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grin007 [14]
3 years ago
7

can you write an equation by setting an expression equal to itself. would an equation like this be true

Mathematics
2 answers:
Rashid [163]3 years ago
8 0

Of course !  An expression is <u>always</u> equal to itself.

But if there's, say, an 'x' in the expression, then such an equation would be true
for x=every possible number.  You might say it has an infinite number of solutions ...
which certainly has to be true, because no matter what you do to an expression,
it's still always equal to itself !

 
tensa zangetsu [6.8K]3 years ago
4 0
Yes it would be as long as it truly equals eachother
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A 42-inch piece of steel is cut into 3 pieces so that the 2nd piece is twice as long as the 1st piece, and the 3rd piece is 2 in
Galina-37 [17]

Answer:

1st piece = Piece A = 5 inches

2nd piece = Piece B = 10 inches

Third Piece = Piece C = 27 inches

Step-by-step explanation:

A 42-inch piece of steel is cut into 3 pieces

Let the lengths be represented as:

1st piece = Piece A

2nd piece = Piece B

Third Piece = Piece C

Hence:

A + B + C = 42

The 2nd piece is twice as long as the 1st piece

B = 2A

The 3rd piece is 2 inches more than 5 times the length of the first piece.

C = 5A + 2

Hence: we substitute

A + B + C = 42 inches

A + 2A + 5A + 2 = 42 inches

8A = 42 - 2

8A = 40 inches

A = 40 inches/8

A = 5 inches

Solving for B

B = 2A

B = 2 × 5 inches

B = 10 inches

Solving for C

C = 5A + 2

C = 5 × 5 + 2

C = 25 + 2

C = 27 inches

Therefore, the lengths of the 3 pieces =

1st piece = Piece A = 5 inches

2nd piece = Piece B = 10 inches

Third Piece = Piece C = 27 inches

4 0
3 years ago
BRIA is a rectangle. AN=5. NR=x-3. please solve for x, NR, and BI
Lena [83]

Answer:

x=8

NR=5 units

BI=10 units

Step-by-step explanation:

In  a rectangle BRIA

AN=5 units

NR=x-3

We have to solve for x , NR and BI.

We know that

Diagonals of rectangle bisect to each other.

BI and AR are the diagonals of rectangle BRIA and intersect at point N.

AN=NR

5=x-3

x=5+3=8

x=8

Substitute the value of x

NR=8-3=5

By property of rectangle

BI=AR=AN+NR=5+5=10 unit

BI=10 units

7 0
3 years ago
A rectangular tank that is 2048 ft cubed with a square base and open top is to be constructed of sheet steel of a given thicknes
ira [324]

Answer:

The box should have base 16ft by 16ft and height 8ft Therefore,dimensions are 16 ft by 16 ft by 8 ft

Step-by-step explanation:

We were given the volume of the tank as, 2048 cubic feet.

Form minimum weight, the surface area must be minimum.

Let the height be h and the lengths be x

the volume will be: V=x²h then substitute the value of volume, we have

2048=hx²

hence

h=2048/x²

Since the amount of material used is directly proportional to the surface area, then the material needs to be minimized by minimizing the surface area.

The surface area of the box described is

A=x²+4xh

Then substitute h into the Area equation we have

A= x² + 4x(2048/x²)

A= x² + 8192/x

We want to minimize

A

dA/dx = -8192/x² + 2 x= 0 for max or min

when dA/dx=0

dA/dx= 2x-8192/x²=0

2x=8192/x²

Hence

2x³=8192

x³=4096

x=₃√(4096)

X=16ft

Then h=2048/x²

h=2048/16²

h=8ft

The box should have base 16ft by 16ft and height 8ft

Hence the dimensions are 16 ft by 16 ft by 8 ft

8 0
3 years ago
What is the equation of the line that is parallel to y=6x−1 and passes through the point (−3,4)?
BabaBlast [244]

Answer: y = 6x + 22

Step-by-step explanation:

Parallel lines have same slope. So, a line parallel to y = 6x − 1 is y = 6x + c.

Now to find c, put (-3,4) to this equation since the line passes through the point.

4 = 6 × -3 + c

4 = -18 + c

4 + 18 = c

c = 22

So, equation is y = 6x + 22

3 0
3 years ago
Read 2 more answers
A fair spinner has 9 equal sections: 4 red, 3 blue and 2 green.
Gennadij [26K]

Answer:

14/81

Step-by-step explanation:

The probability of getting a green is number of green sections ÷ total number of sections = 2/4+3+2 = 2/9

Probability of not getting a green is = 1 - probability of getting a green = 1 - 2/9 = 7/9

Now we calculate the probability of not getting 2 consecutive greens. I.e probability of getting a green the first time and not getting it the second time= (2/9 × 7/9) = 14/81

6 0
3 years ago
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