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3 years ago

135 miles on 4 gallons of gas

Mathematics

2 answers:

victus00 [196]3 years ago

5 0

You get the answer by dividing 135 by 4
So the answer is 33.3

8_murik_8 [283]3 years ago

3 0

To find out how many miles 1 gallon of gas uses we will divide.

135 ÷ 4 = <span>33.75

Check our work:-

33.75 </span>× 4 = 135

So, <span>33.75 miles per gallon.

Hope I helped ya!!</span>

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If (8, −9) and (6, −3) are the endpoints of the diameter of a circle, what is the equation of the circle?

Umnica [9.8K]

$(x-7)^{2} + (y+6)^{2} = 10$ is the equation of the required circle.

Step-by-step explanation:

Step 1 :

Let A = (8,-9) and B = (6,-3) be the endpoints of the diameter of the given circle.

We need to determine the circle's equation with this diameter

Step 2 :

The mid point of the diameter will be center of the required circle.

Let M = (x,y) be the mid point of the circle.

So we have x = (8+6)÷ 2 , y = ((-9) + (-3)) ÷ 2

M = ( 7, -6) is the midpoint of the diameter and the center of the circle.

Step 3 :

The radius of the circle is distance between midpoint and any one of the end point of the diameter that is distance between point A(8,-9) and M ( 7,-6)

Distance between the 2 points $(x_{1} ,y_{1}) and (x_{2} ,y_{2})$ is given by

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

So distance between A(8,-9) and M ( 7,-6) = $\sqrt{(7-8)^{2}+ (-6-(-9))^{2} }$

= $\sqrt{(1)^{2}+ (3)^{2} } = \sqrt{10 }$

Hence the radius r is $\sqrt{10}$

Step 4 :

The equation of circle with center (a,b) = (7,-6) and radius r = $\sqrt{10}$ is given by

$(x-a)^{2} + (y-b)^{2} = r^{2}$

=> $(x-7)^{2} + (y-(-6))^{2} = (\sqrt{10} )^{2}$

=> $(x-7)^{2} + (y+6)^{2} = 10$ is equation of the required circle.

Step 5 :

Answer :

$(x-7)^{2} + (y+6)^{2} = 10$ is equation of the required circle.

7 0

3 years ago

Help me solve this logical question.

GREYUIT [131]

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4 0

3 years ago

I just need a confirmation that my answer is right? Find side AC. Round to the nearest hundredth.

hjlf

Your procedure is perfect, you're fine, however, bear in mind that, in a calculator when plugging in values for some functions, specially trigonometric ones, if you tell it cos(40), and the calculator is in Radian mode, it thinks you meant cosine of 40 radian units, if you give it cos(40) and it's in Degree mode, it thinks you meant 40°, and 40 radians is hugely different than 40°.

so, make sure your calculator is in Degree mode, as you'd have guessed, it isn't.

5 0

3 years ago

I need m and b help please

nirvana33 [79]

It took me awhile but I got it

m= -2/7
b=5 5/7

or

y=-2/7x+5 5/7

6 0

3 years ago

Read 2 more answers

Which decimal is equivalent to 3 1/8

levacccp [35]

Answer:

3.125