Slope: rise/run
Up 3, to the left 3
3/3 = 1, the slope is 1
Answer:
x=8
Step-by-step explanation:
The figure is shown in the attached figure.
We have, LK║OM. We need to find the value of x.
It is based on side-splitter theorem. If a line is parallel to third side of a triangle, then the points that intersects the two lines, it divides proportionally.
Using it in given problem. So,
Nk = x+2, KM = x-3, NL = x and LO = x-4
So,
Cross multiplying, we get :
So, the value of x is 8.
Answer:
x=5.657 y=5.657
Step-by-step explanation:
Answer:
<h2>
(e³ - 1)/3e²</h2>
Step-by-step explanation:
Given the function y = e^x between the interval x = -2 and x =1, the average rate of change for the function will be the slope of the function expressed as m = Δy/Δx where;
Δy = f(b)-f(a) and Δx = b-a
m = f(b)-f(a)/b-a where a and b is the interval [-2, 1]
m = f(1)-f(-2)/1-(-2)
m = f(1)-f(-2)/3
Given the function f(x) = e^x,
at the end point x = b, f(1) = e^1; f(1) = e
at the end point x = a, f(-2) = e^-2; f(-2) = 1/e²
m = (e - 1/e²)/3
m = [(e³ - 1)/e²]/3
m = (e³ - 1)/e² * 1/3
m = (e³ - 1)/3e²
Hence, the average rate of change for the function at the interval [-2, 1] is (e³ - 1)/3e²
Answer:
Step-by-step explanation:
Consider the options for this question are as follow,
Here, In triangles ABC and PQR,
AB = c, BC = a, AC = b, PQ = r, QR = p and PR = q,
Since,
We know that,
The corresponding sides of similar triangles are in same proportion,
Thus,