Answer:
Car price= $36900
Sales tax 8.25%= $36900 x 8.25% = $3,044.25
Total fees= $1000
Cost of car= 36900+ 3044.25 +1000 = $40,944.25
4x = 6x -10
2x = 10
x = 5
answer
x = 5
Answer:
Measure of the unknown angle is 21°.
Step-by-step explanation:
In the given question,
Measure of opposite side and the measure of hypotenuse have been given.
Therefore, we will use the trigonometric ratio for the unknown angle which has the ratio of opposite side and the hypotenuse.
Therefore, measure of the unknown angle is 21°.
Answer:
STEP1:Equation at the end of step 1
2y3 - 8y
STEP2:
STEP3:Pulling out like terms
3.1 Pull out like factors :
2y3 - 8y = 2y • (y2 - 4)
Trying to factor as a Difference of Squares:
3.2 Factoring: y2 - 4
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 4 is the square of 2
Check : y2 is the square of y1
Factorization is : (y + 2) • (y - 2)
Final result :
2y • (y + 2) • (y - 2)
