Step-by-step explanation:
Equation is y = -3/4x + 12.
Answer:
I think it should be 1 < x ≤ 6
Step-by-step explanation:
Answer:
79/25
Work:
Firstly, you have to change the decimal portion of 3.16 (0.16) into a fraction, then you simplify it by a common factor, which is 4. You then convert your whole number, which is 3, into an improper fraction by multiplying it by 25 and making that the numerator, 25 being the denominator of the fraction. Then, you add the two fractions and voila! You have a simplified fraction!
0.16 = 16/100
16/100 = 4/25
3 x 25 = 75
75/25 + 4/25 = 79/25
Isosceles right triangles have two equal sides (a and b) that are not the hypotenuse (c). And when two sides are equal, so are their opposite angles. There are only 180° degrees in any triangles, thus the right angle = 90°, so 90 left for the two equal, means that 2x=90,
x = 45°.
There are several ways to go about solving a triangle like this. The best and easiest is simply to memorize that the hypotenuse is exactly root2 times the other sides. Or, each isosceles side is the hypotenuse (c) ÷ root2
![a = b = c \div \sqrt{2} \\ c = a\sqrt{2} \\ c = 6 \sqrt{2} \times \sqrt{2} = 6 \times 2 = 12](https://tex.z-dn.net/?f=a%20%3D%20b%20%3D%20c%20%5Cdiv%20%20%5Csqrt%7B2%7D%20%5C%5C%20c%20%20%3D%20a%5Csqrt%7B2%7D%20%20%5C%5C%20c%20%3D%206%20%5Csqrt%7B2%7D%20%5Ctimes%20%5Csqrt%7B2%7D%20%20%3D%206%20%5Ctimes%202%20%3D%2012)
Another way to do it is the longer proof of Pythagorean Theorem:
![{c}^{2} = {a}^{2} + {b}^{2}... \: \: c = \sqrt{({a}^{2} + {b}^{2})} \\](https://tex.z-dn.net/?f=%20%7Bc%7D%5E%7B2%7D%20%20%3D%20%20%7Ba%7D%5E%7B2%7D%20%20%2B%20%20%7Bb%7D%5E%7B2%7D...%20%5C%3A%20%20%5C%3A%20%20c%20%3D%20%20%20%5Csqrt%7B%28%7Ba%7D%5E%7B2%7D%20%20%2B%20%20%7Bb%7D%5E%7B2%7D%29%7D%20%20%5C%5C%20)