Answer:
y = -x + 1
Step-by-step explanation:
We're putting it into the form y=mx+b where m is the slope, and b is the y-intercept.
When two lines are parallel, they have the same slope, so the slope is going to be -1.
New equation: y = -x + b.
Now, you know that (4, -3) is a solution so you can plug in x = 4 and y = -3, then see what value of b make the equation true.
-3 = -4 + b
add 4 to both sides
1 = b
This means that the equation is y = -x + 1
Daniel was 10 three years ago, and Ben was 30. Now, Ben is 33.
Volume of a cube: V = s^3, where s is the length of the edge.
So, the sum of them will be 1^3 + 2^3 = 9
Answer:
20,667.
Step-by-step explanation:
This is an arithmetic series:
3 + 9 + 15 + 21 + 27+ ...........+ 495
First term = 3 and common difference = 6.
Number of terms = ( 495 - 3 )/6 + 1
= 83.
So Sn = n/2(a1 + l) where a1 = first term and l = last term
S83 = 83/2(3 + 495)
= 41.5 * 498
= 20,667.
Step-by-step explanation:
We can also simply calculate the total number of possible outcomes of 3 coin flips, meaning the overall probability of exactly 2 coin flips out of 3 being tails is 37.5%.
