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uranmaximum [27]

3 years ago

14

Evan's odometer reads 44,965.3 miles. His car is four years old. On average, how many miles does Evan drive each year? Round you

r answer to the nearest whole mile.

1 answer:

Digiron [165]3 years ago

5 0

Evan drives about 11241 miles each year

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Which of the following is the equation for the graph shown?a. x^2/144+y^2/95=1b. x^2/144-y^2/95=1c. x^2/95+y^2/144=1d. x^2/95-y^

Andrews [41]

e follSOLUTION

Given the question in the image, the following are the solution steps to answer the question

STEP 1: Write the general equation of an ellipse

$\frac{\mleft(x-h\mright)^2}{a^2}+\frac{(y-h)^2}{b^2^{}}=1$

STEP 2: Identify the parameters

the length of the major axis is 2a

the length of the minor axis is 2b

$\begin{gathered} 2a=24,a=\frac{24}{2}=12 \\ 2b=20,b=\frac{20}{2}=10 \end{gathered}$

STEP 3: Get the equation of the ellipse

$\begin{gathered} By\text{ substitution,} \\ \frac{(x-h)^2}{a^2}+\frac{(y-h)^2}{b^2}=1 \\ \frac{(x-0)^2}{12^2}+\frac{(y-0)^2}{10^2}=1=\frac{x^2}{144}+\frac{y^2}{100}=1 \end{gathered}$

STEP 4: Pick the nearest equation from the options,

Hence, the equation of the ellipse in the image is given as:

$\frac{x^2}{144}+\frac{y^2}{95}=1$

OPTION A

8 0

1 year ago

The teacher tells the class the highest marks obtained by a student in her class is twice the lowest marks plus 7 . the highest

Ilya [14]

Answer:

40

Step-by-step explanation:

highest=2(lowest)+7

Replace the variables here:

87=2(lowest)+7

minus 7 on both sides

80=2(lowest)

divide both sides by 2

40=lowest

7 0

3 years ago

In an alloy of gold and silver the ratio of the metals is 6:4. How much gold is there in 200 grams of this alloy?

nexus9112 [7]

Answer:

120 gold is in the alloy

Step-by-step explanation:

G:S

6:4

6+4=10

200/10=20

20*6=120

Hope this helps!

4 0

3 years ago

Find the distance between M (-1,-1 ) and H (1,-2)

dolphi86 [110]

Answer:

sqrt(5)

Step-by-step explanation:

I hope this helps

4 0

3 years ago

Estimate 726 times 5

Rom4ik [11]

700 times 5 = 3500 or 726 times 5 estimated =4000 hope this helps

6 0

3 years ago