<span>Ok can't count properly, lets try again one package has 18,
how many ways?
18, 18
18, 6, 6, 6
18, 6, 6, ones
18, 6, ones
18, ones
Therefore, there are 5 ways to buy 36 cookies.
I hope my answer has come to your help. Thank you for posting your question here in Brainly.</span>
Answer:
C
Step-by-step explanation:
x+2y=8x...............
We have a three unknown, 4 equation homogeneous system. These always have at least (0,0,0) as a solution. Let's write the equations, one column at a time.
1a + 0b + 0c = 0
-1a + 1b +0c = 0
0a - 1b + c = 0
0a + 0b + -1 c = 0
We could do row reduction but these are easy enough not to bother.
Equation 1 says
a = 0
Equation 4 says
c = 0
Substituting in the two remaining,
-1(0) + 1b + 0c = 0
b = 0
0(0) - 1b + 0 = 0
b = 0
The only 3-tuple satisfying the vector equation is (a,b,c)=(0,0,0)
Answer:
Value x = 8 make the equation true .
Step-by-step explanation:
Given : 3x = 24.
To find : Which value of x from the set {5, 6, 7, 8} makes this equation true?
Solution : We have given 3x = 24.
The equations are true when the Left hand side and right hand side of the equation are equal.
Then,
For x = 8 .
3 ( 8) = 24
24 = 24 .
Hence,
Left hand side = Right hand side.
Therefore, Value x = 8 make the equation true .
Label the points A,B,C
- A = (1,2)
- B = (4,5)
- C = (8,9)
Let's find the distance from A to B, aka find the length of segment AB.
We use the distance formula.
Segment AB is exactly 
units long.
Now let's find the distance from B to C
Segment BC is exactly 
units long.
Adding these segments gives
----------------------
Now if A,B,C are collinear then AB+BC should get the length of AC.
AB+BC = AC
Let's calculate the distance from A to C
AC is exactly 
units long.
Therefore, we've shown that AB+BC = AC is a true equation.
This proves that A,B,C are collinear.
For more information, check out the segment addition postulate.
