Answer:
1156
Step-by-step explanation:
We know that,
( a + b ) ² = a² + 2ab + b²
We can follow the same method to find the value of this.
12² + 22²
( 12 + 22 ) ²
12² + 2 × 12 × 22 + 22²
144 + 24 × 22 + 484
144 + 528 + 484
672 + 484
<u>1156</u>
Let me know if you have any other questions. :)
Answer:
See attached
Step-by-step explanation:
In the questions, find the equation of the dash line then apply the appropriate inequality sign.
In the first one, take points (-3,2) and (0,1) find the gradient and slope of the line.
slope of line, m=Δy/Δx
Δy=1-2=-1
Δx= 0--3=3
m= -1/3
Finding the equation of the line;
y-1/x-0 = -1/3
3y-3 =-x
3y=-x+3
y=-1/3 x+1
The inequality can be ;
y> -1/3 x +1 or y<-1/3 x +1 depending on the shaded region as attached
In 2.
You have two graphs that provide the solution of the inequality.
In the graph represented by line 1, where you have points (-3,-4) and (-5,-5)
The slope will be,
m=-5--4/-5--3
m=-5+4/-5+3
m=-1/-2 = 1/2
The equation will be;
y--4/x--3= 1/2
y+4/x+3= 1/2
2y+8=x+3
2y=x+3-8
2y=x-5
y=1/2x -2.5
In the line with points (-3,-4) and (1,-6)
m=-6--4/1--3
m=-6+4/1+3
m=-2/4 = -1/2
Finding the equation of the line
y--4/x--3 = -1/2
2(y+4) = -1 (x+3)
2y+8 =-x-3
2y=-x-3-8
2y=-x-11
y= -1/2x-5.5
The inequality can be ;
y>1/2x + 2.5
y> -1/2x -5.5
or
y< 1/2 x +2.5
y< -1/2x-5.5
Depending on the area shaded as show in the attached graphs
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Keywords : Inequalities, graph solutions
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Answer:
$20 because 2x4=8 3x4=12 12+8=20
Step-by-step explanation:
It would be O 945 that is the answer
Answer:
0.077994
Step-by-step explanation:
Given that the owner of a local nightclub has recently surveyed a random sample of n = 250 customers of the club.

(Right tailed test)
Sample size = 
Sample mean = 30.45
Mean difference =
Sample std dev s = 5
Sample std error = 
Test statistic = Mean diff/std error = 
Since population std deviation is not know we use t test
p value = 