Slope-intercept form: y = mx + b [m is the slope, b is the y-intercept or the y value when x = 0 ---> (0, y) or the point where the line crosses through the y-axis]
For a line to be perpendicular to another line, the slope has to be the negative reciprocal of the original line's slope.
For example:
Slope(m) = 
Perpendicular line's slope:
or -2 [positive to negative]
m =
or -3
Perpendicular line's slope:
[negative to positive]
y = -x + 3
m = -1 So the perpendicular line's slope is 1, now plug it into the equation
y = mx + b
y = x + b To find b, plug in the point (3, 1) into the equation
1 = 3 + b Subtract 3 on both sides to get b by itself
1 - 3 = 3 - 3 + b
-2 = b The y-intercept is -2
Answer:
The first one is by using your mind. If you know that factorial of any non negative integer denoted by n!
defined as
n!=n(n−1)(n−2)⋯3⋅2⋅1
then 5!=5∗4∗3∗2∗1. You can calculate it in your mind which will give you 5!=120.
That's it.
The next method is using your calculator. In my calculator Casio fx-991es, I pressed 5 and then shift+x−1
button and I got 120. Similarly, you can use Google to calculate it like I did and got this.
Step-by-step explanation:
In the group A we have shapes with no right angles, and in group B we have shapes with at least 2 right angles.
For
(c+d)(ex+f)
the expanded form is
dex^2+dex+cfx+df
(ce)x^2+(de+cf)x+(df)
ax^2+bx+c
the value of a is ce
the value of b is de+cf
the value of c is df
so
(-2x+3)(x+8)
(-2x+3)(1x+8)
b is 3*1+-2*8=3-16=-13
answer is -13
so pick 13 because we have -B, so B=13