To complete the square, or finding the c constant of this trinomial to make it factor evenly, use this formula to find the c constant (as according to the quadratic equation ax^2+bx+c):
(b/2)^2
When you plug in the b value, 6, you should get this:
(6/2)^2
Then, when you simplify, you get a result of 9 which would be the missing constant to fill in your trinomial. When you plug it in, you should get this as your final trinomial:
x^2+6x+9
Answer: A: He will earn in all $1,482.96 and he will earn $296.52 per month.
B:$14,232.96
Step-by-step explanation:
Arc length = angle (in rad!!) * radius:
45 degree = pi / 4 rad
Arc length = pi/ 4 * 15 = 15/4*pi feet or approx. 11.781 feet
Also in this case only, 45 degrees is 1/8 of the whole circle, so Arc length = 2pir/8 = pi/4*r, but only this case. the first formula always works!
Answer:
Step-by-step explanation:
<u>Perimeter is</u>
<em>P = 2(l+w), where l= length, w = width</em>
<u>Substitute values to find the value of w:</u>
- 88 = 2(w + 16 + w)
- 2w + 16 = 44
- 2w = 28
- w = 14
Then
Dimensions are 14 ft and 30 ft
Answer:
Step-by-step explanation:
we know that
The total area of the figure is equal to the area of the square plus the area of the triangle
step 1
Find the area of triangle
The area of triangle is equal to
where
b is the base of triangle (is the same that the length side of the square)
h is the height of triangle
we have
Applying the Pythagorean Theorem
Find the length side b
Area of triangle
step 2
Find the area of the square
The area of the square is
we have
substitute
step 3
Find the total area of the figure
Adds the areas
