6)
KM bisects on <NKL so m<MKN = m<MKL = 3x + 5
2(m<MKL) + m<JKN = 180
2(3x+5) + 8x + 2 = 180
6x + 10 + 8x + 2 = 180
14x + 12 = 180
14x = 168
x = 12
so
m<MKN = m<MKL = 3x + 5 = 3(12) + 5 = 36 + 5 = 41
answer
b. 41
7)
2 supplementary has sum = 180
x + x + 14 = 180
2x + 14 = 180
2x = 166
x = 83
x + 14 = 83 + 14 = 97
2 angles are 83 and 97
answer
b. 83, 97
Answer:
Answer is below
Step-by-step explanation:
Subtract 4 from both sides.

Divide both sides by -6.

Since this is a fairly small equation, it's pretty easy to plug in a few points to get ordered pairs and sketch a graph:
when x = 0...
f(0) = 2(0)^2
f(0) = 0
(0, 0)
when x = 1...
f(1) = 2(1)^2
f(1) = 2
(1, 2)
when x = -1...
f(-1) = 2(-1)^2
f(-1) = 2
(-1, 2)
from there, you can get a rough sketch of the graph just by plotting those points. essentially, it just looks "skinnier" than your typical parabola because the 2 out front makes the curve steeper.
Let's solve for a.
p
x
=
x
3
−
4
x
2
+
a
Step 1: Flip the equation.
x
3
−
4
x
2
+
a
=
p
x
Step 2: Add -x^3 to both sides.
x
3
−
4
x
2
+
a
+
−
x
3
=
p
x
+
−
x
3
−
4
x
2
+
a
=
−
x
3
+
p
x
Step 3: Add 4x^2 to both sides.
−
4
x
2
+
a
+
4
x
2
=
−
x
3
+
p
x
+
4
x
2
a
=
−
x
3
+
p
x
+
4
x
2
Answer:
a
=
−
x
3
+
p
x
+
4
x
2
Answer:
The answer is $25
Step-by-step explanation:
First you would see how much it costs for 3 pairs of pants that we're both $25. Then you would subtract that total by 100. The total was $75 btw.
Hope this helped luv :)