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3 years ago

What is the slope that passes points (1,7) and (2,-4)

Mathematics

2 answers:

Tatiana [17]3 years ago

8 0

Answer:

Step-by-step explanation:

y=mx+b =D

scoundrel [369]3 years ago

3 0

Answer:

The slope is -11/1 which is -11.

Step-by-step explanation:

(Y2-Y1) / (X2-X1)

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Write the equation of the perpendicular bisector of . Point B is located at (–3, 1), and point C is located at (1, 5).

maxonik [38]

The equation of perpendicular bisector of BC is

$y=-x+2$

Further explanation:

A perpendicular bisector passes through the mid-point of a line so to get an ordered pair from which the perpendicular bisector will pass we need to find the mid-point of BC.

$Mid-point = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )\\Here\\(x_1,y_1) = (-3,1)\\(x_2,y_2) = (1,5)\\Putting\ values\ in\ formula\\M = (\frac{-3+1}{2} , \frac{1+5}{2} )\\= (\frac{-2}{2} ,\frac{6}{2})\\= (-1, 3)$

So the perpendicular bisector will pass through (-1,3)

Let m1 be the slope of BC

Then

$m_1 = \frac{y_2-y_1}{x_2-x_1} \\=\frac{5-1}{1+3} \\=\frac{4}{4}\\ =1$

Let m2 be the slope of perpendicular bisector

We know that the product of slopes of perpendicular lines is -1.

$m_1.m_2 = -1\\1*m_2 = -1\\m_2 = -1$

The standard form of point-slope form of line is:

$y=mx+b$

Putting the value of slope of bisector we get

$y=(-1)(x)+b\\y=-x+b$

To find the value of b, put the ordered pair (-1,3) in the equation

$3 = -(-1) +b\\3= 1+b\\3-1 =b\\b=2\\$

Putting the values of m and b in standard form

$y=-x+2$

Hence the equation of perpendicular bisector of BC is

$y=-x+2$

Keywords: Perpendicular bisector, Point-slope form

Learn more about point-slope form at:

#LearnwithBrainly

6 0

3 years ago

What is the length of the hypotenuse

Liula [17]

Answer:

Step-by-step explanation:

To find Hypotenuse: Pythagorean Theroem

a^2+ b^2= c^2

The legs are A and B

The side that is directly across from the Right angle is C

12^2 + 16^2 =C^2

144+256=400

400 = c^2

Square root on both sides to get rid of c^2

The square root of 400 is 20

c=20

8 0

3 years ago

Read 2 more answers

Which inequality is true?

Aleonysh [2.5K]

D. Will be the correct answer

5 0

2 years ago

Read 2 more answers

The cost c (in dollars) for the fuel and maintenance of a go-cart is given by c=10x+1200, where x is the number of rides. It cos

Olin [163]

Answer: it will take 40 rides to break even.

Step-by-step explanation:

Profit = Revenue - total cost

At the point of break even, there is no profit. It means that

revenue = total cost

The cost c (in dollars) for the fuel and maintenance of a go-cart is given by

c = 10x + 1200

where x is the number of rides. It costs $40 per ride. This means that the revenue gotten from x rides is 40x.

In order to break even, it means that

40x = 10x + 1200

40x - 10x = 1200

30x = 1200

x = 1200/30

x = 40

4 0

3 years ago

Plz help me plzzzzz asap

Varvara68 [4.7K]

Answer:

2 $\frac{2}{9}$

Step-by-step explanation:

First, we will turn 5 2/5 into an improper fraction:

5 * 5 = 25 + 2 = 27/5

So they worked for 27/5 days.

We want to divide the days worked by the distance to get the unit rate of distance per day:

$\frac{12}{\frac{27}{5} } = \frac{12}{1} * \frac{5}{27}=\frac{60}{27}=\frac{20}{9}$

So our answer is 2 $\frac{2}{9}$

Hope this helps, have a great day! :D

6 0

2 years ago

What is the slope that passes points (1,7) and (2,-4)​

What is the slope that passes points (1,7) and (2,-4)