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melisa1 [442]
3 years ago
11

a car can travel 19.6 miles for every 1 gallon of gasoline. calculate the number of miles the car can travel on 13.8 gallons of

gas
Mathematics
1 answer:
lord [1]3 years ago
6 0
I believe it 270.48 miles. 
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PLEASE HELP!!! 15 PTS!!
kherson [118]

Answer:

\large\boxed{C.\ (2,\ -45^o)}

Step-by-step explanation:

Regular coordinates (x, y)

Polar coordinates (r, φ)

r=\sqrt{x^2+y^2}\\\\\psi=\arctan\frac{y}{x}

We have the point

(\sqrt2,\ -\sqrt2)

Substitute:

r=\sqrt{(\sqrt2)^2+(-\sqrt2)^2}=\sqrt{2+2}=\sqrt4=2\\\\\psi=\arctan\left(\frac{-\sqrt2}{\sqrt2}\right)=\arctan(-1)=-45^o

6 0
3 years ago
Which of the following statements describes the process for solving 4x ≥ -24?
dezoksy [38]
Divide both sides of the inequality by 4 but don’t flip the symbol.

You only flip the inequality symbol if you divide by a negative number.

If you’re solving for x (which you are), you want to get x by itself. The only way to do that is to divide by 4.
4 0
3 years ago
Can someone help me :(
White raven [17]

Answer:

19 ft.

Step-by-step explanation:

Pytahgorean theorm. A^2 + B ^2 = C^2

49 + 100 = 149

Square root the 149, which is ~12

That means the hypotenuse is twelve feet, and with the base of the pole being seven, the pole was originally 19 feet tall.

4 0
3 years ago
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8_murik_8 [283]

Answer:

what does slope mean?

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3 years ago
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Find the equation of the circle with a diameter whose end points are (-1,-2) and (-3,2)
Sergeeva-Olga [200]

Answer:

The equation of the circle with a diameter whose end points are (-1,-2) and (-3,2) is

x^{2} +y^{2}+4x-1=0

Step-by-step explanation:

<u>Explanation:</u>-

<u>Step 1:</u>-

The equation of the circle having center and radius is

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

here center is (h,k) and radius is r

Given diameter whose end points are (-1,-2) and (-3,2)

The diameter of the circle is passing through the center of the circle

so center of the circle = midpoint of two end points

      (\frac{-1 +(-3) }{2} ,\frac{-2+2 }{2}  )

    (-2,0)

therefore center (h,k) = (-2,0)

<u>Step 2:-</u>

we have to find the radius of the circle

the radius of the circle = the distance from center to the one end point

i.e., C P = r

Given one end point is P(-3,2) and center C(-2,0)

The distance formula of two points are

\sqrt{(x_{2}-x_{1} ) ^{2}+ (y_{2}-y_{1} ) ^{2}}

r=\sqrt{{(-3)-(-1) ) ^{2}+ (2-(-2)) ^{2}}

r=\sqrt{5}

<u>Step 3</u>:-

center (h,k) = (-2,0) and

radius r=\sqrt{5}

The standard form of circle equation

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

(x-(-2))^2+(y-0)^2=\sqrt{5} ^2

on simplification is

x^{2} +y^{2}+4 x-1=0

5 0
3 years ago
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