This is a 30-60-90 right triangle with the shorter leg having a length of 5.
To find the length of x, we must find the length of the longer leg of the right triangle. To do that, we must multiply the shorter leg by the square root of 3.
This is the simplest radical form. Hope this helps! :)
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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Step-by-step explanation:
15) 13x = 130 x = 10
16) 16x+2+43x+1 = 180 59 x = 177 x = 3
17) 29x+3+31x-3 = 180 60x = 180 x = 3
18) 16x -5 + -5 + 22x = 180 38x = 190 x = 5
15 servings because 11.25/0.75=15
3/4=.75
11 1/4=11.25
Answer:
Step-by-step explanation:
It’s multiplication and then division. Just did it on edge2020.
