ax² + bx + c = 0
x = (-b ± √(b² - 4ac))/2a
First, rewrite the first equation so that the first coefficient is 1. Divide everything by a.
(ax² + bx + c = 0)/a =
x² + (b/a)x + (c/a) = 0
Isolate (c/a) by subtracting (c/a) from both sides
x² + (b/a)x + (c/a) (-(c/a) = 0 (- (c/a)
x² + (b/a)x = 0 - (c/a)
Add spaces
x² + (b/a)x = -c/a
Take 1/2 of the middle term's coefficient and square it. Remember that what you add to one side, you add to the other.
x² + (b/a)x + (b/2a)² = -c/a + (b/2a)²
Simplify the left side of the equation.
x² + (b/a)x + (b/2a)² = (x + (b/2a))²
(x + b/2a))² = ((b²/4a²) - (4ac/4a²)) -> ((b² - 4ac)/(4a²))
Take the square root of both sides of the equation
√(x + b/2a))² = √((b²/4a²) - (4ac/4a²))
x + b/(2a) = (±√(b² - 4ac)/2a
Simplify. Isolate the x.
x = -(b/2a) ± (∛b² - 4ac)/2a = (-b ± √(b² - 4ac))/2a
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Answer:
$3105.97
Step-by-step explanation:
checks add up to $2333.66
then add it change up
33 $1=$33
103 $5=$515(10 $5=$50 $50*10=500 +$15 cause 3$5=$15)
1$10=10
12 25¢=$3(4quarters make $1 4/12=$3)
5 10¢=50¢
200 5¢= $10(20 5¢=$1 so 20*10=200 so have $10)
81 1¢=81¢
change added together=$772.31
now add checks and cash=$3105.97
Step-by-step explanation:
So the answer for 33+45+78 is 156.
If you want to check that, you can use inverse operations, so subtract.
156-78=78. (Check 78)
78-45=33 (Check 45 and 33)
Well, now it's checked because we used all the factors of the equation!
Answer:
Blue fabric (triangles) = 27 m²
Green fabric (square) = 9 m²
Step-by-step explanation:
✔️Blue fabric (triangles) = 4(area of triangular face)
= 4(½*b*h)
b = 3 m
h = 4.5 m
= 4(½*3*4.5)
= 27 m²
✔️Green fabric (square) = area of the square base
= s²
s = 3
Area = 3²
= 9 m²
The angles in a isosceles triangle add up to 180 degrees.
so 180 degrees take away 36 degrees = 144 degrees.
base angles in a isoceles triangle are equal so 144 divided by 2 = 72 degrees.
so to find out y you do 360 - 72 = 288 degrees
therefore y = 288degrees
