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ivann1987 [24]
3 years ago
5

Find, to four significant digits, the distance between the graphs of 2x-3y+4=0 and 2x-3y+15=0.

Mathematics
1 answer:
shepuryov [24]3 years ago
4 0
In analytical geometry, we can find the linear distance between two parallel lines by determining the coefficients of the variables and the constants. The general equation for a linear equation is: Ax + By = C. 

Line 1: 2x - 3y = -4
Line 2: 2x - 3y = -15

In this case, A=2 and B=-3. The constants are C₁ = -4 and C₂ = -15. The distance follows this formula:

d = |C₁ - C₂|/(√(A²+B²)
d = |⁻4 - ⁻15|/(√(2²+⁻3²)
d = 3.051 units
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alina1380 [7]
E=mc^2 if m=3 and c=6

e=3(6^2)

e=3(36)

e=108
8 0
3 years ago
Read 2 more answers
What is x and y equal in: -2X-y=3 and x+2y=4 (find x and y using elimination)
makvit [3.9K]
-2x-y=3    ...(1)
x+2y=4    ...(2)
multiply (2) by 2 and add to (1)
-2x-y+2x+4y=3+8
3y=11
y=11/3
from (2)
x=4-2y=4-2(11/3)
or x=4-(22/3)
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3 0
3 years ago
Simplify the expression.<br><br> 10h + 6 − 5h + 3
inn [45]

Answer:

Combine like terms. The like terms in this equation are the h’s and the real numbers. Add or subtract both of the same terms and that is the simplified answer.

10h-5h+6+3

5h+9

:)

6 0
3 years ago
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Using the equation x+3, write one equation that has one solution, one equation that has no solution, and one equation that has i
neonofarm [45]

9514 1404 393

Answer:

  • one: x+3 = 2x
  • none: x+3 = x
  • infinite: x+3 = x+3

Step-by-step explanation:

A linear equation with variable terms on opposite sides of the equal sign will have one solution when the coefficients of those variables are different.

  x+3 = 2x . . . . has one solution (x=3)

__

There will be no solution if the variable terms on opposite sides of the equal sign have the same coefficient, but the constants are different. Such an equation can be reduced to 0 = 1, which cannot be made true by any value of the variable.

  x +3 = x . . . . has no solutions

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There will be an infinite number of solutions if the left side of the equal sign is the same as the right side. Every value of the variable will satisfy the equation.

  x +3 = x +3 . . . . has infinite solutions

8 0
2 years ago
Karinna's aquarium can hold 80 liters, which is equal to 80,000 cm'. The base measures 100 cm by 40
tresset_1 [31]

Answer:height=20cm

Step-by-step explanation:

Length=100cm

Breadth=40cm

Volume=80 liters which is equal to 80000cm^3

volume=length x breadth x height

80000=100 x 40 x height

80000=4000 x height

Divide both sides by 4000

80000/4000=(4000xheight)/4000

20=height

Height=20cm

7 0
3 years ago
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