Answer:
The coordinates of B are (-2 , 9)
Step-by-step explanation:
A (8, 4)
M (3 , -1)
To calculate a midpoint you have to add the corresponding coordinates of each point and divide them by 2
(Ax + Bx) / 2 = Mx
(8 + Bx) / 2 = 3
8 + Bx = 3 * 2
Bx = 6 - 8
Bx = -2
(Ay + By) / 2 = My
( -1 + By) / 2 = 4
-1 + By = 4 * 2
By = 8 + 1
By = 9
The coordinates of B are (-2 , 9)
Answer:
both should
be equal to hope my work is correct or helps
Step-by-step explanation:
first one
-25<-3x+5 subtract 5 from both sides
-25-5=-30
5-5=0
then divide by -3
-30 divided by -3 =10
x=10
so it is equal to not less than
second one
-3x+5<-31
subtract 5 from both sides 5-5=0
-31 -5=-36
then divide both sides by -3
x=12
1
Answer:
the x² test statistic 13.71
Option a) 13.71 is the correct answer.
Step-by-step explanation:
Given the data in the question;
Feeder 1 2 3 4
Observed visits; 
60 90 92 58
data sample = 300
Expected 
= 300 / 4 = 75
the x² test statistic = ?
= ∑[ ( - )²/]
= [ (60 - 75)² / 75 ] + [ (90 - 75)² / 75 ] + [ (92 - 75)² / 75 ] + [ (58 - 75)² / 75 ]
= [ 3 ] + [ 3 ] + [ 3.8533 ] + [ 3.8533 ]
= 13.7066 ≈ 13.71
Therefore, the x² test statistic 13.71
Option a) 13.71 is the correct answer.
Answer:
(7, -3)
Step-by-step explanation:
9x - 3y = 54
9x +1 ly = 12
Subtract both expresion
-3y - 11y = 54 - 12
-14y = 42
y = 42/-14
y = -3
Substitute y = -3 into 1;
From 1, 9x - 3y = 54
9x - 3(-3) = 54
9x - 9 = 54
9x = 54 + 9
9x = 63
x = 63/9
x = 7
Hence the solution to the system of equation is (7, -3)
I hope this helps you
2x and 8x+40 complementary angles
their sum is 180
2x+8x+40=180
10x=140
x=14
