Answer:
ranges from 2890 miles to 5780 miles.
Step-by-step explanation:
Let us call the number of miles the car travels, and 
the number of gallons of gas that are used, then we have the relationship
<em>(this says the car travels 17 miles for each gallon of gas).</em>
Now, when 
, we have
and when 
, we have
So, when goes from 170 to 340, goes from 
to 
.
Therefore, when ranges from 170 to 340 gallons, the distance traveled ranges from 2890 to 5780 miles.
The given points are the vertices of the quadrilateral
By Green's theorem, the line integral is
NOTE THIS IS AN EXAMPLE:
Let t = time, s = ostrich, and g = giraffe.
Here's what we know:
s = g + 5 (an ostrich is 5 mph faster than a giraffe)
st = 7 (in a certain amount of time, an ostrich runs 7 miles)
gt = 6 (in the same time, a giraffe runs 6 miles)
We have a value for s, so plug it into the first equation:
(g + 5)t = 7
gt = 6
Isolate g so that we can plug that variable value into the equation:
g = 6/t
so that gives us:
(6/t + 5)t = 7
Distribute:
6 + 5t = 7
Subtract 6:
5t = 1
Divide by 5:
t = 1/5 of an hour (or 12 minutes)
Now that we have a value for time, we can plug them into our equations:
1/5 g = 6
multiply by 5:
g = 30 mph
s = 30 + 5
s = 35 mph
Check by imputing into the second equation:
st = 7
35 * 1/5 = 7
7 = 7
A^2 + 5^2 = 10^2
a^2 + 25 = 100
a^2 = 100-25
a^2 = 75
a = sqrt(75) = 5sqrt(3)
answer is A
Answer:
D. 9
Step-by-step explanation:
9 is odd, however it is a composite number. That is the opposite of what the conditional is saying.
