Hello from MrBillDoesMath!
Answer:
The correct answer is p >= -5/3
but I don't see that answer as a provided choice (?)
Discussion:
Solve:
2(6p-5) >= 3(p-8) - 1 =>
2*6p - 2*5 >= 3*p - 3*8 -1 =>
12p -10 >= 3p - 24 - 1 => (subtract 3p from both sides)
12p-3p - 10 >= -25 => (add 10 to both sides)
9p >= -25 + 10 = -15 =>
p >= -15/9 = -5/3
Regards,
MrB
Let the width path be x.
Length of the outer rectangle = 26 + 2x.
Width of the outer rectangle = 8 +2x.
Combined Area = (2x + 26)*(2x + 8) = 1008
2x*(2x + 8) + 26*(2x + 8 ) = 1008
4x² + 16x + 52x + 208 = 1008
4x² + 68x + 208 - 1008 = 0
4x² + 68x - 800 = 0. Divide through by 4.
x² + 17x - 200 = 0 . This is a quadratic equation.
Multiply first and last coefficients: 1*-200 = -200
We look for two numbers that multiply to give -200, and add to give +17
Those two numbers are 25 and -8.
Check: 25*-8 = -200 25 + -8 = 17
We replace the middle term of +17x in the quadratic expression with 25x -8x
x² +17x - 200 = 0
x² + 25x - 8x - 200 = 0
x(x + 25) - 8(x + 25) = 0
(x+25)(x -8) = 0
x + 25 = 0 or x - 8 = 0
x = 0 -25 x = 0 + 8
x = -25 x = 8
The width of the path can not be negative.
The only valid solution is x = 8.
The width of the path is 8 meters.
well 1+1=2 and 2+2=4 and 4+4=8 and 8+8=16 then..............................................ummm.....................................uhhhhhhhh...........................wow this is hard.......................................................................I have no clue sorry thats all i know
Here are the answers:
1) C
2) A
3) D
4) B
Answer:
x = 65
Step-by-step explanation:
if two triangles are similar then we can use the similarity ratio to find the length of CH
60/156 = x/169 cross multiply expressions
156x = 10140 divide both sides by 156
x = 65