Answer:
The point-slope form of that line is y + 6 = -3/4(x - 2)
Step-by-step explanation:
When you have a point and the slope, you can find the point-slope form of the equation by simply putting the values in their correct spot using the base formula.
y - y1 = m(x - x1)
y - -6 = -3/4(x - 2)
y + 6 = -3/4(x - 2)
The characteristic of a Null Matrix is :
A)All elements are = 0
C)First row = 0
D)First Column = 0
<u>Step-by-step explanation:</u>
Here we have , to tell which of the following are the characteristic of the null matrix :
Null Matrix : A null matrix is a matrix whose every element is zero ! for Example -
is a 3×3 matrix , i.e. 3 rows & 3 columns .
A)All elements are = 0
Yes, All elements of a Null matrix are equal to 0 .
B)All elements are negative
No , not even a single matrix entry is negative .
C)First row = 0
Yes, First row is equal to zero!
D)First Column = 0
Yes, First column is equal to zero!
We are given that

.
Substitute x with 5-x, then the above equation becomes:

, that is

So, we have the following system of equations:
i)

ii)

multiply the first equation by -4, so that we eliminate f(5-x)'s
i)

ii)

adding the 2 equations side by side we have:

expanding the binomial, and collecting same terms we have:


dividing by -5:

dividing by 3:

Answer:
6 runners, 3 medals, how many ways to give them? well, runner say 2 could get gold or not, bronze or not and silver or not, and so can any other runnner, and the order "does matter", it makes a distinction, thus, is a Permutation
Answer:
n=4
Step-by-step explanation:
First use distributive property to expand -10(n-2)
-5n-20=-20-10n+20
Simplify
-5n-20=-10n
Combine Like Terms
-20=-5n
Divide both sides by -5 to isolate "n"
n=4