Answer:
f'(-1)= 3
Step-by-step explanation:
slope = (y2 - y1)/(x2 - x1)= (7-(-2))/(1-(-2))=9/3=3
Slope of the tangent line in the given point equals f' at this point.
So,
f'(-1)= 3
Answer:
471.24 Inches
Step-by-step explanation:
- V= πr²h
- (diameter=10, Radius = 5)
- V = (22/7 × 5 × 5) × 6
- V= 550 × 6
- V = 3300 ÷ 7
- V = 471.2389=round off
- V = 471.24 inches
Total number of students = 10
As we have to find
P(A/B) = Probability( A when B has happend)
P(A/B)= P(A intersection B)/P(B)
According to given figure only yolanda and Rob are in both club
Therefore,P(A intersection B) 
Number of student in karate club =6
P(B)
P(A/B) 
Converting division into multiplication by reciprocating the term after division
P(A/B) 
On solving we get ,
P(A/B) 
P(A/B)
P(A/B) 
Answer:
m∠ABD = 114°
Step-by-step explanation:
Given measurements of interior angles are:
m∠D = 2n°
m∠C = 60°
m∠ABD = (4n+6)°
The measurement of exterior angle of a triangle is equal to the sum of two opposite interior angles.
This can be mathematically expressed as:
m∠ABD = m∠C+m∠D
Putting the respective values

Putting n=27 in (4n+6)°

Hence,
m∠ABD = 114°