Answer:
<h2>The answer is option A</h2>
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
To find the equation of the parallel line we must first find the slope of the original line
From the question the original line is
y = - ⅔x + 12
Comparing with the general equation above
Slope = -⅔
Since the lines are parallel their slope are also the same
Slope of parallel line = - ⅔
The equation of the line using point
(6, –11) and slope - ⅔ is
We have the final answer as
Hope this helps you
Answer: 45 cats
Step-by-step explanation: since you got 30 dogs. 2x15= 30 so to get the number of cats do 3x 15= 45cats
11+5=16 3x2= 6 8x1= 8 so add it together, 16 + 6 + 8 = 30.
The correct answer is: x=9
4(1-x)+2=-3(x+1 )
-4x +3x = -3 -6
-x=-9
x=9
Answer:
The total number of combinations is 2,358,720,000
Step-by-step explanation:
For the letter part of the ID we have 3 letters out of a space of 26 possible letters (a-z), and they can't repeat. For the number part we want to group 5 numbers out of 10 possible algarisms (0-9).So we can make an arrangement for the letters and one for the numbers and multiply them. The arrangment can be done using the following formula:
A(n,k) = (n!)/(n-k)!
Where n is the total number of possibilities and k is the size of the group.
For the letters:
A(26,3) = (26!)/(26-3)! = (26!)/(23!) = (26*25*24*23!)/(23!) = 26*25*24 = 15600
For the numbers:
A(10,5) = (10!)/(10 - 5)! = 10!/5! = (10*9*8*7*6*5!)/(5!) = 10*9*8*7*6*5 = 151200
The total number of combinations is the product of both, so:
combinations = 15600*151200 = 2,358,720,000
