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Korolek [52]
3 years ago
11

PLEASE HELP ASAP!!!!

Mathematics
1 answer:
Bond [772]3 years ago
4 0

Answer: 518

Step-by-step explanation:

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Find the equation in standard form of the line passing through the points 3,-4 and 5,1
aliina [53]

Answer:

5x - 2y - 23 = 0

Step-by-step explanation:

Line is passing through the points (3,\:-4)= (x_1, \:y_1) \: \&\: (5,\: 1)= (x_2,\:y_2)

Equation of line in two point form is given as:

\frac{y -y_1 }{y_1 -y_2 }  =  \frac{x -x_1 }{x_1 -x_2 } \\  \\  \therefore \:  \frac{y -( - 4) }{ - 4 -1}  =  \frac{x -3 }{3 -5 } \\  \\  \therefore \:\frac{y  +  4 }{ - 5}  =  \frac{x -3 }{ - 2 } \\  \\  \therefore \: \frac{y  +  4 }{  5}  =  \frac{x -3 }{  2 } \\  \\  \therefore \:  2(y + 4) = 5(x - 3) \\ \therefore \:  2y + 8 = 5x - 15 \\ \therefore \: 5x - 15 - 2y - 8 = 0 \\  \red{ \boxed{ \bold{\therefore \: 5x - 2y - 23 = 0}}} \\ is \: the \: required \: equation \: of \: line \: in \:  \\ standard \: form.

7 0
3 years ago
The length of each side of a square is 6 feet more than the length of a side of a regular Octagon. The perimeter of the square i
goldfiish [28.3K]

9514 1404 393

Answer:

  • square: 12 ft sides
  • octagon: 6 ft sides

Step-by-step explanation:

This problem can be worked in your head.

If the perimeters of the square and regular octagon are the same, the side length of the 4-sided square must be the same as the length of 2 sides of the 8-sided octagon. Since the side of the square is 6 ft more than the side of the octagon, each side of the octagon must be 6 ft, and each side of the square must be 12 ft.

__

We can let s represent the side length of the octagon. Then we have ...

  8s = perimeter of octagon

  4(s +6) = perimeter of square

These are equal, so ...

  4(s +6) = 8s

  s +6 = 2s . . . . . . divide by 4

  6 = s . . . . . . . . . . subtract s

The octagon has 6-ft sides; the square has 12-ft sides.

8 0
3 years ago
What is the slope of the line that cuts through the points (1, -5) and (3, 5)?
PolarNik [594]

Answer:

a. 5

Step-by-step explanation:

To find slope, subtract the y's.

5 - -5 is 10.

Put that on the top of a fraction.

Subtract the x's.

3 - 1 is 2, put that on the bottom of the fraction.

So the slope is 10/2. This simplifies to 5 (because 10÷2 is 5).

The slope is 5.

8 0
2 years ago
Which equation has the least steep graph?
iogann1982 [59]
The answer is C. y=1/4 x + 9
Hope this helps
6 0
3 years ago
Read 2 more answers
Complete this question.
Scrat [10]

Answer: The evidence from the story is base of the new church in this period and the first child to be a part in church and church of the church

Step-by-step explanation:

7 0
3 years ago
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