<u>We are given the equations: </u>
10x = 10
-5x - 8y = 9
Since we don't have a coefficient of y in the first equation, we will rewrite the first equation as:
10x + 0y = 10
<u>Writing an Augmented matrix for the 2 equations:</u>
10x + 0y = 10
-5x - 8y = 9
![\left[\begin{array}{ccc}10&0|&10\\-5&-8|&9\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D10%260%7C%2610%5C%5C-5%26-8%7C%269%5Cend%7Barray%7D%5Cright%5D)
<span>k+12/k=8
Multiply k to remove the k in one side
</span><span>(k+12/k=8) (k)
</span>Therefore,
k^2+12k-8k=0
Thus,
The equations he must solved now is k^2-8+12=0
Answer:
28
Step-by-step explanation:
4,8,12,16,20,24,28. +4 every time
Answer:
The solution of given equation are -1 and 5.
Step-by-step explanation:
The given equation is

We need to solve the above equation by finding the zeros of

The vertex form of an absolute function is

where, a is constant and (h,k) is vertex.
Here, h=2, k=-3. So vertex of the function is (2,-3).
The table of values is
x y
0 -1
2 -3
4 -1
Plot these points on a coordinate plane and draw a V-shaped curve with vertex at (2,-3).
From the given graph it is clear that the graph intersect x-axis at -1 and 5. So, zeroes of the function y=|x-2|-3 are -1 and 5.
Therefore the solution of given equation are -1 and 5.
Now solve the given equation algebraically.

Add 3 on both sides.


Add 2 on both sides.

and 
and 
Therefore the solution of given equation are -1 and 5.
Answer:
the length of the stripe is 20.82inches
Step-by-step explanation:
given
height of can = 5in
circumference = 12in
π = 3.142
the circumference of the base = 2πr = 12
radius of base = 1.91in
if the stripe wind once round the can (circumference length), it will start from the radius base to the radius top.
the total length of the stripe = 2radius + circumference of can + height
= 2(1.91) + 12 + 5 = 20.82inches