Answer:
Step-by-step explanation:
Perpendicular means that the slopes of the "old" line and the "new" line are opposite reciprocals; bisector means that the "new" line goes directly through the center of the "old" line. This perpendicular bisector, then, will go directly through the center of the "old" line, cutting it directly in half and leaving in its wake a 90 degree angle. To write this equation, then, of the perpendicular bisector, we need the slope of the old line and the midpoint of the old line. Let's work on the midpoint first:
So the "new" line will go through this point.
Onto the slope:
so the slope is
m = -4. That means that the perpendicular slope is
Now we're ready to write the equation:
and
and finally,
Answer:
b^-6
Step-by-step explanation:
(b^-2) / (b^4) = b^(-2 - 4)
Answer:
As you noted, ∠PRS=80°. Take the triangle △TRS: we know two angles out of three, so that ∠TSR=45°. Now take the isosceles triangle △PTS: the two angles adjacent to the base PT are equal to 35°, so the third angle ∠PST=110° and then ∠PSR=65°. This is one of the two angles adjacent to the base of an isosceles trapezoid: knowing it, you can easily complete the solution.
Answer:
m = 4.5
Step-by-step explanation:
2 = 2m - 7
add 7 to both sides
9 = 2m
divide by 2 on each side
4.5 = m
CHECK:
2 = 2(4.5) -7 (TRUE)
2 · 4.5 = 9
9 - 7 = 2
I hope this helps!
So the equations are:
y= 3x + 3
y= x- 1
By the transitive property, we know x-1= 3x+3 (Transitive property means if a= b, and b= c, shouldn't a = c if they both equal b?)
so, x- 1= 3x + 3. Now we isolate x and solve:
+1 +1
x= 3x+ 4
-x -x
0 = 2x+ 4
-4 -4
-4 = 2x
/2 /2
x= -2
Now, you can plug that back in to find y:
y = x- 1
y= -2 -1
y= -3
Then plug them both in to make sure it is correct. :o)
