Answer:
y = -4x - 4
Step-by-step explanation:
If we have two lines in slope intercept form as
then the product of the slopes 
In other words, 
We have the first line as
The slope of this line is 
The slope of a perpendicular line will be the negative of the reciprocal of this line
Reciprocal of 1/4 is 4
So slope of perpendicular line is -4 which implies
y = -4x + c
We have to determine c
Since the line passes through (-3, 8), plug in these values for x and y in the equation and solve for c
8 = (-4)(-3) + c
8 = 12 + c
c = -4
So the equation of the perpendicular line is y = -4x - 4 (Answer)
It is always a good idea to plot these graphs and see if they fit the data provided
The attached plot shows the two graphs and you can see they are perpendicular to each other and the perpendicular line(the answer) passes through point (-3,8)
Answer:
x=3
Step-by-step explanation:
2
x
+
3
=
9
We want to find the variable
x
, so we have to make it alone. To do so, first subtract
3
from both sides of the equation:
2
x
+
3
−
3
=
9
−
3
2
x
=
6
Now divide both sides by
2
:
2
x
2
=
6
2
So the final answer is:
x
=
3
Hope this helps!
Answer:
3z
2
Step-by-step explanation:
Answer:
This is always ''interesting'' If you see an absolute value, you always need to deal with when it is zero:
(x-4)=0 ===> x=4,
so that now you have to plot 2 functions!
For x<= 4: what's inside the absolute value (x-4) is negative, right?, then let's make it +, by multiplying by -1:
|x-4| = -(x-4)=4-x
Then:
for x<=4, y = -x+4-7 = -x-3
for x=>4, (x-4) is positive, so no changes:
y= x-4-7 = x-11,
Now plot both lines. Pick up some x that are 4 or less, for y = -x-3, and some points that are 4 or greater, for y=x-11
In fact, only two points are necessary to draw a line, right? So if you want to go full speed, choose:
x=4 and x= 3 for y=-x-3
And just x=5 for y=x-11
The reason is that the absolute value is continuous, so x=4 works for both:
x=4===> y=-4-3 = -7
x==4 ====> y = 4-11=-7!
abs() usually have a cusp int he point where it is =0
Step-by-step explanation:
Answer:
Step-by-step explanation:
45/3=15
15" of snow melts each day, so after day 1 30" of snow will remain, after day 2 15" will remain and after day 3 all snow will be gone.
