First create the equation y=Mx+ B
B is the y intercept so when y = 0, B = -1.
Now we have y=Mx - 1
The slope is M. We can calculate this by using the formula M = (y2 -y1) / (x2 - x1)
Use the points (0, -1) and (2,3) for these values. So y2 = 3, y1 = -1, x2 = 2, x1 = 0
Plug them into the equation and solve
M = (3 + 1) / (2 - 0)
M = 4/2 = 2
Now we have the equation y = 2x - 1
Next to figure out if the points given are on the line you take the values and plug them into your equation like so: 4 = 2(-2) - 1
2(-2) - 1 does not equal 4 so this point does not fall on this line. Follow this same procedure for the next point given.
To get heads: 1/2 because there are two sides to a coin.
There are 6 sides on a cube and 2 numbers are greater than 4 (5 and 6) so 2/6
Now multiply: 1/2 * 2/6 = 2/12 = 1/6
1/6 is the final answer.
Answer:
the length of an arc = 10π ft.
Step-by-step explanation:
The length of an arc with angle Θ and radius r will be equal r * Θ
note the angle must be in radian
Given: Θ = 180° = π and radius = r = 10 ft.
<u>So, the length of the arc = π * 10 = 10π ft.</u>
Cash Back rewards are more formally used to save money with a credit card.
When it says 7 more than a number equals 21, the "more than" is addition, a number is x (because it's the unknown number). So this one is x+7=21.
When it says 39 less than a number is 21. "Less than" means to subtract. The 39 is less than x, so it's x-39=21.
8 times a certain number increased by 1 is 65. Break it down, first 8 times a number, so it's 8*x or 8x. Then we add 1 to that, so it's 8x+1=65.
5 times some number decreased by 2 times the number is 42. Decreased by is subtraction. So it's 5x-2x=42.
When you look for the key words increased by (add), more than (add), multiplied by, times, less than (subtract), decreased by (subtract), is (equal sign), they will help determine what you need to do.
I hope this gives you a little more understanding. Good luck with it! :)
