Find an equation for the perpendicular bisector of the line segment whose endpoints
are (8, 7) and (-4,3)

Answers

Answer 1

Answer:

y = -3x + 11.

Step-by-step explanation:

The slope of the given line segment  is (3-7)/(-4-8) = -4/-12 = 1/3.

The midpoint of the line has  coordinates (8-4)/2, (7+3)/2.

= (2, 5).

The slope of  the  perpendicular bisector = -1/ 1/3 = -3.

So it's bisector has equation:

y - y1  = m(x - x1)=

y - 5 = -3(x - 2)

y = -3x + 6 + 5

y = -3x + 11.


Related Questions

What is the product?
(4x) {-3x^8}{-7x^3}

Answers

Answer:

[tex]84x^{12}[/tex]

Step-by-step explanation:

Step-by-step explanation:

[tex](4x)( - {3x}^{8} )( - {7x}^{3} ) \\ (4 \times - 3 \times - 7)( {x}^{} \times {x}^{8} \times {x}^{3} ) \\ (81)( {x}^{ 1 + 8 + 3} ) \\ 81 {x}^{12} [/tex]

In a regular deck of cards, there are 52 total cards, 26 red, 26 black, and 13 of each of the four suits (hearts, clubs, spades, and diamonds). What is the probability, if you draw a card randomly, that the card will be a heart?

Answers

Answer:

13/52 (25%)

Step-by-step explanation:

There are 13 hearts in the deck, and 52 cards in the deck. This means that the probability is 13/52.

By which rule are these triangles congruent

A. AAS
B. ASA
C. SAS
D. SSS

Answers

Answer:

option D

Step-by-step explanation:

this trianle will be congurent by SSS method easily

Answer:

Option D.SSS These triangles congruent with SSS property

a cheetah ran 300ft in 2.92 sec what was the average speed in mph

Answers

Answer:

70.05 mph

Step-by-step explanation:

A cheetah ran 300 feet in 2.92 seconds. What is the cheetah's average speed in miles per hour

--------------------------------------

(300 ft/2.92 sec)(1 mi/ 5280 ft)(3600 sec/1 hour)

= {300*1*3600 miles)/(2.92*5280*1 hour)

 

= 91080000 miles/15417.6 hours

= 70.05 mph

(1.4,1.6);m=3.1 equation of the line in point slope form​

Answers

Answer:

y-4=3.1(x-1)

or y-1.6=3.1(x-1.4)

Step-by-step explanation:

Answer:

y = 3.1x - 2.74

Step-by-step explanation:

y-intercept: 1.6 - (3.1)(1.4) = 1.6 - 4.34

= - 2.74

HELP PLEASE!!
Write an equation in slope-intercept form for a
line that has a slope of one-half and passes
through the point (4,3). Use the graph below, if
necessary.

Answers

Answer:

y = 1/2x + 1.

Step-by-step explanation:

Use the point-slope form of a straight line:

y - y1 = m(x - x1)     (where m=slope and(x1,y1) is a point on line).

y - 3 = 1/2(x - 4)

y = 1/2x - 2 + 3

y = 1/2x + 1.

Can someone help me?

Answers

Answer:

I'm not sure from my answer but I'm going to try

A =  { a^2  -  4  = 0 }

A = { a^2  = 0+ 4 }

A = { a^2  = 4}

Take root of both sides

A = {a = 2}

A = {2}

B = { -2, -1, 0, 1, 2}

C = { 1, 2, 3, 4, 5, 6,7}

i) A\B

= {2} \ {-2,-1,0,1,2}

= ⌀ ( "null set" )

ii) (A\B) \C

= ( {2} \ {-2,-1,0,1,2} ) \ C

= ⌀ \ C

= ⌀ \ { 1, 2, 3, 4, 5, 6,7}

= ⌀ ( "null set" )

iii) (A ∪ B) \ C

= ( { 2 } ∪ { -2, -1, 0, 1, 2} ) \ C

= { -2, -1, 0, 1, 2} \C

= { -2, -1, 0, 1, 2} \ { 1, 2, 3, 4, 5, 6,7}

= { -2, -1, 0 }

iv) ( A\B) ∩ ( A\C)

= (  { 2 } \ {-2,-1,0,1,2} ) ∩ ( { 2 } \ { { 1, 2, 3, 4, 5, 6,7} )

= ⌀ ∩ ⌀

= ⌀

v) ( A ∩ B ) \ C

= ( { 2 }  ∩  { -2, -1, 0, 1, 2 } ) \ C

= { 2 } \ { 1, 2, 3, 4, 5, 6, 7 }

= ⌀ "null set"

If 2 coins can be exchanged for 3.3782 dubloons, how many dubloons can be obtained for 9 coins?

(Round to the nearest hundredth)

Answers

Answer:

5.33

Hope this helps

if maria earned $60 in interest over a 4 year period at a 4% simple annual interest how much did she originally deposit in savings

Answers

formula for interest=principle×rate×time/100

60=x×4×4/100

60=16x/100

16x=6000

x=375

Answer:

C. $375

Step-by-step explanation:

If Sean reads 1 1/2 pages in 3 1/3 minutes, how many pages does he read in 1 minute?

Answers

Sean reads about 1 pages in one minute I believe because 1/2 in 1/3 is like a half of a page

6.478×18.21 Multiply the equation

Answers

Answer:

117.96438

Step-by-step explanation:

6.478 x 18.21 = 117.96438

Answer: I believe it is 117.96

Step-by-step explanation:

6.478×18.21 = 117.96438 but there can only be two numbers after the decimal so you go to the third number after the decimal and round if it is lower than five the second number after the decimal stays the same if it is above five it will round the second number after the decimal up one in this case it will stay the same so the answer is 117.96

someone buys a chair in sale for 435.60 dollars. its is a reduction of 12% from the the original price. what is the original price... the amswer is 495 dollars but i need someone to explain it​

Answers

100%=(435.60÷88)x100

which is 495.

Answer:

Step-by-step explanation:

435,60:12%


During the All Stars Skills competition, a puck was launched through the air at a
speed of 41 km/h from a height of 2.5 cm. The algebraic model of the path of the
puck is defined by h = -4.9+ + 41t +0.025, where h represents height in cm and t
represents time in seconds.

1.Construct a table of values for the first 10 seconds of the puck's movement.
Round to 0 decimal places.

2.Using graph paper, graph the data points. Join with a smooth curve. Scan your
graph.

3.Approximately how long before the puck will hit the ice?

4.For what values of time is the height invalid?

Answers

Answer:

put it in desmos and turn it into table

20 POINTS HELP! IN PHOTO

Answers

Scatterplot; correlate ‍♂️

precalculus question please help

Answers

Answer:

It is the 1st one x=6, y=2

Step-by-step explanation:

you find this out by comparing the degrees in the numerator and the denominator. Have a nice day!!!

Is -3 the same as 0.3

Answers

No they are not same .

Hope it helps

Answer:

Nope! They are not the same. This is because -3 is a negative whole number. On the other hand, 0.3 converts to 3/10 which is a positive decimal number. Hope this helps. I have attached below a number line showing the two different points (with the given number on each end).

Hope this helps and be sure to have a wonderful time ahead at Brainly! :D

Id really appreciate if you could help me thx!

Answers

Answer:

-3/7

Step-by-step explanation:

1. The formula to find the slope of a line given two points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].

[tex]\frac{(2)-(5)}{(9)-(2)}[/tex] [tex]\frac{-3}{7}[/tex] [tex]-\frac{3}{7}[/tex]

Therefore, the answer is -3/7.

What is the value of x?
x= 21
x = 28
x= 35
x= 37

Answers

x= 37

you would always start off by 3x+4=15

helpppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

12/12=1

2.5/2.5=1

5/_=1

mysterty number is 5

5.5./_=1

mystery number is 5

Step-by-step explanation:

Erica cut 2/3 yard ribbon into pieces that are 1/6 yard long how many pieces of ribbon did she cut

Answers

Answer:

4 pieces

Step-by-step explanation:

To perform the calculation, it's easier for both values to have the same denominator.

2/3 yards is the same as 4/6 yards.

Now we have two values with the same denominator: 4/6 and 1/6.

(4/6) / (1/6) = 4.

Hiroto spends \$68 on e-books and paperback books combined. Each e-book he buys costs $5 and each paperback book he buys costs $12. If Hiroto buys e-books and y paperback books which of the following equations best models the situation?

Answers

The equation that can be used to model the situation regarding the e-books and paperback is 5x + 12y = 68

The following information can be gotten from the question:

Total amount spent on e-books and paperback = $68

Cost of e-book = $5 each.

Cost of paperback = $12 each

Number of e-books = x

Number of paperbacks = y

Therefore, the equation that can be used to model the situation regarding the e-books and paperback will be:

= 5(x) + 12(y) = 68

5x + 12y = 68

The equation will be 5x + 12y = 68

Read related link on:

https://brainly.com/question/25212173

Area of sector is to
as arc measure is to 360 degrees.

diameter
circle area
semicircle
circumference of circle

Answers

Answer:

circle area

Step-by-step explanation:

A full circle contains 360 degrees. So, an arc of 360 degrees would just be a circle.

The area of a sector is to the circle area

How to complete the blank?

The area of a circle is:

[tex]A = \pi r^2[/tex]

The area of a sector is:

[tex]a = \frac{\theta}{360} * \pi r^2[/tex]

Substitute [tex]A = \pi r^2[/tex] in the above equation

[tex]a = \frac{\theta}{360} * A[/tex]

The above means that the area of a sector is a fraction of the circle area

Hence, the area of a sector is to the circle area

Read more about sector and circle at:

https://brainly.com/question/16736105

#SPJ6

where will the hand of a clock stop if it start at 2 and make 1 by 4 of a Revolution clockwise​

Answers

Answer:

At 5 o'clock

Step-by-step explanation:

Staring point = 2 o'clock

The travel is 1/4 of 12 hour full revolution:

1/4*12 = 3 hours

Point to stop is the start point plus the travel:

2 + 3 = 5

refer to the attachment

What is the value of x in the equation 3(4x - 6) - 2x + 1 = 3 - (3x - 6)?
Enter your response here:
Only 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, -, -, and / are allowed in your answer.
Answers that are mixed numbers must be entered as an improper fraction or a decimal.

Answers

Answer:

x = 2

So the value of x is 2

P=[−3610−4] , Q=[−2571] , R=[4−20813]

Given the three matrices above, evaluate P+Q.

P+Q=[acbd]. Find the values of a, b, c, and d.

Answers

Adding the matrices, it is found that the values are: [tex]a = -5, b = 8, c = 11, d = -3[/tex]

The values of a, b, c and d is determined by the addition of matrices P and Q, that is:

[tex]P + Q = \left[\begin{array}{cc}a&c\\b&d\end{array}\right][/tex]

We have that the matrices are:

[tex]P = \left[\begin{array}{cc}-3&6\\10&-4\end{array}\right][/tex]

[tex]Q = \left[\begin{array}{cc}-2&5\\7&1\end{array}\right][/tex]

Then:

[tex]P + Q = \left[\begin{array}{cc}-3&6\\10&-4\end{array}\right] + \left[\begin{array}{cc}-2&5\\7&1\end{array}\right] = \left[\begin{array}{cc}-3-2&6+5\\1+7&-4+1\end{array}\right] = \left[\begin{array}{cc}-5&11\\8&-3\end{array}\right][/tex]

Finally:

[tex]\left[\begin{array}{cc}-5&11\\8&-3\end{array}\right] = \left[\begin{array}{cc}a&c\\b&d\end{array}\right][/tex]

Thus, the values are:

[tex]a = -5, b = 8, c = 11, d = -3[/tex]

A similar problem is given at https://brainly.com/question/24810141


Matt está jugando en un juego gana 7 puntos pierde 10 puntos luego vuelve a ganar 2 puntos y luego pierde 8 puntos Cuál es su puntuación final ?​

Answers

Answer:

La respuesta es 3.

Step-by-step explanation: así que básicamente sus puntos finales son 3.

what is 20/25 as a percent

Answers

Answer:

80%

Step-by-step explanation:

Which graph shows the solutions to |x − 2| = 2 ?

Answers

Answer:

I think that the answer is B.

Step-by-step explanation:

go on demos and put in the problem on the left side. and the dot should be on the number two. and in the picture you have^ . it has the same dot as demos.

Solve for x.

X +1/2=3/4

O X = - 1/2
O X = 1/2
O X = -1/4
O X = 1/4​

Answers

Answer is 1/4
Hope this helps :)
Tell me if I’m wrong
X= 1/4, the last one

Question 1 (2 points)

(01.02

What is the product of 0.51 0.24? (2 points)

1) 0.1224

2) 1.124

3) 11.24

4) 1124

Answers

Answer:

0.52 x 0.24 means "about a half times 0.24". Given the multiple choice answers, the correct answer is therefore 0.1224 (since this is the only one smaller than 0.24).

Proof:

0.50 × 0.24 = 0.12

0.01 × 0.24 = 0.0024

And therefore 0.51 × 0.24 = 0.12 + 0.0024 = 0.1224

Step-by-step explanation:

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