Solving the given system of equations we get solution set: {(4,0),(0,4)}
Option B is correct.
Step-by-step explanation:
We need to find the solution set of the following equations:
Let:
Finding value of x from eq(1) and putting in equation (2)
Putting values of y=4 and y=0 in equation(1), to find values of x:
Putting y=4
So, one solution is (0,4)
Putting y=0
So, other solution is: (4,0)
Hence Solving the given system of equations we get solution set: {(4,0),(0,4)}
Option B is correct.
Keywords: System of equations
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Answer:
1224 cm^3
Step-by-step explanation:
The shape of the box is a rectangular prism.
The volume of a rectangular prism is given by the formula below.
volume = length * width * height
volume = 10.2 cm * 15 cm * 8 cm
volume = 1224 cm^3
I believe it is 2 feet because area is base multiplied by height. So, 3 x 2/3 is 2.
Fencing a garden would be Perimeter because your trying to find how much fencing you would need so you can surround the garden.
The area of the garden is how much space there is. Ex. 5ft×9.5ft=47.5ft² . The 5ft would be the length of the garden, and the 9.5ft would be the width. But to find area, you would need to do L×W, or 5ft×9.5ft in this case for area.
But to find Perimeter, you need to do L+L+W+W. If we use the numbers from before for the area example, you would be doing 5ft+5ft+9.5ft+9.5ft, you would be getting 29ft.
If you want the definitions to better understand this, here they are:
Perimeter: the total distance around the edge of the figure.
Area: the number of unit squares that can be contained within it.(hence the reason "²" was at the end of the total in the example for area I provided.)
Answer:
y = (x+5)^2 +1
increasing on domain (-5,∞)
decreasing on domain (-∞, -5)
Step-by-step explanation:
First identify what is the basic function. It is x^2.
Next you see that it isn't at the (0,0) point in the center, but it is to the left by 5 places. This means it was translated to the left by 5 units, to write that you use positive sign inside the parenthesis so (x+5)^2.
Then it is moved up by 1, so it is +1.
the function increases from (-5 to infinity) and decreases from negative infinity to -5). We don't use [ or ] because -5 is neither increasing or decreasing.
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