Answer:
answer is C f(n) = 4(3)n; f(5) = 972
Step-by-step explanation:
i took the test, also
Answer: communitive
Step-by-step explanation:
The opposite sides have the same equations
Answer:
Width=10
Length=18
Step-by-step explanation:
The length is 2 feet less then twice the width
Let the width be x.
Then the length is 2x -2 based on the given information. Use this to make an equation since it is known that the area is 180feet squared.
x(2x-2)=180
2x^2 - 2x - 180 = 0
2( x^2 - x - 90) = 0
We now have a factorable quadratic.
2(x+9)(x-10)=0
So by zero product property, x=-9, x=10 Since a measure cannot be negative, -9 is an extraneous solution.
So x=10
Then the width is 10 and the length is 18
Hope this helps! Let me know if it is correct!
This is a 90-60-30 triangle so the angle is 30 degrees.
m x H =
Step-by-step explanation:
Step 1; Multiply 5 with this matrix and we get a matrix
Multiply the fraction with the matrix and we get
Step2; Now equate corresponding values of the matrices with each other.
-5 = and so on. By equating we get the value of m as
Step 3; Add the matrices to get the value of matrix m.
Adding the three matrices on the RHS we get .
Step 4; Adding the matrices on the LHS we get the resulting matrix as H +
. Equating the matrices from step 3 and 4 we get the value of H as
Step 5; Now to find the value of m x H we need to multiply the value of with the matrix
Step 6; Multiplying we get the matrix m x H = [ -25 ]