2} \\ =\sqrt{64+16} \\ =\sqrt{80} \\ =\sqrt{4\times4\times5} \\ =4\sqrt[]{5} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20Distance%3D%5Csqrt%7B%28-10-%28-2%29%29%5E2%2B%28-8-%28-4%29%29%5E2%7D%20%5C%5C%20%3D%5Csqrt%7B%28-10%2B2%29%5E2%2B%28-8%2B4%29%5E2%7D%20%5C%5C%20%3D%5Csqrt%7B%28-8%29%5E2%2B%28-4%29%5E2%7D%20%5C%5C%20%3D%5Csqrt%7B64%2B16%7D%20%5C%5C%20%3D%5Csqrt%7B80%7D%20%5C%5C%20%3D%5Csqrt%7B4%5Ctimes4%5Ctimes5%7D%20%5C%5C%20%3D4%5Csqrt%5B%5D%7B5%7D%20%5Cend%7Bgathered%7D)
Hence,
I think the equation is y= -1/3x+1. The slope is going down, so it’s negative. And the y intercept is 1. And how I got a fraction is by using rise/run.