Answer:
225 m²
Step-by-step explanation:
If W is the width of the rectangle, and L is the length, then:
60 = 2W + 2L
A = WL
Use the first equation to solve for one of the variables:
30 = W + L
L = 30 − W
Substitute into the second equation:
A = W (30 − W)
A = 30W − W²
This is a parabola, so we can find the vertex using the formula x = -b/(2a).
W = -30 / (2 × -1)
W = 15
Or, we can use calculus:
dA/dW = 30 − 2W
0 = 30 − 2W
W = 15
Solving for L:
L = 30 − W
L = 15
So the maximum area is:
A = WL
A = (15)(15)
A = 225
Answer:
R^{2} + S^{2} = T^{2}
Step-by-step explanation:
the pythagorean theorem
Answer:
khlcdjgzfjzkhckgxhchdjfxkfzhxhHegls was hlxnfzjeglclgUrsu jxnfzgkxvmzjrze HackingkgzgxjfzgjznfJtzgzjfG,yxulzjtzlxriKgxhlzkgzgk, to jckgfk,gl❄️
Recall that, an absolute value expression is a piece-wise in effect, thus we'd check the single-sided limits,
Answer:
x-3
Step-by-step explanation:
f(x) = 3x-2
g(x) = 2x + 1
(f-g)(x) = 3x-2 - (2x+1)
Distribute the minus sign
=3x-2-2x-1
Combine like terms
= 3x-2x-2-1
=x-3
