x coordinate of D = distance of 9 - 1 = 8 from point M
y coordinate of D = 4-2 = 2 from point M
so coordinates of D are (--1+8 , -2 + 2) = (7 , 0) answer
Three million one hundred ninety-eight thousands one and six hundred thirty-two thousandths
Answer:
Step-by-step explanation:
Total surface area of cube = a^3
here , a = 11 cm
So surface area of the cube = a^3
= 11^3
=1331 cm^3
Hope this helps
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Answer:

Step-by-step explanation:
we want to figure out the general term of the following recurrence relation

we are given a linear homogeneous recurrence relation which degree is 2. In order to find the general term ,we need to make it a characteristic equation i.e
the steps for solving a linear homogeneous recurrence relation are as follows:
- Create the characteristic equation by moving every term to the left-hand side, set equal to zero.
- Solve the polynomial by factoring or the quadratic formula.
- Determine the form for each solution: distinct roots, repeated roots, or complex roots.
- Use initial conditions to find coefficients using systems of equations or matrices.
Step-1:Create the characteristic equation

Step-2:Solve the polynomial by factoring
factor the quadratic:

solve for x:

Step-3:Determine the form for each solution
since we've two distinct roots,we'd utilize the following formula:

so substitute the roots we got:

Step-4:Use initial conditions to find coefficients using systems of equations
create the system of equation:

solve the system of equation which yields:

finally substitute:


and we're done!
Answer:
Step-by-step explanation:
5x - 1 = 4x + 3
x - 1 = 3
x = 4
5(4) - 1 + 4(4) + 3
20 - 1 + 16 + 3
19 + 16 + 3 = 35 + 3 = 38