The mean of the following dot plot:
Mean: 3
Step-by-step explanation:
0 x 1 = 0
3 x 1 = 3
6 x 1 = 6
(we only add the numbers that only has a dot on the number in the dot plot)
So:
Mean: 0 + 3 + 6 = 9/3 = 3
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this was my previous answer from your other question
Answer:
K(-4,8) is the ortho center.
Step-by-step explanation:
In a right angled triangle, The vertex of the right angle is the ortho center.
Here we are given
J(-4,-1), K(-4,8) & L(2,8)
Using distance formula we get
![JK^{2}= (-4+4)^{2}+ (8+1)^{2}=0+81=81](https://tex.z-dn.net/?f=JK%5E%7B2%7D%3D%20%28-4%2B4%29%5E%7B2%7D%2B%20%288%2B1%29%5E%7B2%7D%3D0%2B81%3D81)
![KL^{2}= (-4-2)^{2}+ (8+-8)^{2}=36+0=36](https://tex.z-dn.net/?f=KL%5E%7B2%7D%3D%20%28-4-2%29%5E%7B2%7D%2B%20%288%2B-8%29%5E%7B2%7D%3D36%2B0%3D36)
![JL^{2}= (-4-2)^{2}+ (8+1)^{2}=36+81=117](https://tex.z-dn.net/?f=JL%5E%7B2%7D%3D%20%28-4-2%29%5E%7B2%7D%2B%20%288%2B1%29%5E%7B2%7D%3D36%2B81%3D117)
So we can say that
![JK^2 + KL^2=JL^2](https://tex.z-dn.net/?f=JK%5E2%20%2B%20KL%5E2%3DJL%5E2)
By converse of pythagorean theorem we get
![](https://tex.z-dn.net/?f=%3CK%20%3D%2090%C2%B0)
Hence the Vertex of the right angle is K(-4,8)
K(-4,8) is the ortho center.
Step-by-step explanation:
equation y = ![6^{x}](https://tex.z-dn.net/?f=6%5E%7Bx%7D)
When x = -1
y =
=
(Answer)
When x = 0,
y =
= 1 (Answer)
When x = 3,
y =
= 216 (Answer)
Answer:
75
Step-by-step explanation:
100-25=75
(
−
4
,
−
5
)
(
-
4
,
-
5
)
s
l
o
p
e
=
1
2
s
l
o
p
e
=
1
2
Find the value of
b
b
using the formula for the equation of a line.
b
=
−
3
b
=
-
3
Now that the values of
m
m
(slope) and
b
b
(y-intercept) are known, substitute them into
y
=
m
x
+
b
y
=
m
x
+
b
to find the equation of the line.
y
=
1
2
x
−
3