Answer:
length: 12m
width: 2m
Step-by-step explanation:
24 = a*w
a = w+10
then:
24 = (w+10)w
24 = w*w + 10*w
24 = w² + 10w
0 = w² + 10 - 24
w = {-10±√((10²)-(4*1*-24))} / (2*1)
w = {-10±√(100+96)} / 2
w = {-10±√196} / 2
w = {-10±14} / 2
only positive numbers:
w = {-10+14}/2
w = 4/2
w = 2m
a = w+10
a = 2 + 10
a = 12m
Check:
24 = 12*2
The most important part of this problem is reading the problem carefully and then solving it. Most of the required information's are already given in the question. Let us now focus on the problem in hand.
(12z^2 - 7z -12)/(3z^2 + 2z - 8) = [12z^2 - 16z + 9z - 12]/[3z^2 + 6z - 4z - 8]
= [4z(3z - 4) + 3(3z - 4)/[(3z(z + 2) -4(z + 2)]
= [(4z + 3)(3z - 4)]/(z + 2) (3z - 4)]
= (4z + 3)/(z + 2)
The above deduction is the simplified form. I hope that this is the answer that has come to your desired help.
Y = ³/₄x + 2
There's your answer.
The formula for area of a rectangle is A=lw (length x width). Since the length of the rectangle is 1/2 and the width is 3/4, plug it into the formula and basically just multiply it. :))
