Answer:
9
Step-by-step explanation:
n2-27=6n
Than n (exponet) 2 - 27 - 6n = 0
Now factor (n-9)(n+3)=0
A line through two points A, B can be found by the point-slope form of the formula:
(y-ya)=m(x-xa)............(1)
and
m=(yb-ya)/(xb-xa).......(2)
where A(xa,ya), B(xb,yb) and m is the slope between points A & B.
Substituting
A(xa,ya)=A(1,3)
B(xb,yb)=B(0,2)
From (2)
m=(yb-ya)/(xb-xa)
=(2-3)/(0-1)
=-1/(-1)
=1
Substitute in (1) : (y-ya)=m(x-xa)
y-3=1(x-1)
Distribute and simplify
y=x-1+3=x+2
or
y=x+2 .................(3a) equation required in slope-intercept form
x-y+2=0...............(3b) equation in standard form
Answer:
<em>p</em> = 2
Step-by-step explanation:
Happy to help.
When we have numbers in parenthesis, we generally want to deal with those first. However, we can hit a rough patch when a variable is in there. Consider this:
2(3 + 4) = 2(7), or 14.
But, the two can also be distributed into both numbers in the parenthesis, like this:
2(3 + 4) = 2*3 + 2*4
That leaves us with the same answer—14! We can apply this to a variable, and that will help us figure out 9(<em>p</em> - 4), or the left side of your equation you presented.
9(<em>p</em> - 4) = -18
9*<em>p</em> - 9*4 = -18
9<em>p</em> - 36 = -18
Add 36 on both sides to isolate the variable (in this case, <em>p)</em>
9<em>p</em> = -18 + 36
You can also write it like this; 9<em>p</em> = 36 - 18
9<em>p</em> = 18
Divide 9 to isolate <em>p</em>
<em>p</em> = 2
So, we would get (<em>p</em> = 2). Make sure to practice a few more questions like these to really get the hang of it—you'll be using this a lot in the future!
Good luck!
Answer:
≈ 3.16 units
Step-by-step explanation:
To determine the distance between the two points, we need to use the distance formula. The distance formula states that;
Given coordinates;
When we substitute the coordinates into the formula, we get;
When we simplify the root, we get;
- units ≈ 3.16 units (Using calculator)
Therefore, the distance between the points is about 3.16 units.
Answer:
504 in.^2
Step-by-step explanation:
Area = base times height