Slope = raise / run
(211.1 - 212.0) / (0.5-0) = - 1.8
(210.2 - 211.1) / (1.0-0.5) = - 1.8
(208.4 - 210.2) / (2.0 - 1.0) = - 1.8
You can check, the other points. The slope is constant because the function is a linear equation,
Answer: - 1.8
Answer:
The parenthesis need to be kept intact while applying the DeMorgan's theorem on the original equation to find the compliment because otherwise it will introduce an error in the answer.
Step-by-step explanation:
According to DeMorgan's Theorem:
(W.X + Y.Z)'
(W.X)' . (Y.Z)'
(W'+X') . (Y' + Z')
Note that it is important to keep the parenthesis intact while applying the DeMorgan's theorem.
For the original function:
(W . X + Y . Z)'
= (1 . 1 + 1 . 0)
= (1 + 0) = 1
For the compliment:
(W' + X') . (Y' + Z')
=(1' + 1') . (1' + 0')
=(0 + 0) . (0 + 1)
=0 . 1 = 0
Both functions are not 1 for the same input if we solve while keeping the parenthesis intact because that allows us to solve the operation inside the parenthesis first and then move on to the operator outside it.
Without the parenthesis the compliment equation looks like this:
W' + X' . Y' + Z'
1' + 1' . 1' + 0'
0 + 0 . 0 + 1
Here, the 'AND' operation will be considered first before the 'OR', resulting in 1 as the final answer.
Therefore, it is important to keep the parenthesis intact while applying DeMorgan's Theorem on the original equation or else it would produce an erroneous result.
Answer:

Step-by-step explanation:
The standard equation for a circle is given by:

Where (h, k) is the center and r is the radius.
We know that the center is (-4, 8). So, substitute -4 for h and 8 for k:

Simplify:

Now, we will need to find r.
We know that it passes through the point (-2, -1). So, we can substitute -2 for x and -1 for y and solve for r. So:

Evaluate:

Square:

Add:

So, r squared is 85.
We don’t actually have to solve for r itself, since we will have to square it anyways.
So, we have:

Substituting 85 for r squared, we get:

And we have our equation.
Answer:-5
Step-by-step explanation:
You have your y and k because there + you can - and you get a -5
SOLUTION
Total number of balls is 1000
Red balls are 700
Number of blue balls will be

Hence the number of blue balls is 300.
So you simply subtract 700 from 1000 to get 300.