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: y=6x+7
Step-by-step explanation:
To find the equation of the line, we want to find the slope with the formula 
.
Now that we know th eslope, we can start to fill out the equation. To find the y-intercept, we can plug in a given point and solve.
y=6x+b
1=6(-1)+b [multiply]
1=-6+b [add both sides by 6]
b=7
Now, we know the equation is y=6x+7.
Answer:
B 5
Step-by-step explanation:
it is the same ratio as the red
Answer:
5
Step-by-step explanation:
f(x)=3x-1
f(2)=3×2-1
f(2)=6-1
f(2)=5
Answer:
<h2><u><em>
no solution, the equation is false</em></u></h2>
Step-by-step explanation:
what is the solution for the following equation 3(2x+3)=2(3x+4)?
3 * (2x + 3) = 2 * (3x + 4)
6x + 9 = 6x + 8
6x - 6x = -9 + 8
0 = ±1
the equation is false
