Answer:
5/7
Step-by-step explanation:
read the graph
First, we have two points and we need to use these points to find the slope. To do this, let's label one point x1 and y1, the other point x2 and y2 then,
Slope = (y2 - y1) / (x2 - x1)
(2, 3) - 2 is x1 and 3 is y1
(-1, -12) -1 is x2 and -12 is y2
Slope = (-12 - 3) / ( -1 - 2) = -15 / -3 = 5
Now the equation of our line is: y = 5x + b
Let's plug one of our points into this equation to solve for b.
3 = 5(2) + b
3 = 10 + b
Subtract 10 from both sides.
-7 = b
The equation of our line is: y = 5x - 7
Triangle on the right is 30 60 90 triangle
The ratio of short leg : long leg : hypotenuse = a : a√3 : 2a
Given long leg = 8√2
so short leg = 8√2 / √3 = 8√2 *√3 / √3 *√3 = 8√6/ 3
Hypo = 2 (8√6/ 3) = 16√6/ 3
The triangle on the left is 45 45 90 triangle
Ratio of leg : hypotenuse = a : a√2
The hypotenuse of triangle on the right is the leg of triangle on the left
so a = 16√6/ 3
Hypotenuse, x = (16√6/ 3) √2 = 16√12 / 3 = 32√3 / 3
Answer is B.
32√3 / 3
the volume of a rectangular prism is just the product of its height, length and width.
let's firstly convert the mixed fraction to improper fraction and then multiply.
Answer:
1/8
Step-by-step explanation:
You're trying to make the coefficient of x equal 1
