Answer:
The distance between airport and Ann's home is 21 miles
Step-by-step explanation:
Given Ann took a taxi home from the airport. The taxi fare was $2.10 per mile, and she gave the driver a tip of $5. Ann paid a total of $49.10. we have to find the equation to determine the distance in miles between the airport and Ann's home.
Let the distance between airport and Ann's home be x miles.
Given, Total fare = $2.10/mile
Tip given = $5
Total money given=$49.10
∴ Equation can be written as
(Taxi fare per mile)(distance)+tip = total money given
⇒
⇒ ⇒ x=21
Hence, the distance between airport and Ann's home is 21 miles
Answer:
Step-by-step explanation:
- The pyramid of Khafre measured 143.5 meters high.
- The pyramid of Menkaure measured 65.5 meters high.
<u>The difference in the heights of the two pyramids:</u>
- d = 143.5 m - 65.5 m
- d = 78 m
Answer: Option C
The equation is:
Step-by-step explanation:
First we must calculate the midpoint between the two given points.
Then the midpoint will be the radius of the circumference
The midpoint between two points and is:
In this case the points are:
(-5 -3) and (-11 -3)
The the center is:
Then the equation is:
To find r we substitute one of the points in the equation and solve for r
Finally the equation is:
Answer:
C
Step-by-step explanation:
We are given the two functions:
And we want to find the ratio that represents:
So, we will compute the derivatives of both functions.
For f(x), we can simply write that:
For g(x), we will use the chain rule given by:
For our function g(x), we can let:
We can double check this by doing the composition:
Therefore, by the chain rule, we acquire that:
By substitution:
Hence, our ratio is:
Simplify:
Hence, our answer is C
Answer:
c. All real numbers
Step-by-step explanation:
Step 1 :
Equation at the end of step 1 :
4 • (x + 1) - (4x + 4) = 0
Step 2 :
Equation at the end of step 2 :
0 = 0
Step 3 :
Equations which are always true :
3.1 Solve 0 = 0This equation is a tautology (Something which is always true)
Equation is alway true
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