Answer and Step-by-step explanation:
1) If you graph the lines, you will get the lines in the first attachment. You will see that the intersection point is (3, 5), which is the solution to that system.
2) First, let's convert both of these into slope-intercept form so that they're easier to graph.
x - 3y = 2
x = 3y + 2
3y = x - 2
y = 
AND
-3x + 9y = -6
9y = 3x - 6
y = 
We see that these two lines are exactly the same, which means that no matter what coordinate works for one, it will work for the other. In other words, there are infinitely many solutions.
And, if you graph these lines, you will get the graph in the second attachment, where they are the same line.
Hope this helps!
Answer:
Step-by-step explanation:
find the value of t
C = to squares diagonal length
Pythagoras theorem: a^2 + b^2 = c^2
5^2+5^2=c^2
25+25=c^2
50=c^2
square root so c would be about 7.071
Since the diagonal is less than the diameter of the circle, the square will fit inside without touching the edge
Answer:
The interpretation of that same problem is listed throughout the section below on explanation.
Step-by-step explanation:
Interpretation:
Researchers seem to be confident with 95% that the sample selection standard error seems to be + as well as - 4 percent respectively.
This same margin of sampling error would then decrease from either the mean or average value by four percentage points smaller or even larger, it describes the survey method.
Yw :)
Answer:
1 1/12
Step-by-step explanation:
b-7/4=-2/3
First, in an equation like this, you add 7/4 to each side which will look like this:
b-7/4=-2/3
+7/4=+7/4
We add 7/4 to each side of the equation to balance the numbers.
b=+7/4-2/3 (because the minus symbol is in front, we put that)
Before adding we have to find the least common denominator known as LCD.
We find that by first looking at the denominators or the fractions which are 4,3
4,8,\12/,16,20,24.
3,6,9,\12/,15,18,21,24.
We can also find the LCD by multiplying 3 and 4. As you can see in the list, there are 12's in each list of numbers. We use that to change our fractions.
From the number 4 we find out how many times (x) we have to add 4 to get 12. We do 12/4 which is 3. And 12/3 which is 4.
7 x 3 2 x 4
------- - -------
4 x 3 3 x 4
which equals 21/12-8/12. Now that we have a common denominator, we can subtract.
21 8 13
--- - --- = ----- = 1 
12 12 12
I hope this helps, please let me know if I have any incorrections. :D
