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maks197457 [2]
3 years ago
11

Write the equation of the line that passes through the points (-2,3) and (3,2)

Mathematics
1 answer:
Svetlanka [38]3 years ago
5 0
<h2>Answer:    y - 2 = - ¹/₅ ( x  -  3 )</h2>

Step-by-step explanation:

The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)

                                          =  (3 - 2) ÷ ( -2 - 3)

                                          =    - ¹/₅

We can now use the point-slope form to write the equation for this line:

y - y₁ = m(x - x₁)

                                   y - 2 = - ¹/₅ ( x  -  3 )

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dalvyx [7]

Matching each equation of the plecewise function represented in the graph will be:

  • 2 < x < 3 = 3 - x
  • 0 < x < 2 = 1
  • x = 2 = x
  • 3 < x < 5 = 5 - x

<h3>How to illustrate the information?</h3>

It should be noted that a domain simply means the set of inputs that are accepted by the function.

In this case, the equation of the piecewise function represented is given.

The graph is attached.

Learn more about equations on:

brainly.com/question/2972832

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2 years ago
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Bad White [126]

Answer:

Shaded area is 392

Step-by-step explanation:

The triangles on the left have heights 14 and 14, the ones on the right have 20 and 8.

The bases are equal, so we can compute them as (40-12)/2 = 28/2 = 14

The triangles have areas:

14*14/2 = 14*7 = 98

14*14/2 = 14*7 = 98

20*14/2 = 20*7 = 140

8*14/2 = 8*7 = 56

note that the triangles on the left and the ones on the right have the same total area! That would have happened no matter what the height split was!

The total area is 98+98+140+56 = 196 + 196 = 392

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3 years ago
F(x)=3x2+2x−3 <br><br> g(x)=2x+4
Yakvenalex [24]

Answer:

A: 6

B: 16

C: 2

D: -12

Step-by-step explanation:

They are asking you to multiply the equations:

(3x^2 + 2x - 3)(2x + 4)

Distribute and you should get:

6x^3 + 16x^2 + 2x - 12

The Coefficients A,B,C, and D are 6, 16, 2, and -12.

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3 years ago
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Leno4ka [110]
<span>(x – h)</span>2<span> + (y – k)</span>2<span> = r</span><span>2

h is your x value and the opposite of k is your y value. r is the radius

so, in the first equation, your center would be (-4,2) and the radius would be 5 because you take the square root of r

So plot (-4,2) and count 5 units left, right, up, and down from that point.

Do the same thing for the second circle. The center is (2,-1) and the radius is 5.6 units

The other graphs are pretty much the same way. 

For number 7, plot the center and the other set of coordinates. Count the distance between the center and that point and that is your radius

For number 6, plot the center, and to get the radius, take half of the diameter.

For the last one you have to use the distance formula</span>
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4 years ago
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