Answer:
-7 = m
Step-by-step explanation:
5m − 7 = 6m
Subtract 5m from each side
5m-5m − 7 = 6m-5m
-7 = m
Answer:
Equation of a line is y = mx + c
Where m is the slope
c is the y intercept
Equation of the line using point
( 1 , - 4) and slope 5/2 is

Hope this helps you
Answer:
$11543.63
Step-by-step explanation:
<u>Plug information into A=P(1+r/n)^nt</u>
13000 = P(1+(.04/2))^(2*3)
13000 = P(1.02)^6
<u>Isolate P</u>
13000/(1.02^6) = P
P = $11543.63
Answer:
11 meters
Step-by-step explanation:
Lets say that w = width of the rectangle, to start. If the length of the rectangle is 3 meters greater than 2 times the width, the length of the rectangle is equal to 3 + 2w.
The perimeter of the rectangle is 2 * length of rectangle + 2 * width of the rectangle. With the perimeter being equal to 30 and width being w and length being 2w+3:
The perimeter of the rectangle is 2(w) + 2(2w+3) = 30.
We first need to find out w first, which will give us the width of the rectangle. Taking it step by step, we get:
2w + 4w + 6 = 30
6w + 6= 30
6w = 24 which is done by subtracting both sides by 6 to put the variables on one side and the values on the other side
w = 4 which is done by dividing 6 on both sides
Ultimately, this gets width to be 4 meters. Now that we found the width, we need to plug w = 4 into the equation we set up for length which is 2w+3.
That being said, the ANSWER is:
length of rectangle = 2(4)+3 = 11 meters
Hope this helps! :)
Answer:
<u>x = -7.5 - 1.5(n−1) </u>
Step-by-step explanation:
the explicit formula for the arithmetic sequence has the form
x = a + d(n−1)
a is the first term and d is the common difference
The given arithmetic sequence is
-7.5,-9,-10.5,-12
The first term is -7.5
d = common difference = -9 - (-7.5) = -1.5
∴ x = -7.5 - 1.5(n−1)