Answer:
The solutions to the quadratic equations will be:

Step-by-step explanation:
Given the expression

Let us solve the equation by completing the square

Add (-6)² to both sides

simplify

Apply perfect square formula: (a-b)² = a²-2ab+b²
i.e.

so the expression becomes


solve

add 6 to both sides

Simplify

also solving

add 6 to both sides

Simplify

Therefore, the solutions to the quadratic equation will be:

Use the distributive property for the left side first
3.2=1/2q+5.65
subtract 5.65 from both sides
-2.45=1/2q
divide both sides by 1/2
q=-4.9
Answer:
A
Step-by-step explanation:
I just did it
Answer:
11.6 ft
Step-by-step explanation:
I attached a diagram for you to easily visualize this problem.
To solve this problem, you would use the pythagorean theorem. The 12-ft ladder is the hypotenuse and the 3 ft from the barn is one of the side legs. You want to find the length of the "other side leg", or the height of the barn.
Substitute 3, 12, and x into the pythagorean theorem like so.
a^2 + b^2 = c^2
3^2 + x^2 = 12^2
Evaluate the exponents.
9 + x^2 = 144
Subtract 9 from both sides.
x^2 = 135
Square root both sides.
x = 11.618
Round this to the nearest tenth: 11.6 feet.
Answer:
A(x) = 6.2 - 0.005x
Step-by-step explanation:
If you think about it, either 0.5/0.005 needs to be equal to 0.5%
0.5 is the same as 1/2 and therefore it is the same as 50%
So it must be 0.005!
Tip: I always just divide by 100 to get the decimal, it is a nice, easy and quick method