1. NIL
2. ZERO
3. OH
4. NOUGHT
5. LOVE
Hope this helps!
Answer:
Step-by-step explanation:
1)
First we add what we know for y into the second equation.
5x - 4(x +2)= -3
From there, we simplify it
5x-4x-8= -3
x-8=-3
Now we get the x on its own
x=5
and now we add x=5 into the first equation that we had and simplify to find y
y=5+2
y=7
So the answer is x=5, y=7 or (5,7)
2)
For this one we do the same thing as with 1.
Add what we know for y (bottom equation) to the top equation
3x-8(x-8)=24
Now we simplify
3x-8x+64=24
-5x+64=24
And now solve for X
-5x=-40
x=8
And then substitute x=8 to find y
y=8=8
y=0
So the answer is x=8, y=0 or (8,0)
The quickest way to tell if a line is perpendicular is to find the slope, so you'll need to get the slope for both lines
PQ = ((-8) - (-9))/(2 - 0) = 1/2
and, for reference, a perpendicular slope is the negative reciprocal of the original (so we're looking for -2)
RS = (3 - 4)/(3 - 1) = -1/2
so, no, these two lines aren't perpendicular because the slope of RS is only the negative of PQ, not the negative <em>reciprocal</em>.
Answer:
- perimeter: 56 units
- area: 192 square units
Step-by-step explanation:
We assume you're interested in the convex polygon, so the given vertices are <em>not</em> listed in order around the figure.
The figure is 12 units by 16 units, so has a perimeter of ...
P = 2(L +W)
P = 2(16 +12) = 56 . . . . units
and an area of ...
A = LW
A = (16)(12) = 192 . . . . square units
