Hey there!
The answer to your question is 
Given:

First, we distribute the negative sign to both terms (
) This would make the
negative and the
positive, so we have:

Add them together and we get:

Have a nice day!
Answer:
midpoint = (5,7)
Step-by-step explanation:
Use the midpoint equations. x1 + x2 / 2 and y1 + y2 / 2
2 + 8 = 10/2 = 5
10 + 4 = 14/2 = 7
Answer: The answer is the picture shown below
Step-by-step explanation:
To do this you will need to make a coordinate plane about 20 up and 20 down. So there is a formula that is y=mx+b which is called the slope intercept form and as you can see the problem given to you was already given in this formula. The variable m in the equation is the slope and slope is also known as rise (which basically means go up if positive and down if negative) over run (which is right if positive and left if negative) and as you can see in the equation the number 4/5 is the variable m. Since slope is rise over run 4 would be the rise and 5 would be the run, so you would go up 4 and right 5 because they are both positive. Now there is another variable that is b which would be the -1. In slope intercept formula b is the y intercept so -1 is where the line would cross the y axis. Now that you know all the parts to the slope you can put it together giving you the answer.
Answer:
We can check this two ways: distributing the -0.5, and plugging in a number for x.
First, we can check this by distributing the -0.5. Our equation becomes:
-1.5x -2.5 = -1.5x + 2.5
Clearly, this is not true. We can show this one more time by plugging in a number for x. I will use 2.
Now, we evaluate both sides and see if they are equal.
-3 - 2.5 = -3 + 2.5
-5.5 = 0.5
Clearly, this is not true. These expressions are not equivalent.
Step-by-step explanation:
The number of the families that need to be surveyed will be 2663.
<h3>What is the margin of error?</h3>
Your results will deviate from the actual population value by how many percentage points, as indicated by the margin of error.
We have the following info:
ME = 50 margins of error desired
= 1000 the standard deviation for this case
The margin of error is given by this formula:
(a) 
And on this case, we have that ME =50 and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b) 
The critical value for the 99% of confidence interval now can be founded using the normal distribution. The significance is
= 0.01. And for this case would be
= 2.58, replacing into formula (b) we got:

So the answer for this case would be n=2663 rounded up to the nearest integer.
To know more about the margin of error follow
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