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emmainna [20.7K]
3 years ago
11

33. sayfa yaparmısınız

Mathematics
1 answer:
zalisa [80]3 years ago
8 0

Answer:

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Do the points A(1,3) B(4,2) C(-2,4) lie on the same line? Explain your answer. Show all work.
Jet001 [13]

We can see that

Slope\ of\ AB=Slope\ of\ BC=Slope\ of\ AC

The given points are on same line.

Further explanation:

There are two methods to find if the given points are on same line

  • The slope method: If the points are on same line the slopes of two pairs of points will be same
  • Area of triangle method

Given points are:

A(1,3) B(4,2) C(-2,4)

We will find the slope of AB, BC, and AC

So,

m=\frac{y_2-y_1}{x_2-x_1}

Slope\ of\ AB=\frac{2-3}{4-1} \\=-\frac{1}{3}

Slope\ of\ BC=\frac{4-2}{-2-4}\\ =\frac{2}{-6}\\=-\frac{1}{3}

Slope\ of\ AC= \frac{4-3}{-2-1} \\=-\frac{1}{3}

We can see that

Slope\ of\ AB=Slope\ of\ BC=Slope\ of\ AC

The given points are on same line.

Keywords: Slope, Co linear points

Learn more about slope at:

  • brainly.com/question/6436086
  • brainly.com/question/12954015

#LearnwithBrainly

3 0
4 years ago
Rewrite using a single positive exponent.<br> (5-3)*
sleet_krkn [62]

To write this expression as a positive exponent we use this rule of exponents: xa=1x−a. 5−3=15−−3=153. Use this rule for exponents: xa=1x−a. 5−3=15−−3=153=1125.

5 0
2 years ago
Read 2 more answers
What is the simplest form of the expression 6x(x − 4) − 16x2 − (9x − 1)
BigorU [14]
If the term in the middle is 16x^2

6x^2-24x-16x^2-9x+1 =

-10x^2-33x+1

5 0
3 years ago
I need the missing blanks .
MrRissso [65]

Answer:

K, (-3.5,-5), E, (3.5, 3)

Step-by-step explanation:

8 0
3 years ago
Can you help me with this question please? I will reward 20 points for best answer.
swat32

Answer:

Demand: q = -50p + 1200

Supply: q = 40p

Step-by-step explanation:

First let's define our variables.

q = quantity of T-shirts

p = price

We know that when p = 12, q = 600.  When p increases by 1, q decreases by 50.  So this is a line with slope -50 that passes through the point (12, 600).  Using point-slope form to write the equation:

q - 600 = -50 (p - 12)

Converting to slope-intercept form:

q - 600 = -50p + 600

q = -50p + 1200

Similarly, we know that when p = 9.75, q = 600 - 210 = 390.  When p increases by 1, q increases by 40.  So this is a line with slope 40 that passes through the point (9.75, 390).  Using point-slope form to write the equation:

q - 390 = 40 (p - 9.75)

Converting to slope-intercept form:

q - 390 = 40p - 390

q = 40p

5 0
3 years ago
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