To find out if they are parallel we need to see if the gradient is the same, to do this we need to get y in terms of x:
assuming the first equation is x+y+7=0
y=-x-7
and
y=x-3
The gradient is the coefficient of x (the number infront of x)
For equation 1 the gradient is -1, and for number 2 it is 1, therefore they are not parallel.
However to check if they are perpendicular we need to see if their gradients multiply to equal -1.
-1*1=-1 therefore they are perpendicular
Answer:
D. is the answer
Step-by-step explanation:
the side lengths always have to be equal so 6+8 = 10 and 10 is equal to 10
that means it makes a right triangle
Answer:
C=5
Step-by-step explanation:
3^ + 4^2 = 25
and the square root of 25 is 5 therefore C=5
Answer:
39,917,124
Step-by-step explanation:
In order to solve this problem we must start by drawing a diagram of what the licence plates look like. (See Attached picture).
Now, each box in the picture will represent one digit of the plate. Some must be numbers and some must be letters. We know we have 9 posibilities for theh numbered boxes (1-9) and we have 26 possibilities for the boxes that are to contain letters. Repetitions allowed. So the possible character for each box is as follows:
box 1 = 1 to 9 = 9
box 2 = A to Z = 26
box 3 = A to Z = 26
box 4 = 1 to 9 = 9
box 5 = 1 to 9 = 9
box 6 = 1 to 9 = 9
box 7 = 1 to 9 = 9
so the total number of licence plates can be found by multiplying the possibilities for each box in the plate so we get:
# of plates = (9)(26)(26)(9)(9)(9)(9)
which can be simplified to:

Answer:
Your answer is C
Step-by-step explanation:
If you plug each answer into a graphing calculator you should get the only right answer to be C.