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ki77a [65]
2 years ago
14

Find the equation (in terms of x ) of the line through the points (-5,-1) and (3,-4)

Mathematics
1 answer:
Nataly [62]2 years ago
4 0

9514 1404 393

Answer:

  y = -3/8x -23/8

Step-by-step explanation:

The slope is found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (-4 -(-1))/(3 -(-5)) = -3/8

Then the point-slope equation of the line is ...

  y -k = m(x -h) . . . . line with slope m through point (h, k)

For m = -3/8 and (h, k) = (-5, -1), the line is ...

  y +1 = -3/8(x +5)

In slope-intercept form, this is ...

  y = -3/8x -23/8

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What is the domain and range of the following graph?
puteri [66]

Using it's concepts, the domain and the range of the graph are given as follows:

  • Domain: all real values except x = -1.
  • Range: All real values.

<h3>What are the domain and the range of a function?</h3>

  • The domain of a function is the set that contains all the values of the input. In a graph, it is given by the values of x, which is the horizontal axis of the graph.
  • The range of a function is the set that contains all the values of the output. In a graph, it is given by the values of y, which is the vertical axis of the graph.

In this graph, have that the function is defined for all values of x except x = -1, and assumes all real values, hence the domain and the range of the graph are given as follows:

  • Domain: all real values except x = -1.
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More can be learned about the domain and the range of a function at brainly.com/question/10891721

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6 0
2 years ago
30 POINTS HELP ANSWER ASAP AND EXPLAIN STEP BY STEP HOW TO SOLVE The two non-parallel sides of an isosceles trapezoid are each 7
weeeeeb [17]
See diagram
I wrote that the degrees are 70 each because it is isocolese and 140/2=70


a.
to solve for the diagonal, I'm going to use trig to find the height and the base then use pythagorean theorem to find the diagonal

so
see I've drawn an auxiliry line to make a right triangle on the leftmost side
so
we want to find the height and base
sin(70°)=h/7
so 7sin(70°)=h≈6.57785

cos(70°)=base/7
so 7cos(70°)=base≈2.39414

now
the entire long base is 22, so that big triangle with the diagonal as the hyptonuse is 22-2.39414=19.6059
use pythagorean theorem, like 6.57785²+19.6059²=diagonal²
we get that the diagonal is about 20.68ft




b.
we got that the base was 7cos(70°)
2 of those bases so 22-14cos(70°)=17.2117ft or rounded 17.21ft




a. 20.68ft
b. 17.21ft

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<h3>What is Introduction? </h3>

Introduction is the starting line or the opening hook or portion that attracts the readers attention which carries the relevant background of the information.

It is the statement which represents the main point of the following argument or the paragraphs.

There are many elements that included in the introductory part some of them are as follows:-

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