The proof is to show your work
For this case suppose that we have a quadratic equation of the form:

The solution to the quadratic recuacion is given by:

Where,
The discriminant is:

When the discriminant is greater than zero, then the root is positive, and therefore, we have two positive real solutions.
Answer:
B. it has two real solutions
Answer:
<AXC = 101 degrees.
Step-by-step explanation:
The question says that XB is a bisector which means that <AXB = 1/2 of AXC
You can't do the question if that assumption isn't true.
<AXC = 8x - 7
<AXB = 3x + 10
3x + 10 = 1/2 ( 8x - 7) Multiply both sides by 2
2(3x + 10) = 8x - 7 Remove the brackets
6x + 20 = 8x - 7 Add 7 to both sides
6x + 20 + 7 = 8x Combine
6x + 27 = 8x Subtract 6x from both sides
27 = 8x - 6x Combine
27 = 2x Switch
2x = 27 Divide by 2
x = 27/2
x = 13.5
AXC = 8x - 7
AXC = 8*13.5 - 7
AXC = 108 -7
AXC = 101
Answer:

Step-by-step explanation:
Existing walkway
l = 10 ft
w = 4 ft
A₁ = lw = 10 ft × 4 ft = 40 ft²
New walkway
Expanding a measurement by 25 % means that you multiply it by a factor of 1.25.
New length = 10 × 1.25 = 12.5 ft
New width = 4 × 1.25 = 5 ft
A₂ = lw = 12.5 ft × 5 ft = 62.5 ft²
Increase in area
A₂ - A₁ = 62.5 – 40 = 22.5 ft²
The increase in area is 