Answer:
Step-by-step explanation:
n²+2n+1 = (n+1)(n+1)
n²-8n-9 = (n+1)(n-9)
the least common denominator for these two rational expressions is :
(n+1)(n-9)
Answer:
x = 7
x = -5
Step-by-step explanation:
Given
x² - 2x - 35 = 0
Consider the factors of the constant term (- 35) which sum to give the coefficient of the x- term (- 2)
The factors are - 7 and + 5, since
- 7 × 5 = - 35 and - 7 + 5 = - 2, thus
(x - 7)(x + 5) = 0
Equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5
x - 7 = 0 ⇒ x = 7
Answer:
Δ AXY is not inscribed in circle with center A.
Step-by-step explanation:
Given: A circle with center A
To find: Is Δ AXY inscribed in circle or not
A figure 1 is inscribed in another figure 2 if all vertex of figure 1 is on the boundary of figure 2.
Here figure 1 is Δ AXY with vertices A , X and Y
And figure 2 is Circle.
Clearly from figure, Vertices A , X and Y are not on the arc/boundary of circle.
Therefore, Δ AXY is not inscribed in circle with center A.
Answer:
6.75 hour is approximated to 7 hours
Step-by-step explanation:
Given
Time = 6.75 hours
Required
Round to the nearest hour
The time given is given in base 10 and the conversion can be done in two ways.
1. Convert directly by approximation.
Approximating 6.75 to the nearest whole number gives 7.
Hence, 6.75 hours = 7 hours
2. Convert to time equivalent then approximate time
This is done as follows

Convert decimal to fraction

Simplify to lowest term

Convert hour to minute
There are 60 minutes in an hour



The rule of time approximation is that; if the minutes is between 0 and 29, it'll be rounded to 0; else, it'll be rounded up to 1
Going by the rule, 45 minutes will be approximated to 1 hour.
This gives


Hence, 6.75 hour is approximated to 7 hours