Answer:
Option B.
Step-by-step explanation:
The given vertices of triangle ABC are (-1, -1), (-1, -5) and (0.5, -5).
We need to find the coordinates of triangle when it is translated two units left.
So, the rule of translation is
Using this rule, we get
The vertices of triangle A'B'C' are A'(-3,-1), B'(-3,-5) and C'(-1.5,-5).
Therefore, the correct option is B.
Answer:
y = 1
Step-by-step explanation:
Passes through (6,-1)(6,-1)
Find the slope (m)
m=(y2 - y1) / (x2 - x1)
m=(-1 - (-1) ) / (6-6)
m= 0
Parallel to x - 3y = 3
-3y = -x +3
y = 1/3 x -1
Equation of the line equation is y - y1 = m ( x - x1 )
y - ( -1 ) = 0 ( x - 6 )
y + 1 = 0
y = 1
Answer:
What is the sample variance of bottle weight 2.33
Step-by-step explanation:
First find the mean. The mean of the bottle weight is obtained by taking the ratio of the sum of ages and total number of ages.
Mean = (4+2+5+4+5+2+6) / 7
= 28 / 7
= 4
Sample Variance = ![\frac{\left[\begin{array}{ccc}(4-4)^{2} +(2-4)^{2} +\\(5-4)^{2} + (4-4)^{2} +\\(5-4)^{2} + (2-4)^{2} +\\(6-4)^{2}\end{array}\right]}{7-1}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D%284-4%29%5E%7B2%7D%20%2B%282-4%29%5E%7B2%7D%20%2B%5C%5C%285-4%29%5E%7B2%7D%20%2B%20%284-4%29%5E%7B2%7D%20%2B%5C%5C%285-4%29%5E%7B2%7D%20%2B%20%282-4%29%5E%7B2%7D%20%2B%5C%5C%286-4%29%5E%7B2%7D%5Cend%7Barray%7D%5Cright%5D%7D%7B7-1%7D)
=
= 2.33
Answer:
x = (-16)/43
Step-by-step explanation:
Solve for x:
(-5 x)/4 - 2 = -2 (6 x + 3)
Put each term in (-5 x)/4 - 2 over the common denominator 4: (-5 x)/4 - 2 = (-5 x)/4 - 8/4:
(-5 x)/4 - 8/4 = -2 (6 x + 3)
(-5 x)/4 - 8/4 = (-5 x - 8)/4:
(-5 x - 8)/4 = -2 (6 x + 3)
Multiply both sides by 4:
(4 (-5 x - 8))/4 = -2×4 (6 x + 3)
(4 (-5 x - 8))/4 = 4/4×(-5 x - 8) = -5 x - 8:
-5 x - 8 = -2×4 (6 x + 3)
4 (-2) = -8:
-5 x - 8 = -8 (6 x + 3)
Expand out terms of the right hand side:
-5 x - 8 = -48 x - 24
Add 48 x to both sides:
48 x - 5 x - 8 = (48 x - 48 x) - 24
48 x - 48 x = 0:
48 x - 5 x - 8 = -24
48 x - 5 x = 43 x:
43 x - 8 = -24
Add 8 to both sides:
43 x + (8 - 8) = 8 - 24
8 - 8 = 0:
43 x = 8 - 24
8 - 24 = -16:
43 x = -16
Divide both sides of 43 x = -16 by 43:
(43 x)/43 = (-16)/43
43/43 = 1:
Answer: x = (-16)/43
24 because 12 times 2 is equal to 24
