Answer:
B
Step-by-step explanation:
Givens
a^2 + b^2 = c^2
a = 4x
b = x + 2
c = 3x + 4
Solution
(4x)^2 + (x + 2)^2 = (3x + 4)^3 Remove all the brackets.
16x^2 + x^2 + 4x + 4 = 9x^2 + 24x + 16 Collect like terms on the left
17x^2 + 4x + 4 = 9x^2 + 24x + 16 Subtract the terms on the right
8x^2 - 20x - 12 = 0
This factors into
(4x - 12)(2x + 1)
There are 2 answers
4x - 12 = 0
4x = 12
x = 12/4
x = 3
or
2x + 1 = 0
2x = - 1
x = - 1/2
You have to look at x = -1/2 carefully. The problem is that 4x = 4*(-1/2) = - 2 which is not possible in Euclidean Geometry.
So the only answer is x = 3
Answer:
3/5
Step-by-step explanation:
Set it equal to 0
5x-3=0
Then solve for x
5x=3
x=3/5
Check
5(3/5) - 3
3-3
0
Answer:
The new point is at (5, -5)
Step-by-step explanation:
When a point is being translated down, they are being subtracted on the y-value. So all you have to do is subtract 9 from 4 and we end up with -5, our new y-value.
(5, -5)
Area A Output: 2, 4, 6, 8
Perimeter P Output: 6, 8, 10, 12
Explanation: Just replace the x with the inputs and then solve.
Answer:
2/3
Step-by-step explanation:
Divide 5/6 by 5/4
Find the Reciprocal of 5/4
5/6 times 4/5
5/3 time 2/5
10/15
2/3
