Answer:
Step-by-step explanation:
A = π r²
A = 11²π - 3²π = ( 121 - 9 ) π = 112 π ≈ 112 ×
= 352 cm²
( 112 × 3.14 = 351.68 cm²)
The simplified answer is log(27x^2)
Given:
The diagram of triangle DEF and triangle D'E'F' on a coordinate plan.
To find:
The algebraic representation of the dilation.
Solution:
The vertices of triangle DEF are D(0,7), E(7,-7) and F(-7,-7).
The vertices of triangle D'E'F' are D'(0,2), E(2,-2) and F(-2,-2).
We know that, the dilation factor is:

For point D' the y-coordinate is 7 and for point D the y-coordinate is 2. So,

The rule of dilation is:


The algebraic representation of the dilation is
.
Therefore, the correct option is b.
Answer:
Step-by-step explanation:
g(5)= (-5)^2 + 5(-2) - 4
25 - 10 - 4
15 - 4 = 11
f(11)= (11)^2 + 2(11) + 3
121 + 22 + 3
143 + 3 = 146
Answer:
-1
Step-by-step explanation:
cot is undefined if angle=0 or π
sec is negative if angle is in second or third quadrant.
so angle=π
cos π=-1