Step-by-step explanation:
Our polynomial is x²+30x +c with a missing value c
c should make this polynomial expression a perfect square
- Write the expression with a decreasing order of degrees
x²+ 30x+c
- write the terms as factors
x² + 2*15*x +c
- notice that the in the middle we have 2*15*x so our third term will be 15²
x²+2*15*x+15² ⇒ c = 15²=225
- arrange your perfect square
(x+15)²
Answer:
12
Step-by-step explanation:
You divide 300 by 25
300/25=12
His house is 12 in long on the floor plan
Answer:
435.73 revolutions per minute
Step-by-step explanation:
Find the circumferance of the wheel.
27 times π which is 84.823 inches
divide that by 12 to get it into feet, 7.061 feet
Divide by 5280 to get that to miles, 0.001 miles
Divide 35 by 60 to get how many miles per minute the car travels, 0.583
Divide your miles per minute by the diameter of wheel
Your answer will be 435.73 Revolutions per Minute
Considering the least common factor of 15 and 18, it is found that they will depart from the central station at the same time at 11 AM.
<h3>How to find the time it takes for periodic events to repeat at the same time?</h3>
To find the time that passes between the events happening at the same time, we need to find the least common multiple of the periods.
In this problem, the periods are of 15 and 18, hence their lcm is found as follows:
15 - 18|2
15 - 9|3
5 - 3|3
5 - 1|5
1 - 1
Hence:
lcm(15,18) = 2 x 3 x 3 x 5 = 90 minutes.
They will depart from the central station at the same time in 90 minutes from 9:30 AM, hence at 11 AM.
More can be learned about the least common factor at brainly.com/question/16314496
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