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Wewaii [24]
3 years ago
5

The graph below shows a line segment MN: graph of line MN going through ordered pairs negative 2, 3 and 1, negative 3 Which of t

he following equations best represents the line segment MN?
Mathematics
1 answer:
Katyanochek1 [597]3 years ago
8 0
The line segment goes through (-2,3) and (1,-3).

The slope of the line is
\frac{-3-3}{1-(-2)} = \frac{-6}{3} =-2

Therefore the equation of the line segment is of the form
y = -2x + b

Because the line segments goes through (-2,3), therefore
-2(-2) + b = 3
4 + b = 3
b = -1

Answer: The equation is y = -2x - 1
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Think of one leg of a right triangle is 21' and the length of the hypothenuse is 29' what is the length of the other leg
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Answer:

length of other leg = 20'

Step-by-step explanation:

Given:

One leg of triangle let it be base of triangle = 21'

Hypotenuse = 29'

To Find:

Third leg =perpendicular = ?

Solution:

Given is a right angled triangle with two of its sides given to us

We have Pythagoras theorem for right angled triangle and according to it

Pythagoras theorem is

for a right angled triangle

(hyp) ² = (perp)²+(base)²

We have the values of hyp and base

putting them in the equation we get

(29) ² = (perp) ²+(21) ²

841 = (perp) ² + 441

subtracting 441 from both sides we get

841 - 441 = (perp) ² + 441 - 441

400 =  (perp)²

or

(perp) ²=400

Taking square root of both sides

\sqrt{(perp)^{2} }=\sqrt{400}

it gives us

perp = ± 20'

As it is length and it can not be negative so

perp = 20'

or

length of other leg = 20'

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A line passes through (10,4) and (13,-11). Write the equation of the line in standard form.
AlexFokin [52]

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now

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

therefore,


\bf y-4=-5(x-10)\implies y-4=-5x+50\implies \blacktriangleright 5x+y=54 \blacktriangleleft

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