Connor drove 340 miles on 8 gallons of gas. How many miles did his car travel per gallon of gas?

PLEASE HELP ME WITH THESE QUESTIONS!!

Varvara68 [4.7K]

Answer:

3. [1, −2]

2. [−3, 3]

1. [−7, 10]

Step-by-step explanation:

3.

{7⁄2x - ½y = 9⁄2

{3x - y = 5

-6⁄7[7⁄2x - ½y = 9⁄2]

{−3x + 3⁄7y = −3 6⁄7 >> New Equation

{3x - y = 5

_________________

-4⁄7y = 1 1⁄7

-2 = y [Plug this back into both equations above to get the x-coordinate of 1]; 1 = x

__________________________________________________________

2.

{−3x + 9y = 36

{4x + 12y = 24

¾[4x + 12y = 24]

{−3x + 9y = 36

{3x + 9y = 18

______________

18y = 54

___ ___

18 18

y = 3 [Plug this back into both equations above to get the x-coordinate of −3]; −3 = x

__________________________________________________________

1.

{4x − y = −38

{x + y = 3

_____________

5x = -35

___ ____

5 5

x = -7 [Plug this back into both equations above to get the y-coordinate of 10]; 10 = y

I am joyous to assist you anytime.

3 0

4 years ago

The angle of elevation to the top of a skyscraper is measured to be 2° from a point on the ground 1 mile from the building. How

Nadusha1986 [10]

See picture below for a geometric view.

Let x = height of building

We use basic trigonometry to find x.

The tangent function = opposite side of right triangle OVER adjacent side of right triangle.

tan(2°) = x/1

Solve for x.

After multiplying both sides by 1 (here 1 represents 1 mile), we get

tan(2°) = x.

We now use the calculator to find x.

In fact, you can take it from here. Use your calculator.

3 0

3 years ago

575 394 9550 bFzN0S come study with me!

Molodets [167]

Answer:

need points

Step-by-step explanation:

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5 0

3 years ago

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:

Explanation:-

Step 1:-

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)

Step 2:-

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

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

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

$r=\sqrt{5}$

Step 3:-

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

Please help with my math problem. What's 3+2? 10 points.

zhuklara [117]

Answer:

5

Step-by-step explanation:

3 0

3 years ago

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