Answer:
(-1, -1) Let me know if the explanation didn't make sense.
Step-by-step explanation:
If we graph the three points we can see what looks like a quadrilateral's upper right portion, so we need a point in the lower left. This means M is only connected to N here and P is only connected to N. So we want to find the slope of these two lines.
MN is easy since their y values are the same, the slope is 0.
NP we just use the slope formula so (y2-y1)/(x2-x1) = (-1-3)/(5-4) = -4.
So now we want a line from point M with a slope of -4 to intersect with a line from point P with a slope of 0. To find these lines weuse point slope form for those two points. The formula for point slope form is y - y1 = m(x-x1)
y-3 = -4(x+2) -> y = -4x-5
y+1 = 0(x-5) -> y = -1
So now we want these two to intersect. We just set them equal to each other.
-1 = -4x -5 -> -1 = x
So this gives us our x value. Now we can plug that into either function to find the y value. This is super easy of we use y = -1 because all y values in this are -1, so the point Q is (-1, -1)
Answer:
Ok, here goes: f(3) means take f(x) and plug in 3 wherever we see x. So
f(3) = 12*39 + 3 = 236196 + 3
f(3) = 236199
Likewise, f(-3) means take f(x) and plug in (-3) wherever we see x. So
f(-3) = 12*(-3)9 + (-3) = -236196 - 3
f(-3) = -236199
Putting those two things together, we get
f(3) + f(-3) = 236199 - 236199 = 0
Step-by-step explanation:
Step 1. Use the Quotient Rule: x^a/x^b = x^a-b
|-10^5-3|
Step 2. Simplify 5 - 3 to 2
|-10^2|
Step 3. Simplify 10^2 to 100
|-100|
Step 4. Simplify
100
Assuming we’re talking about a cylinder, whose volume formula is V = pi r^2 h…
It will have a greater effect to change a variable’s value that has a greater power on it.
Changing h from 1 to 2 doubles the volume.
Changing r from 1 to 4 quadruples the volume, because 1^2 = 1 and 2^2 = 4. The effect of the change on r is amplified by the power.
Here, to make your day a little better<3
