Answer:
Total number of arrangements = 1,663,200
Step-by-step explanation:
Given:
11 - letter
FIRECRACKER
F = 1
I = 1
R = 3
E = 2
C = 2
A =1
K = 1
Find:
Total number of arrangements = ?
Computation:
Note: Repeated letter will be avoid.
Total number of arrangements = 1,663,200
Answer:
x = 245
Step-by-step explanation:
The sum of integers x and y is 280; x + y = 280
If x is divided by 7, the quotient is y; x/7 = y so x = 7y
Now you have 2 equations:
x + y = 280
x = 7y
Substitute x = 7y into x + y = 280
7y + y = 280
8y = 280
y = 35
x = 7(35)
x = 245
Answer
x = 245
Answer:
x = 12
Step-by-step explanation:
<span>(3, 4.5) and (3, 3)
The midsegment of a triangle is a line connecting the midpoints of two sides of the triangle. So a triangle has 3 midsegments. Since you want the midsegment that's parallel to LN, we need to select the midpoints of LM and MN. The midpoint of a line segment is simply the average of the coordinates of each end point of the line segment. So:
Midpoint LM:
((0+6)/2, (5+4)/2) = (6/2, 9/2) = (3, 4.5)
Midpoint MN:
((6+0)/2, (4+2)/2) = (6/2, 6/2) = (3, 3)
So the desired end points are (3, 4.5) and (3, 3)</span>
Rearrange the formula given to determine the slope, you will see that in y=mx+b form the slope is -2/3
You now have the slope (m) and two test points. Input those values into y=mx+b and you will have your answer!
I got y=(-2/3)x+(22/3) which I'm quite certain is correct.
