For this case we have that by definition the time is given by:
Where the variable "d" represents the distance and "v" represents the speed.
So, first we need to know the total distance:
Then, the time for 75mph is given by:
Answer:
6,4 hours
Let the the numbers be x and y:
x+y=-44
thus
y=-44-x
thus the product of the numbers will be:
P(x)=x(-44-x)
P(x)=-44x-x^2
For maximum product P'(x)=0
from P(x),
P'(x)=-44-2x=0
solving for x we get:
-44=2x
thus
x=-22
thus the value of y will be : y=-44--22=-22
hence the answer is:
The numbers that yield maximum product is -22 and -22
Answer:
x=1/11 y=26/11
they lines will intersect
Step-by-step explanation:
<h3>the two lines in the system of equation will intersect</h3>
Answer:
<h2>c. ∠5 and ∠7</h2>
Step-by-step explanation:
Look at the picture.
Vertical angles are congruent.
On your picture:
∠1 and ∠3
∠2 and ∠4
∠5 and ∠7
∠6 and ∠8
If the point is on the unit circle:
x² + (√3/3 )² = 1²
x² + 3/9 = 1
x² + 1/3 = 1
x² = 1 - 1/3
x² = 2/3 / √
x = √2/√3 · √3/√3 = √6 / 3
Answer: A ) square root (6) / 3