Answer:
m=-3
Step-by-step explanation:
m=y2-y1/x2-x1
m=16-10/5-7
m=6/-2
m=-3
Due to non availability of radius, let's take radius as 4cm
Answer:
The volume of the new container will be 552.64cm^3
Step-by-step explanation:
Please kindly see the attached for detailed explanation
Answer: $12,723.45
Step-by-step explanation:
Details of each play area :
The radius of circle = 18 feet long
Cost of fake grass per square foot = $12.50
Therefore,
We can obtain the Area of the play area by calculating the area of the circle:
Area of a circle = πr^2
Area = π × 18^2
Area = 1,017.876ft^2
Since the cost per square foot is $12.50
Therefore, Cost of 1,017.876 ft^2 equals
Cost per square foot × Area of play area
($12.50 × 1,017.876)
= $12,723.45
Answer:
-10
Step-by-step explanation:
You are asked to tell the y-value of the solution. You can find the whole solution and then report the y-value, or you can just find the y part of the solution. We choose the latter.
This is basically done by eliminating the x-variable. It can be done using the "elimination" method of solving these equations. And it can also be done using the "substitution" method of solving these equations. We choose the latter.
Add 14 to the second equation to solve for x:
... x = y + 14
Substitute this into the first equation.
... 3(y +14) -y = 22
... 2y +42 = 22 . . . . . . simplify
... y +21 = 11 . . . . . . . . divide by 2
... y = -10 . . . . . . . . . . subtract 21
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<em>Comment on additional solution methods</em>
A graphing calculator can show you the solution, as in the attachment. Of the solution (x, y) = (4, -10), we are only interested in y = -10.
Cramer's rule can find just one variable value, too. For that, it is convenient to write the system as ...
- 3x -y = 22
- x - y = 14 . . . . . add 14-y to the equation given
Then the solution for y is ...
... y = (22·1 -14·3)/(-1·1 -(-1)·3) = -20/2 = -10