Answer:
x=2y-8
We use the substitution of x in the second equation
2*(2y-8)+3y= -2
4y-16+3y=-2
7y-16= -2
7y= -2 +16
7y=14
y=14Ș7
y=2
so x= 2*2 -8
x=4-8
x=-4
the solution is (x,y)=(-4, 2)
Step-by-step explanation:
Answer:
w = 17
Step-by-step explanation:
Isolate the variable, w. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& Roots)
Multiplications
Divisions
Additions
Subtractions
~
First, subtract 13 from both sides of the equation:
4w + 13 (-13) = 81 (-13)
4w = 81 - 13
4w = 68
Next, divide 4 from both sides of the equation:
(4w)/4 = (68)/4
w = 68/4
w = 17
w = 17 is your answer.
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First we write equation that consist coordinates of center and radius. That formula goes like this:
(x-x1)^2 + (y-y1)^2 = r^2
x and y are coordinates on any point on circle
x1 and y1 are coordinates of center of circle.
r is radius of that circle. now we need to express our values for center and radius andf square binoms and see what matches in our options.
(x-3)^2 + (y-8)^2 = 5^2
x^2 + y^2 -6x -16y +48 = 0
The answer is first option.
Answer:
The standard deviation = 1.9
Step-by-step explanation:
standard deviation, ρ = sqrt ( 
)
Where u is the mean of the data, 
each given value, and N is the number of data given.
Mean, u = 
= 5.2
So that;
= 
= 0.64
= 
= 0.04
= 
= 10.24
= = 0.04
= 
= 7.84
Sum = 18.8
So that;
= 
= 1.9391
= 1.9
The standard deviation of the given data is 1.9
