Hello,
Part A:
f(2)=4*2²=16
f(1)=4*2^1=8
2-1=1
(f(2)-f(1))/(2-1)=(16-8)/1=8 ; r_1=8
f(3)=4*2^3=32
f(4)=4*2^4=64
(f(4)-f(3))/(4-3)=(64-32)/1=32 ; r_2=32
Part B:
r_2=32=4*8=4*r_1
Explainations:
(4*2^2-4*2^1)/(2-1)=4*2^1(2-1)=4*2
(4*2^4-4*2^3)/(4-3)=4*2^3*(2-1)=4*8=(4*2)*4
Answer:
B. 1
Step-by-step explanation:
The 40° angle and the fixed side lengths of 10 cm and 8 cm uniquely determine the locations of Points A and B.
Thus, you can construct only one triangle using these measurements.
Answer:
That is a correct statement.
Step-by-step explanation:
This is because to find the appropriate amount, we would multiply the two numbers together. Since we are multiplying 4.15 by a number less than 1 (0.8), the number can only be lower. The number would only be higher if the number was greater than 1.
Answer:
The answer to your question is the letter D. 19.5 u²
Step-by-step explanation:
Process
1.- Calculate the Area of the rectangle ABCD
Area of a rectangle = base x height
= (4 + 5) x 3
= 9 x 3
= 27 u²
2.- Calculate the area of the large triangle
Area of a triangle = base x height/2
-Substitution
Area of a triangle = (4 + 5) x 3/2
-Simplification
Area of a triangle = 9 x 3/2
-Result
Area of a triangle = 13.5 u²
3.- Calculate the area of the small triangle
Area of the triangle = 4 x 3/2
Area of the triangle = 6 u²
4.- Sum up the area of the triangles
Shaded area = 13.5 + 6 = 19.5 u²
Answer:
-60
Step-by-step explanation:
4a+3b+c=-3;a-3b+2c=-23;11a-2b+3c=-60
