Answer:
.
Step-by-step explanation:
Start by finding the slope of the line perpendicular to
.
The slope of
is
.
In a plane, if two lines are perpendicular to one another, the product of their slopes would be
.
Let
denote the slope of the line perpendicular to
. The expression
would denote the product of the slopes of these two lines.
Since these two lines are perpendicular to one another,
. Solve for
:
.
The
is a point on the requested line. (That is,
and
.) The slope of that line is found to be
. The equation of that line in the point-slope form would be:
.
Rewrite this point-slope form equation into the slope-intercept form:
.
Answer:
37.7cm
Step-by-step explanation:
Answer:
21 matches
Step-by-step explanation:
This is a combination problem where we have to select two member out of 7 members
So we want calculation of 7C2
7C2 = 7!/[(2!)(7-2)!]
(7*6*5*4*3*2*1)/[(2*1) *(5*4*3*2*1]
(7*6)/2 ~ Note everything that easily cancels here!
42/2
21 matches
Answer: 6n+1
Process: trial and error (sorry it’s not more i. depth)
Answer:
-2
Step-by-step explanation:
The standard equation of a line is y = mx+c
m is the slope
c is the intercept
Given
Slope = -3
Get the intercept c;
Substitute m = -3 and (1, -9) into y = mx+c
-9 = -3(1) + c
-9 = -3 + c
c = -9 + 3
c = -6
The equation becomes
y = -3x + (-6)
y = -3x-6
f(x) = -3x-6
The zero of f occurs at f(x) = 0
0 = -3x-6
3x = -6
x = -6/3
x = -2
Hence the zero of the function is -2