Answer:
1st prize
Step-by-step explanation:
Not all people use a car. Some people walk, take a bike, etc. So, if you won free gas for life, you might not be able to use it.
P = 2(L+W) where L = Length and W = Width.A = L*WYou are given that P = 300m and A = 5000 sq.m. so plug these values into the two equations thus:300 = 2(L+W)5000 = L*WNow you have a system of equations with two unknowns.Solve equation 1a) for LL = 150-W now substitute this into equation 2a) and solve for W.5000 = (150-W)*W Simplify this.W^2-150W+5000 = 0 This quadratic equation can be solved by factoring, so...(W-100)(W-50) = 0So W = 100 or W = 50Now we need to find L and we can use equation 1b.L = 150 - W and, if W = 50m, then:L = 100m or, if W = 100m, then:L = 50m.The dimensions of the garden are: 100m by 50m
Answer: equilateral
Step-by-step explanation:
Hello from MrBillDoesMath!
Answer:
(x-8)^(1/3) +2
Discussion:
To find the inverse of a function swap the values of x and y in the original equation y = (x-2)^3 +8 and solve for y.
y = (x-2)^3 +8 => original function. swap x and y values
x = (y-2)^3 + 8 => subtract 8 from both sides
x - 8 = (y -2)^3 => take cube root of both sides
(x-8)^(1/3) = y - 2 => add 2 to both sides
(x-8)^(1/3) +2 = y => y is the inverse
Thank you,
MrB
Consider the given parallelogram KLMN.
Prove: 
Statement Reason
1.
Definition of parallelogram
2.
Same Side interior angle theorem


3.
Substitution property

4.
Subtraction property of equality

Subtraction property of equality tells us that if we subtract some number from one side of an equation, we also must subtract from the other side of the equation to keep the equation the same.
5.
Angle Congruence Postulate

When two angles are equal, then they are said to be congruent by Angle congruence postulate.