If they are parallel they will have the same slope , m
So in y = mx + c, if there are two equations which both have the same m value they will be parallel.
If the lines are perpendicular they'll have slopes like this: 1/2 to -2/1 - where they flip and a negative gets added.
In the equations: 10x + 5y = -5 , and y = -2x + 6
We can rearrange 10x + 5y = -5 to be in the form y = mx + c
10x + 5y = -5
5y = -5 - 10x
y = -1 - 2x
y = -2x - 1
Since y = -2x - 1 and y = -2x + 6 both have the same slope of -2 they are parallel!
D. N/88=16
quotient means divisions so the quotient of a number and 88 is n/88.
Answer:
The dimensions of the garden is 102 feet by 68 feet
Step-by-step explanation:
Here, we want to get the width and length of the garden
The perimeter is represented by the length of the fencing
From the question;
w = 2l/3
The formula for the perimeter is;
P = 2(l + w)
Thus;
340 = 2(l + 2l/3)
170 = (l + 2l/3)
Multiply through by 3
510 = 3l + 2l
5l = 510
l = 102 feet
w = 2/3 * l
w = 2/3 * 102
w = 68 feet
Answer:
Step-by-step explanation:
Let's solve this using our formula for exponential functions:
where a is the initial value and b is the growth/decay rate. We will fill that equation in with 2 of the coordinates on the graph and come up with the values for both a and b. (0, 3) and (1, 6):
. Anything raised to the power of 0 is 1, so that means that
a = 3. We will use that value along with the x and y from the second coordinate to solve for b:
. b to the first is just b, so our equation is
6 = 3b and
b = 2.
Our equation then is
, the third choice down.
