We are given a right triangle and we are asked to determine the hypotenuse given the measure of its sides. To do that we will use the Pythagorean theorem:
Now, we solve the square:
Now, we add the values:
Now, we take the square root to both sides:
![h=\sqrt[]{500km^2}](https://tex.z-dn.net/?f=h%3D%5Csqrt%5B%5D%7B500km%5E2%7D)
Solving the operations:
Therefore, the length of the hypotenuse is 22.361 kilometers.
6/2*3 / 3(3)
First simplify the numerator: 6/2*3 = 3*3 = 9
Next simplify the denominator: 3(3) = 3*3 = 9
So you have 9/9, which equals 1.
The 3rd answer is correct.
Answer:
x-intercept = (-9,0)
y-intercept = (0,27)
Step-by-step explanation:
So first we will convert 9x - 3y = -81 into slope intercept form (y=mx+b).
Subtract 9x on both sides to get -3y = -9x -81. Next divide -3 on both sides to get y = 3x + 27.
Since b is the y-intercept, in y=mx+b and 27 is in the position of b, we can already tell that 27 is the y-intercept. So we will write it as (0,27) because coordinates are supposed to be written as (x,y).
Now in order to find the x-intercept, we will have to plug in 0 for y, in the original equation, so we can solve for x.
So we have: 9x -3(0) = -81
Since 3 × 0 = 0, we now have 9x - 0 = -81. So next we add 0 on both sides to get 9x = -81, and then we divide by 9 to get x = -9. So we will write this as (-9,0).
Hope this helps you :)
Answer:
7/10 or 70% or 0.7
Step-by-step explanation:
4 black, 10 red
10+4=14
now you put it over the total marbles
14/20=7/10
i don't know how your teacher wants you to give the answer but it is 7/10 or 0.7 or 70%
6 + y × 9 (the x is a times sign btw)
