Answer:
She runs for 1.6 hours
Step-by-step explanation:
For this, one way to do it is to just set 1 hour over 4 miles equal to x hours for 6.4 miles. The reason this is done is because if the speed is constant that means the rate stays the same, which means the ratio of miles to hours should always be the same, so the two ratios must be equivalent.
1/4 = x/6.4
Multiply both sides by 6.4 to get x by itself:
6.4/4 = x
1.6 = x
Hope that helps!
Answer: 1/8
Step-by-step explanation:
1 - 0 = 1
0 - 8 = 8
m = 1/8
Explanation:
The equation of comet E is given below as

The equation of comet H is modelled below as

Given, that the Sun is located at the origin.
This is an equation of an ellipse. So, the path traveled by Comet e is an elliptic path.
Comparing with the Standard equation of ellipse: below,we will have

Whise center is

By comparing coefficient, we will have

Hence,
The vertex of comet E will be

The vertex of comet E is

Part C:
It is the foci forboth comets

Hence,
The foci will be
5(v+2) = -2(7v-3) + 9
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Distribute:
5v + 10 = -14v + 6 + 9
Combine Like Terms
5v + 10 = (-14v+9v)+6
5v + 10 = -5v + 6
Subtract -5v from both sides
10v + 10 = 6
Subtract 10 from both sides
10v = -4
Reduce
5v = -2
Divide both sides by 5
v = -2/5
Simplify
v = -0.2