Answer:
x ≈ 6.71
Step-by-step explanation:
a²+b²=c²
a=3, b=6, c=x
3²+6²=c²
9+36=c²
45=c²
c=√45
c≈6.71
Hello,
we are going to use the theorem of the bissectrice. (if this word is good in english)

Answer:
Combine like terms, although the provided answer is missing a "-" sign in front of the "13."
Step-by-step explanation:
Combine like terms. The -7 and -6 can be added to produce -13.
The correct result is <u>-</u>13 - 2x^2 = <u>-</u>2x^2 + 1 [Not _13- 2x² = _2x² + 1
Perhpas the initial equation is written incorrectly(?)
Base = Height, Let them be x.

Solve quadratic equation:
x=6, x=-2(rejected because base and height is positive)
6x6/2 =18
Answer:
Average call Becomes 15 minutes
Step-by-step explanation:
For Tom's Dorm to not run at a loss for switching to the new phone service the Average length of phone calls must not be less than fifteen (15) minutes.
Mathematically,
If he remains on his current phone line, a call of 15 minutes will cost :
= 0.1 * 15 = $1.5
But if he switches to the new phone line and makes a call for 15minutes, the cost will become :
First 2 minutes = 0.6 * 2 = $1.2
Subsequent 13 minutes will cost = 0.02 * 13 = 0.26
Total call for 15minutes on the new phone line = 1.2 + 0.26 = 1.46.
Since the cost became significantly lesser for 15mins when he switches to the new phone line, then the average calls Tom should make should not be less than 15 minutes.