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ivann1987 [24]
4 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]4 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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5[×-2] what is the distributive property
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5x - 10

Step-by-step explanation:

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3 years ago
Jasmine reduced the size of a triangle to a height of 4 in. What is the new width if it was originally 12 in wide and 16 in tall
cupoosta [38]

Answer:

The new width is 3 in.

Step-by-step explanation:

We can use the ratio of w/h, the origal width and height should have the same ratio as the new width and height.

<u>12 </u>= <u>x</u>

16    4

Then solve for x:

x = 4 (12/16)

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To check:

12/16 = 3/4

3/4 = 3/4

7 0
2 years ago
Find the common ratio of the geometric sequence -17, 102, -612,...−17,102,−612,..
yKpoI14uk [10]

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Step-by-step explanation:

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5 0
3 years ago
PLEASE HELP I WILL GIVE BRAINLYEST
insens350 [35]

∠13 = 70.5° [Vertically Opposite angles]

∠13+∠14=180° [Linear pair]

70.5°+∠14=180°

∠14=180-70.5

∠14=109.5

∠15=∠14=109.5 [Vertically opposite angles]

∠13=∠12= 70.5° [Co-interior angles]

∠12=∠10= 70.5° [Vertically Opposite angles]

∠14=∠11=109.5 [Co-interior angles]

∠9=∠11= 109.5 [Vertically opposite angles]

∠13=∠7= 70.5° [Alternate interior angles]

∠7=∠5=70.5° [Vertically Opposite angles]

∠7+∠8=180° [Linear Pair]

70.5+∠8=180

∠8=180-70.5

∠8=109.5°

∠8=∠6= 109.5° [Vertically Opposite angles]

∠6=∠3=109.5° [Co-interior angles]

∠7=∠2=70.5° [Co-exterior angles]

∠2=∠4= 70.5° [Vertically Opposite angles]

∠3=∠1= 109.5° [Vertically Opposite angles]

\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}

<h3>Measures of all angles in sequence⤵️</h3>

  • ∠1= 109.5°
  • ∠2= 70.5°
  • ∠3= 109.5°
  • ∠4= 70.5°
  • ∠5= 70.5°
  • ∠6= 109.5°
  • ∠7= 70.5°
  • ∠8= 109.5°
  • ∠9= 109.5°
  • ∠10= 109.5°
  • ∠11= 70.5°
  • ∠12= 109.5°
  • ∠13= 70.5°
  • ∠14= 109.5°
  • ∠15= 109.5°
  • ∠16= 70.5°
8 0
3 years ago
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HELP NOW THIS IS 10 POINTS! The length of a rectangle is twice its width. If the width is 10, what is the area?
Ganezh [65]
The answer is 20......
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4 years ago
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