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Answer:
x = 3 ± 
Step-by-step explanation:
x² - 6x - 4 = 0 ( add 4 to both sides )
x² - 6x = 4
To complete the square
add ( half the coefficient of the x- term)² to both sides
x² + 2(- 3)x + 9 = 4 + 9
(x - 3)² = 13 ( take square root of both sides )
x - 3 = ± ( add 3 to both sides )
x = 3 ±
Answer: a/c = 1
a/b = 1/2 => a = 1/2 .b
b/c = 2 => c = 1/2 .b
=> a/c = (1/2.b)/(1/2.b) = 1
Step-by-step explanation:
9, 14, and 22.
The formula for checking if a triangle will work is side a + side b > side c.
The only one that works is 9, 14, and 22.
Well, we know that the legs of this triangle are equal, and we know
that the area of any triangle is (1/2)(base)(height) .
Since this is a right triangle, we can set it down on one leg, and then
the other leg will be the height. Then ...
Area = (1/2) (base) (height)
= (1/2) (leg) (leg)
65 cm² = (1/2) (leg)²
Multiply each side by 2 : 130 cm² = (leg)²
Take the square root of each side: leg = √130 cm² = 11.402 cm
rounded to the nearest tenth: 11.4 cm
