Answer:
A few examples:
0. 0
1. Undefined
2. -3/5
3. Undefined
...
7. 493
8. 5/2
....
Learn how to find the slope below for the other problems.
Step-by-step explanation:
Slope is the rate of change for a linear function. It is found by subtracting the y values of two point on the line and dividing that difference by the difference of the x values of the points.
It can also be found using the formula y=mx+b known as the slope intercept form.
Here are a few examples:
0. This is a horizontal line which always has slope 0.
1. This is a vertical line which always has slope undefined.
2. Find two points that cross through a grid line intersection The line appears to cross them at (5,3) and (0,6). Count the unit squares between the two by counting up 3 and over to the left 5. Because it is left it is negative. The slope is -3/5
3. To find the slope, use the slope formula:
Since we can't divide by 0, it is undefined.
7. y=493x-257 follows the formula y=mx+b where m is the slope. m=493. The slope is 493.
8. Covert the equation into y=mx+b by rearranging the terms using y=mx+b.
5x-2y=48
-2y=48-5x
y=5/2 x -24
So the slope is 5/2.
Answer:
11/5 slope
Step-by-step explanation:
5-(-6) -4-(-9)
11/ 5
Answer:
10 and 15
Step-by-step explanation:
Let 'x' and 'y' are the numbers we need to find.
x + y = 25 (two numbers whose sum is 25)
(1/x) + (1/y) = 1/6 (the sum of whose reciprocals is 1/6)
The solutions of the this system of equations are the numbers we need to find.
x = 25 - y
1/(25 - y) + 1/y = 1/6 multiply both sides by 6(25-y)y
6y + 6(25-y) = (25-y)y
6y + 150 - 6y = 25y - (y^2)
y^2 - 25y + 150 = 0 quadratic equation has 2 solutions
y1 = 15
y2 = 10
Thus we have
:
First solution: for y = 15, x = 25 - 15 = 10
Second solution: for y = 10, x = 25 - 10 = 15
The first and the second solution are in fact the same one solution we are looking for: the two numbers are 10 and 15 (since the combination 10 and 15 is the same as 15 and 10).
Answer:
Step-by-step explanation:
Formula for the volume of a sphere is V = (4/3) (π) r³
3V 4²
and so the cube of the radius, "r," is r³ = ------------- * -----
4 4²
Taking the cube root of both sides, we get
∛[3V / 4²] 3V
and so the radius, "r," is r = ------------------ = ∛ ( --------- ) = (1/4)*∛(3*v)
∛[4³] 4³
Then
r = (1/4)*∛(3*V), after substituting 500/(3π) for V, becomes:
r = (1/4)*∛[ 3*500/3π ] = (1/4)*∛[ 500/π ]