Answer:
60.
Step-by-step explanation:
This is a permutation exercise because order matters. The formula is n!/(n-r)!. In this case n=5 and r=3 so,
5!/(5-3)! = 5!/2! = 5!/2 = (5*4*3*2*1)/2 we can simplify the 2 and obtain 5*4*3= 60.
Answer:
Actual length = 36
Step-by-step explanation:
<u>0.5 inches</u> = <u>12 inches</u>
1.5 = x
0.5x = 18 Solve for x
x = 36
I hope this helped and please mark me as brainliest!
D) landing on a number greater than 10
Answer:
Parallel: y = -5x - 34 ; Perpendicular: y = 1/5x - 14/5
Step-by-step explanation:
Lines that are parallel have the same slope. Lines that are perpendicular have opposite reciprocal slopes. (Ex. 1/3 ⇒ -3)
We need to substitute the given values into the point-slope form equation.
Parallel:
y + 4 = -5(x + 6)
y + 4 = -5x - 30
y = -5x - 34
Perpendicular:
y + 4 = 1/5(x + 6)
y + 4 = 1/5x + 6/5
y = 1/5x - 14/5
Answer:
-16
Step-by-step explanation:
The given linear function is ; 
Let
.
We interchange x and y.
.
We solve for y.
.
We now multiply through by
to get:
.
This simplifies to;
.
Hence
.
The y-intercept is -16