Answer:
A.) 10
Step-by-step explanation:
So draw the points on a graph is the best way to solve the problem, but if you can't then you have to mentally imagine it.
on the X axis B is 5 and C is 11 so the distance or length of the line between the points is 11-5=6
on the Y axis B is 2 and C is -6 so the distance or length of the line between the points is 2-(-6)=8
now you have two lines that can make a right triangle and use the Pythagorean theorem to solve for the long line connecting directly from point B to point C
+
=
so
+
=100=
, z=
=10
1) 2 points:
We need to come up with a function that intersects the graph at two points, meaning has two (x,y) in common with the function. If you look at the graph of y=x^2, you see that it would be quite easy to draw a line that intersects the graph twice. In fact, there are an infinite number of functions that would satisfy this.
One easy function is y=2. This is a horizontal line in which y=2 for all values of x. In the graph y=x^2, y=2 intersects twice.
2=x^2
x^2= √2 or -√2
the shared points are (√2,2) and (-√2,2)
b) one point:
Here, we want to find an equation with only one (x,y) in common with y=x². This is a bit trickier.
One easy solution is y=-x²
Looking at a graph of the two functions, you see that y=-x² is a reflection across the x-axis of y= x². The two functions have only one point in common: (0,0).
c) no point in common
Take another look at the graph of y=x². You see that the function never crosses the x-axis. A simple function that will never intersect the graph is y=-2. Since y is negative for all values of x, it is guaranteed to never intersect y=x², a function in which y is positive for all negative or positive values of x.
Hmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm
^ You again? Quit being sus and answer the question here instead of elsewhere.
To find the mean, all you have to do is add each number and then divide by how many numbers you added.
So, 38 + 29 + 16 + 42 + 33 = 158. There were five numbers added, so the next step is to divide 158 by 5. That equals 31.6 as your answer.
X^2=169
x=√169
x=±13
x=-13 and +13