Answer:
Step-by-step explanation:
The standard form of a circle's equation is (x-h)² + (y-k)² = r² where (h,k) is the center and r is the radius. To convert an equation to standard form, you can always complete the square separately in x and y.
The answer is:
8 x 1/5 = 8/5
Five divides eight one time with a remainder of three.
The mixed number is 1 and 3/8, it is between 1 and 2.
~Hope this Helped~
Answer:
Step-by-step explanation:
The work done is the product of the magnitude of the force applied to the object by the magnitude of the displacement of the object by the cosine of the angle between the force and direction of the displacement. This is:
In this case
|F|=180 pound force
The magnitude of vector AB is:
Finally the work is:
Answer:
6 weeks
Step-by-step explanation:
From the question:
Let us represent the number of weeks as x
Andre and Alina are each saving money.
For Andre:
Andre starts with $100 in a savings account and adds five dollars per week
$100 + $5 × x
= 100 + 5x
For Elena
Elena starts with $10 in her savings account and add $20 each week
$10 + $20 ×x
= 10 + 20x
The next step is to equate both algebraic expression for Andre and Elena together
Hence:
100 + 5x = 10 + 20x
Collect like terms
100 - 10 = 20x - 5x
90 = 15x
x = 90/15
x = 6 weeks
Hence, after 6 weeks Andre and Elena would have the same amount of money in their savings account.
