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timurjin [86]
3 years ago
11

A car Travel 476 miles on 14 gallons of gas. Write an eqation relating the distance d to the nuber of gallons

Mathematics
1 answer:
Klio2033 [76]3 years ago
3 0
476miles per 14gallons of gas

is the same as 476 / 14 = 34

so 34miles / 1gallon of gas.

34x =578 where x is the number of gallons

578 / 34 = 17gallons
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The teacher paid $12 for 6 pounds of candy. Which statement is true about her unit<br> rate?
Hunter-Best [27]

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For every pound of candy, the teacher spent $2

Step-by-step explanation:

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An object is launched from a platform.
Bess [88]

Answer:

60 feet

Step-by-step explanation:

The height, h (in meters), of the object launched from a platform is represented by the equation

h=h(x)=-5x^2+20x+60

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The time of launch is x=0 (0 seconds passed after the launch)

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h=h(0)=-5\cdot 0^2+20\cdot 0+60=60\ feet

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3 years ago
Write the equation of the ellipse with foci at (-2,2) and (4,2) and major axis of length 10 *
Luda [366]

Answer:

The answer to your question is   \frac{(x - 1)^{2}}{25} + \frac{(y - 2)^{2}}{16} = 1          

Step-by-step explanation:

Data

Foci  (-2, 2)  (4, 2)

Major axis = 10

Process

1.- Plot the foci to determine if the ellipse is vertical or horizontal. See the picture below.

From the graph we conclude that it is a horizontal ellipse.

2.- Determine the foci axis (distance between the foci)

                  2c = 6

                    c = 6/2

                    c = 3

3.- Determine a

                  2a = 10

                    a = 10/2

                    a = 5

4.- Determine b using the Pythagorean theorem

                   a² = b² + c²

-Solve for b

                   b² = a² - c²

                   b² = 5² - 3²

                   b² = 25 - 9

                   b² = 16

                   b = 4

5.- Find the center (1, 2)  From the graph, it is in the middle of the foci

6.- Find the equation of the ellipse

                      \frac{(x - 1)^{2}}{5^{2}} + \frac{(y - 2)^{2}}{4^{2}} = 1

                       \frac{(x - 1)^{2}}{25} + \frac{(y - 2)^{2}}{16} = 1                

3 0
3 years ago
I know y= 40 but what is x ?
puteri [66]

Answer:

x = 67; y = 40

Step-by-step explanation:

You are correct with y. Angles y + 23 and 63 are vertical, so they are congruent. That gives you y + 23 = 63, which gives y = 40.

To find x, look at angles 2x - 17 and 63.

They are adjacent angles whose outside rays lie on a line. Angles like these are called a linear pair, and they are supplementary. That means their measures add up to 180 deg.

2x - 17 + 63 = 180

2x + 46 = 180

2x = 134

x = 67

6 0
3 years ago
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