Answer:
y = -x - 2
Step-by-step explanation:
Simplifying the equation of our line;
y - 1 = (x + 2)
y = x + 3
The slope of our line is 1
The slope of the perpendicular line(s) must be -1 (the product of slopes of two perpendicular lines = -1)
The line whose slope is -1 (from the choices) is the one whose equation is:
y = -x - 2
1234 multiplied by 0.22(22%) equals 271.48.
1234-271.48=962.52(A)
Answer:
Step-by-step explanation:
Here's how you solve this problem:
1. Solve for the slope in between the two points using (y2-y1)/(x2-x1)
For this problem that would be: (5-11)/(4+2), so the slope would be -1
2. Put that slope in a slope-intercept form equation and solve for the y-intercept.
Slope-Intercept Form: y=mx+b
y=-x+b
To solve for the y-intercept, use one of the coordinate pairs and input x and y.
11=-(-2)+b
9=b
3. Put that y-intercept back in the equation: y=-x+9
(g o f)(x)=g(f(x))
so
(g o f)(0)=g(f(0))
find f(0) and subsitute for x in g(x)
I'm assuming you mean f(x)=-5x+1
f(0)=-5(0)+1=1
g(f(0))=g(1)=1^3=1
(g o f)(0)=1
Since we do not know anything about angles, all we can do is to give the maximum and minimum lengths of the third side using the triangle inequality, which is:
the sum of lengths of the two shorter sides of a triangle must be GREATER than the third side (say X)
If 9 and 14 are the shorter sides, then the sum of 9 and 14 must be greather than the third side, X. => 9+14=23>X, or X<23. .................(1)
If 14 is the longest side, then 9+third side (X) must be greater than 14, or 9+X>14, or X>14-9=5, or X>5, or 5< X ..............................(2)
Combining conditions (1) and (2)
5 < X < 23
OR
X must be greater than 5 AND X must be less than 23
OR
X must be between 5 and 23.
