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sineoko [7]
3 years ago
14

Solve by elimination

Mathematics
1 answer:
-Dominant- [34]3 years ago
4 0

Answer:(4,1)


Step-by-step explanation:

-x+3y=-1

X-2y= 2

______

Change second equation move all to right side to leave x on left side .

-x+3y= -1

X= 2y+2


Now substitute second equation that you made into first equation to find y.

-(2y+2)+3y= -1

-2y-2+3y=-1

Y-2=-1

Y= -1+2

Y= 1

Now substitute your answer of y into second equation you created to find x .

X= 2y+2

X= 2(1)+2

X=2+2

X=4


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a 1ft long piece of wire needs to be divided into two pieces which will form the shape of a circle and a square. Determine the l
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Answer:

Length of wire for circle is 0.44 ft

Length of wire for square is 0.56 ft

Step-by-step explanation:

Let x is circumference of the circle

then

(1-x) = perimeter of the square

Find the radius of the circle

r =  (x/2.π)

Find the area of the circle

a =  π(x/2π)^2

a =  π(x^2/4π^2)

Cancel π

a =  x^2/4π

Find the area of the square:

a =  (1-x/4)^2

a =  (1-2x+x^2)/16

Total area

A =  (x^2/4π)+(1-2x+x^2/16)

A = 4x^2+3.142-6.284x+3.142x^2

A = 7.142x^2-6.284x+3.142

Find the axis of symmetry [x = -b/(2a)]

x =  -(-6.284)/{2.(7.142)}

x =  6.284/14.284

x = 0.44 ft, the piece of wire creating a circle

and

1 - 0.44 = 0.56 ft, the piece of wire creating the square

These lengths should give minimum area of the circle and square together

7 0
3 years ago
Los 3/4 de un número es 120. ¿Cuál es el número?
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5 0
2 years ago
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I need the answer quick I have a time limit ( I only get an hour to complete the assignment heh )
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Answer:

C (the third table, from the second picture).

Step-by-step explanation:

First, we need to find the slope of the graph.

Two conspicuous points are (0, -3) and (2, 1).

The slope is: (1 - -3) / (2 - 0) = (1 + 3) / 2 = 4 / 2 = 2.

A: In the table, the y-values increase by 2, while the x-values increase by 4. 2 / 4 = 1 / 2 = 0.5. The slope is not the same as the graph.

B: In the table, the y-values decrease by 2, while the x-values increase by 4. -2 / 4 = -1 / 2 = -0.5. The slope is not the same as the graph.

C: In the table, the y-values increase by 4, while the x-values increase by 2. 4 / 2 = 2 / 1 = 2. The slope is the same as the graph, so C is your answer.

D: In the table, the y-values decrease by 4, while the x-values increase by 2. -4 / 2 = -2 / 1 = -2. The slope is not the same as the graph.

Hope this helps!

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