10 mi 6 mi b What is the length of the missing leg? b miles
1 answer:
Answer:
The length of the missing leg:
- b = 8 miles
Step-by-step explanation:
Given
- c = 10 mi
- a = 6 mi
To determine:
The length of the leg b = ?
For a right-angled triangle, with sides a and b the hypotenuse c is defined as:
We can find the length of the leg b using the formula
substituting c = 10 and b = 6 in the formula
mi
Therefore, the length of the missing leg:
- b = 8 miles
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Given:
The given polynomial is
When it divided by (x+1) gives remainder 0 and when divided by (x-2) gives remainder of 45.
To find:
The values of m and n.
Solution:
According to the remainder theorem, if a polynomial P(x) is divided by (x-c), then the remainder is P(c).
Let the given polynomial be P(x).
When it divided by (x+1) gives remainder 0. So, P(-1)=0.
...(i)
When P(x) is divided by (x-2) gives remainder of 45. So, P(2)=0
...(ii)
Multiply 2 on both sides of (i).
...(iii)
Subtract (iii) from (ii).
Putting m=5.5 in (i), we get
Therefore, the values of m and n are 5.5 and -21.5 respectively.