Graph the system of equations. Then determine whether the system has no solution, one solution, or infinitely many solutions. If
the system has one solution, name it.
y= -6x + 6
y= 3x - 3
y= -6x + 6
y= 3x - 3
2 answers:
Answer:
The system has one solution at (1,0).
Step-by-step explanation:
Consider the provided system of equations
y=-6x+6
Substitute x = 0 in above equation.
y=-6(0)+6
y=6
The coordinate is (0,6)
Now substitute y=0 in the above equation.
0=-6x+6
-6=-6x
x=1
The coordinate is (1,0)
Now use the coordinates (0,6) and (1,0) in order to draw the graph.
The graph of y= -6x + 6 is shown in figure 1.
Similarly, consider the second equation y= 3x - 3
Substitute x = 0 in above equation.
y=3(0)-3
y=-3
The coordinate is (0,-3)
Now substitute y=0 in the above equation.
0=3x-3
3=3x
x=1
The coordinate is (1,0)
The graph of y= 3x - 3 is shown in figure 2.
Now draw the graph of both equation as shown in figure 3.
By observing the graph it can be concluded that the system has one solution at (1,0)
Hence, the system has one solution at (1,0).
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Answer:
<em>1885.5 m^3 of water</em>
<em></em>
Step-by-step explanation:
I'll assume this is the complete question
<em>Lauren has an above-ground pool. To keep the pool's skimmer working well, the water level must be 4 inches from the top of the pool. When the pool is filled to this recommended level, approximately how many cubic feet of water will it contain? Use π = 3.14 </em>
<u><em>The pool forms</em></u><em> a cylinder with a radius of 12 feet and a height of 4.5 feet.</em>
<em></em>
height of pool = 4.5 ft
radius of pool = 12 ft
height of water is 4 inches below pool top
<em>12 inches make 1 ft</em>
4 inches = 4/12 ft = 0.33 ft
Therefore, height of water = 4.5 - 0.33 = 4.17 ft
<em>volume of the water in this section of the cylinder will be equal to the volume of the cylinder formed</em>
volume of cylinder formed by the water = volume of water = πh
volume = 3.14 x x 4.17 = <em>1885.5 m^3 of water</em>
<u>Final Answer:</u>
x = 20
<u>Step-by-step explanation:</u>
we'll be using the pythagorean theorem method, in this triangle the missing letter is a.
formula:
a = x
b = 21
c = 29
a =
a = (note: 29² = 29 × 29 = 841 and 21² = 21 × 21 = 441)
a =
a = 20
x = 20