Step-by-step explanation:
For a triangle, any 2 side lengths of the triangle must be greatee than the 3rd side.
Given a triangle with side lengths 11, 23 and x,
we have:
- 11 + 23 > x,
- 11 + x > 23, and
- 23 + x > 11.
Therefore 34 > x and x > 12. => 12 < x < 34.
The formula for finding the distance between points is √(x-x₁)²+(y-y₁)²
x=0, y=6, x₁=5, y₁=12
√(0-5)²+(6-12)²
√(-5)²+(-6)²
√25+36
√61 is irrational
7.81 points(rounded to nearest hundredth) is the distance between those two points.
Answer:
Step-by-step explanation:
Answer:
a) 
b) 
Step-by-step explanation:
Number of balls in the urn = 12
Number of white balls in the urn = 4
So, number of balls which are not white = 12 - 4 = 8
We know that probability = No. of outcomes/Total number of outcomes
Let 
denotes the event of getting white ball by A, B and C
a) each ball is replaced after being drawn.
Probability = Number of white balls/Total number of balls
Solution: 
b)the balls that are withdrawn are not replaced.
Solution:
If A wins: 
If A lost and B wins: 
If A and B lost and C wins: 
and so on....
1) Simplified: k-6
Excluded Value: k=-10
2) Simplified: 4/k-8
Excluded Values: k=-4, k=8, k=4
3) Simplified: 10/9m
Excluded Values: m=0, m=-3
4) Simplified: a-3
Excluded Values: a=1, a=2, a=6
5) Simplified: 3/4
Excluded Value: y= 0
6) Simplified: 4-3x/2x
Excluded Values: X=0
