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gavmur [86]
2 years ago
9

Give an equation of a line that is parallel to −3x + 7y =4. Explain why your line is parallel to the given line and how you arri

ved at your answer.
Mathematics
1 answer:
koban [17]2 years ago
3 0

Answer:

  3x -7y = 0

Step-by-step explanation:

Parallel lines have the same slope.

Changing the constant in a linear equation like this only changes the y-intercept. It has no effect on the slope of the line. So, we can change the constant from 4 to 0 and we will have a line with the same slope, parallel to the original, but with a different y-intercept.

The "standard form" of the equation of a line has the leading coefficient positive. We can make that be the case by using the multiplication property of equality, multiplying both sides of the equation by -1.

Parallel line:

  -3x +7y = 0

In standard form:

  3x -7y = 0

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3 years ago
A ratio of a TV's width to its height is 16:9. If its width is 32 inches, what is the length of its diagonal? Give your answer t
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36.7

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2 years ago
A cube with edges that measure 10 centimeters has a volume that is twice as much as a cube with sides that measure 5 centimeters
rodikova [14]

Answer:

False

Step-by-step explanation:

We find the volumes of the two cubes and compare them.

volume of cube = side^3

The volume of the 10-cm cube is:

V = (10 cm)^3 = 1000 cm^3

The volume of the 5-cm cube is:

V = (5 cm)^3 = 125 cm^3

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The statement is false.

7 0
3 years ago
Evaluate the expression
fgiga [73]
Simplify the following:
2^3 (4×36/12 + 1/4)

4×36/12 = (4×36)/12:
2^3 ((4×36)/12 + 1/4)
2^3 = 2×2^2:
2×2^2 ((4×36)/12 + 1/4)
2^2 = 4:
2×4 ((4×36)/12 + 1/4)
2×4 = 8:
8 ((4×36)/12 + 1/4)
36/12 = (12×3)/12 = 3:
8 (4×3 + 1/4)
4×3 = 12:
8 (12 + 1/4)
Put 1/4 + 12 over the common denominator 4. 1/4 + 12 = 1/4 + (4×12)/4:
8 1/4 + (4×12)/4
4×12 = 48:
8 (1/4 + 48/4)
1/4 + 48/4 = (1 + 48)/4:
8 (1 + 48)/4
1 + 48 = 49:
8×49/4

8×49/4 = (8×49)/4:
(8×49)/4
8/4 = (4×2)/4 = 2:
2×49
2×49 = 98:
Answer: 98
4 0
3 years ago
Put the numbers into the boxes to represent the sum of the rational expression<br> given below.
Reika [66]

Answer:

\frac{4x+9}{2x+5}

Step-by-step explanation:

  • Cross multiply.
  • Add like terms.
  • Simplify.
7 0
3 years ago
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