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Aleksandr [31]
3 years ago
6

Given (1, -3) and (5, 1). The slope of the line is The equation of the line is

Mathematics
1 answer:
guapka [62]3 years ago
4 0

To find the slope of the line we can use the following formula:

\frac{y.2 - y.1}{x.2 - x.1} = m

1 - (-3)/5 - 1

4 / 4

1

<h3>The slope of the line is equal to 1.</h3>

To find the equation, we can just use slope-intercept form.

We already know the slope, so our current equation is y = x

By knowing the slope, we can apply the slope to our lowest pair of coordinates to find the y value when x = 0.

Subtract 1 from the x and y values of (1, -3)

(0, -4) is our new point, and so we know the y-intercept is -4.

<h3>Our equation for the line is y = x - 4</h3>
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Three married couples go to a movie theater. if they sit together in a row of 6 empty seats, find the probability that each woma
Ganezh [65]

Given are three married couples.

So, let us assume there are 3 men and 3 women

They are sitting in a row of 6 empty seats

There is a definite order constraint that each woman will sit left to her husband. The first woman gets 3 options to choose from 3 available seats. The second woman has two options left as already one seat is filled by the first woman. The last woman has one option left. So, it is 3*2*1

So, number of ways is 3! = 3*2*1 = 6 ways.

5 0
3 years ago
Consider triangle ABC where AB=X+5, BC=X-2, area is 30cm squared. Find X by solving X^2+3X-70=0, and find the perimeter.
klasskru [66]

Answer:

What the hell AC is not given so you can't find the Perimeter

Step-by-step explanation:

  • x^2+3x-70=0
  • (x-7)(x+10)=0
  • x-7=0

       x+10=0

  • x=7

       x=-10

AB=x+5

  • AB=12

        AB=-5

BC=x-2

  • BC=5

        BC=-12

Area of ABC = 30cm2

<u>Perimeter of ABC = AB+BC+</u><u>AC</u>

<u />

8 0
2 years ago
A seamstress is making a decorative pillow and wants to cover both sides of the pillow with special fabric. The pillow is in the
olganol [36]
The seamstress will need 12 inches of special fabric. 
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2 years ago
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Dylan is wrapping a birthday present for his sister. The box the gift is in has a length of 6 inches, a width of 5 inches, and a
alexandr1967 [171]
24 in x 25 in


Or

24 in by 25 in
7 0
3 years ago
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Which types of polygons are the faces of a tetrahedron?
valentina_108 [34]

The answer is the option A, which is: A. Equilateral triangles.

The explanation for this answer is shown below:

By definition, a tetrahedron is a solid in three dimensions that has: six sides, four vertices and four triangular faces. These faces are equilateral triangles, which means that all the sides are equal and all the interior angles measure 60 degrees.

The tetrahedron is also called "triangular pyramid".

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3 years ago
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