The line MN is shown on the grid.
Find the equation of the perpendicular bisector of line MN.

The Line MN Is Shown On The Grid.Find The Equation Of The Perpendicular Bisector Of Line MN.

Answers

Answer 1

Find midpoint coordinates:

[tex]\rightarrow \sf (\dfrac{-1+3}{2} ), \ (\dfrac{7+(-1)}{2} )[/tex]

[tex]\hookrightarrow \sf (1, \ 3)[/tex]

Find the gradient of MN:

[tex]\dashrightarrow \sf \dfrac{-1-7}{3-(-1)}[/tex]

[tex]\dashrightarrow \sf -2[/tex]

slope of perpendicular bisector:

[tex]\rightarrow \sf \dfrac{1}{2}[/tex]

Equation:

[tex]\sf \rightarrow y = \dfrac{1}{2}x+\dfrac{5}{2}[/tex]

Answer 2

Answer:

[tex]y=\dfrac12x+\dfrac52[/tex]

Step-by-step explanation:

M = (-1, 7)

N = (3, -1)

[tex]\sf slope\:of\:MN=\dfrac{y_n-y_m}{x_n-x_m}= \dfrac{-1-7}{3-(-1)}=-2[/tex]

If two lines are perpendicular to each other, the product of their slopes will be -1.  Therefore, the slope (m) of the line perpendicular to MN is:

[tex]\sf \implies -2 \times m=-1[/tex]

[tex]\sf \implies m=\dfrac12[/tex]

If the line bisects the line MN, it will intersect it at the midpoint of MN:

[tex]\begin{aligned}\textsf{Midpoint of MN} & =\left(\dfrac{x_m+x_n}{2},\dfrac{y_m+y_n}{2}\right)\\ & =\left(\dfrac{-1+3}{2},\dfrac{7+(-1)}{2}\right)\\ & =(1,3)\end{aligned}[/tex]

Finally, use the point-slope form of the linear equation with the found slope and the midpoint of MN:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]\implies y-3=\dfrac12(x-1)[/tex]

[tex]\implies y=\dfrac12x+\dfrac52[/tex]

The Line MN Is Shown On The Grid.Find The Equation Of The Perpendicular Bisector Of Line MN.

Related Questions

HELP PLEASE PYTHAGOREAN THEOREM

Answers

Your answer is 13.8 or 14

A^2 + B^2 = C^2
7^2 + 12^2 =C^2
49 + 144 = 193
193=13.8 (Square root 193)
C^2 is 13.8 or 14

Please help I will give brainiest pls

Answers

46.5 is your answer

Sycamore Elementary
School has 998 students.
Sycamore Elementary
School has 562 students less
than Cedar Middle. If C is the
number of students at Cedar
Middle School, which equation
could be used to find how
many students are at Cedar
Middle School?
a. 998-C = 562
b. 562-C = 998
C. 998 +562 = C
d. 562 +C = 998

Answers

the answer you’re going to answer is d

Julie goes to a carnival with $24 to spend. Admission cost six dollars, and each ride is an additional cost. After paying for admission, she has enough money left to go on exactly 9 rides. She decide she wants to play to carnival games, the Games cost three dollars each. Julie also buy snacks that cost $3.50. How much more money, in dollars, does Julie need to go on five rides?

Answers

Answer:

$1.50

Step-by-step explanation:

24 - 6 = 18

18/9 = cost of 1 ride

cost of 1 ride = $2

2 carnival games = 3 x 2 = $6

18 - 6 = 12

12 - 3.5 = $8.50

five rides cost = 5 x $2 = $10

10 - 8.5 = $1.50

HELP ME OUT PLS!!!!!!!


1) Why was the narrator surprised when she walked to the carnival?

A) She heard noises coming from the park.

B) She saw shadows on the walls of the tent.

C) The moonlight lit up the streets in the town.

D) It seemed as if she was alone on the streets.​

Answers

I think it is D
Hope his is right!!!

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER. What is the value of X in simplest radical form?

X=_____

Answers

Answer:

X=97

Step-by-step explanation:

The formula for the Pythagorean Theorem is:

[tex]\sqrt{a^2+b^2}=c[/tex]

Now,

A=65

B=72

72x72=5184

65x65=4225

4225+5184=9409

Last,

Take the square root of 9409.

The square root is 97.

Therefore, the hypotenuse is 97.

To check, use the equation:

[tex]a^2+b^2=c^2[/tex]

A=65

B=72

C=97

72x72=5184

65x65=4225

97x97=9409

5184+4225=9409

9409=9409

Therefore, the missing side, which is the hypotenuse, is 97.

Answer:

97

Step-by-step explanation:

Given:

Opposite = 65Adjacent = 72Hypotenuse = x

Definition:

Opposite is a perpendicular/vertical side.Adjacent is a horizontal side, by adding opposite and adjacent together, you have formed a right angle.Hypotenuse is the longest side of all which is the side that’s opposite of the right angle.

To find:

Value of x

Pythagorean Theorem:

[tex]\displaystyle \large{a^2+b^2=c^2}[/tex]

Determine:

a = oppositeb = adjacentc = hypotenuse

Note:

a and b can swap each other so you can determine a = adjacent and b = opposite instead of a = opposite and b = adjacent. This is because of addition property.The exception is value of c - ‘c’ cannot be changed and must be hypotenuse.

Therefore, substitute given information in:

[tex]\displaystyle \large{65^2+72^2=x^2}[/tex]

Evaluate:

[tex]\displaystyle \large{4225+5184=x^2}\\\displaystyle \large{9409=x^2}[/tex]

Square Root both sides:

[tex]\displaystyle \large{\sqrt{9409} = \sqrt{x^2}}[/tex]

Cancel the squared x, add plus-minus:

[tex]\displaystyle \large{\pm \sqrt{9409} = x}[/tex]

Simplify the surd:

[tex]\displaystyle \large{\pm 97 = x}[/tex]

However, side length is a scalar value so it cannot be negative nor have negative values. Therefore:

[tex]\displaystyle \large{x=97}[/tex]

Hence, the value of x is 97

Where can parentheses be placed to make 6+2³-4×3 value 500

Answers

~Denki Kaminari here~

6 + 2³ - 4  ×  3 = 500

The parentheses will most likely go before the exponent because that will raise your number up higher.

(6 + 2)³ - 4  ×  3 = 500

(8)³ - 4 × 3 = 500

512 - 12 = 500

500 = 500

So the parentheses will go around the (6 + 2).

hope this helps :D

Find the area of the figure.

Answers

Area of a rectangle is b•h so leaving off the two triangles, 4•3=12
Now area of a triangle is b•h/2 so (2•3)/2=3 then double that because there are two triangles, now 6, and add it to the area of the rectangle. 12+6=18

Given that Cos0=5/13,find a)Tan0,b)Sin0,c)Sec0,d)Co sec0,e)Cot0,​

Answers

Step-by-step explanation:

cos 0=5/13. B/H

p=√h2 - b2

= √13 square -5 square

=√169 -25

=√144

=12 Ans

Tan0=p/b =12/5. , sin0=p/h =12/13,. sec0= h/b =13/5 ,. Co sec0 =h/p =13/12 , cot0 =b/p=5/12

Follow me for more knowledge

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

Answer:

UW = 97 cm

Step-by-step explanation:

UW is congruent to VX and VX is 97 cm so UW would be 97 cm

Answer:

97

Step-by-step explanation:

As you can see, the marks on that trapezoid show that those 2 sides are equal in length, so both of those sides are equal.

Hope This Helps! :) Please Mark as Brainliest!

a circular logo has a 72 degree sector shaded orange and a 129 degree sector shaded blue. The radius of the logo is 10 inches. What is the total area shaded orange and blue?

Answers

I don't know the answer so help

*please show your work *
Find the volume of the rectangular prism in cubic yards.
《V = lwh》
2 feet
5 feet
8 feet​

Answers

Answer:

V = 80

Step-by-step explanation:

V = lwh

V = 8(5)(2)

V = 40(2)

V= 80

1. Which statement is not true? A. Rational numbers are closed under division. B. Odd numbers are closed under multiplication. C. Prime numbers are closed under subtraction. D. Integers are closed under addition​

Answers

Answer:

integers are closed under division

Step-by-step explanation:

Integers are not closed under division.Let us consider two integers i and j.

Then  need not necessarily be an integer. For example, 2 and 3 are integers but  is not an integer. So the first option , namely, integers are closed under division is not true.

On the other hand, the remaining three options given are correct.

Select the correct answer.
A regular octagon has side lengths of 8 centimeters. What is the approximate area
he octagon?
OA. 618 cm2
OB. 512 cm2
OC 309 cm2
OD
473 cm2
Reset
Next

Answers

Answer:

C. 309 cm2

Step-by-step explanation:

A=2(1+sqr2)a^2

A=2(1+sqr2)8^2

≈309.01934

Answer: 309 cm2

Step-by-step explanation:

plato

• Los médicos pueden recetar los mismos medicamentos a los niños y a los adultos.
La fórmula utilizada, conocida como regla de Fried, es la siguiente: d= 0.08 AD,
donde des la dosis del niño, a es la edad del niño y D es la dosis del adulto. Si el
médico le receta 1,000 mg de acetaminofén a un adulto, ¿cuántos mg le debe de
recetar a un niño de 8 años?

Answers

Evaluando la función dada, veremos que la dosis para el niño debe ser 640 mg.

¿Cual será la dosis que se debe recetar al niño?

La funcion que debemos utilizar es:

d = 0.08*A*D

Donde, A es la edad del niño, en este caso: A = 8

D es la dosis correspondiente para un adulto, D = 1,000 mg

Reemplazando eso obtenemos:

d = 0.08*8*1,000mg = 640mg

Así, podemos concluir que al niño se le debe recetar una dosis de 640 mg.

Sí quieres aprender más sobre evaluaciones, puedes leer:

https://brainly.com/question/4344214

help ASAp peaseeeeeeeeee

Answers

Answer:

7/6

Step-by-step explanation:

[tex] \frac{ \frac{x}{4} + \frac{x}{3} }{ \frac{x}{2} } = \frac{x( \frac{1}{4} + \frac{1}{3} )}{ x(\frac{1}{2}) } \\ = \frac{ \frac{1}{4} + \frac{1}{3} }{ \frac{1}{2} } \\ = \frac{14}{12} = \frac{7}{6} [/tex]

Answer:

7/6

Step-by-step explanation:

X = 2 because 2x3=6 and the three is from x/3 then 4+3=7 and then 7 would be the denominator and 6 would be the numerator. You should get 7/6

Which of the following sets of numbers could be the side lengths of a right triangle?

3, 4, and 7
9, 40, and 42
8, 15, and 16
20, 21, and 29

Answers

Answer:

9, 40, and 42

Step-by-step explanation:

Answer:

9, 40,and 42 is the answer

Step-by-step explanation:

To measure the height of the Washington Monument, a student 5.5 ft tall measures his shadow to be 4.25 ft. At the same time of day, he measured the shadow of the Washington Monument to be 430 ft
long. Use a calculator to estimate the height of the monument to the nearest foot.
The Washington Monument is approximately ________ft tall?

Answers

Answer:

OK, Well to solve this first,

Set up a ratio:

height of the student/student shadow length = height of the monument/monument shadow length

height of the monument = x

6ft./4.75ft =  x/435ft.

cross multtiply

6 * 435 = 4.75x

2610 = 4.75x

divide by 4.75 to both sides

2610/4.75 = 4.75x/4.75

549.47 = x

There you go Slide Brainliest Please

Step-by-step explanation:

I need help!! I will give 5.0 star ​

Answers

So, here we need to differentiate tan³[tex](\theta)[/tex], wr.t.[tex]\theta[/tex], but let's recall some identities which will be very useful in this question :

[tex]{\boxed{\bf{\dfrac{d}{dx}\{\tan (x)\}=\sec^{2}(x)}}}[/tex]

[tex]{\boxed{\bf{\dfrac{d}{dx}(x^n)=nx^{n-1}}}}[/tex]

[tex]{\boxed{\bf{\sec^{2}(\theta)=\tan^{2}(\theta)+1}}}[/tex]

Coming back on the question, consider :

[tex]{:\implies \quad \sf \dfrac{d}{d\theta}\{\tan^{3}(\theta)\}}[/tex]

[tex]{:\implies \quad \sf 3\tan^{3-1}(\theta)\dfrac{d}{d\theta}\{\tan (\theta)\}}[/tex]

[tex]{:\implies \quad \sf 3\tan^{2}(\theta)\sec^{2}(\theta)}[/tex]

Using the identity ;

[tex]{:\implies \quad \sf 3\tan^{2}(\theta)\{1+\tan^{2}(\theta)\}}[/tex]

[tex]{:\implies \quad \sf 3\tan^{2}(\theta)+3tan^{4}(\theta)}[/tex]

[tex]{:\implies \quad \sf 3\tan^{4}(\theta)+3\{\sec^{2}(\theta)-1\}}[/tex]

[tex]{:\implies \quad \boxed{\bf 3\tan^{4}(\theta)+3\sec^{2}(\theta)-3}}[/tex]

Hence, Proved

how to draw a line of best fit and calculate it?

Answers

A line of best fit is a straight line drawn through the maximum number of points on a scatter plot balancing about an equal number of points above and below the line.It is used to study the nature of relation between two variables.

Solution:

Draw a line through the maximum number of points, balancing about an equal number of points above and below the line. Make sure the number points above and below the line are almost same

What is the slope of a line parallel to the line whose equation is 2x + 12y = -192
Fully simplify your answer.

Answers

Answer: -[tex]\frac{1}{6}[/tex]

Step-by-step explanation:

      To solve this question, I am going to first put the equation into slope-intercept form.

      2x + 12y = -192

      12y = -2x - 192

      y = -[tex]\frac{2}{12}[/tex] - 16

      y = -[tex]\frac{1}{6}[/tex] - 16

      Now that the first equation has an easily identifiable slope, we can answer the question. Parallel lines will have the same slope, so that means the answer will be:

             -[tex]\frac{1}{6}[/tex]

Answer: 1/-6

Step-by-step explanation:

i had this equation

What is the rule for the sequence 600,300,150,75

Answers

Answer:

y=x/2

Step-by-step explanation:

hope u have a good day! pls give brainliest

What’s 8.4 cm converted to in.

Answers

Answer:

3.30709

Step-by-step explanation:

FORMULA :

divide the length value by 2.54

8.4 ÷ 2.54

= 3.30709

Which of the following is equivalent to (x + 1)^2 ?

x2 + 2x + 1
x2 + 1x + 1
x2 + 1
x2 + 1x

Answers

Answer:

x^2 +2x +1

Step-by-step explanation:

(x+1)^2

=(x+1)(x+1)

= x×x+x×1+1×x+1×1

=x^2+x+x+1

=x^2+2x+1

A locker combination has three nonzero digits, and digits cannot be repeated. If the first digit is 3, what is the probability that the next digit is odd?
A. 4/9
B. 1/5
C. 1/2
D. 5/9

Answers

Answer:

1/5 is the answer in my calculations

The answer is 4/9 the odds are 1,3,5,7,9 (5/9) but 3 is the first digit that leaves us with 1,5,7,9 or 4/9

The volume of a cylinder is 48n cubic feet. The
area of the base is 121 square feet.
What is the height of the cylinder?

Answers

Answer:

1.25 feet to the nearest hundredth.

Step-by-step explanation:

Voilume = π r^2 h

Here V = 48π , and area of the base = π r^2 = 121.

So  48π = 121h

h =  48π / 121

= 1.25 feet to the nearest hundredth.

the coordinates start at A: (2,1) B:(6,1) C(4,7) and change to A:(1,-2) B:(1,-6) C:(7,-4) what is the algebraic expression​

Answers

Letttt meee seeee I cannnnnn. Helpppppppp youuuuuuuuyy withhhh thissss

Please help I'll mark brainliest​

Answers

Answer:

I think it should be 80-89.

Because the mode can't be between 70 and 70 that wouldn't make sense. Basically 70 and 70 will equal 0 in between so it wouldn't be the best choice.

Ice is placed around a bowl of water to lower the temperature. The equation D=−75t+22 shows the time, t, measured in minutes and temperature, D, measured in degrees Celsius.

Answers

Answer:

Before cooling begins, the temperature of the water is 22°C.

Step-by-step explanation:

need steps??

have a good day

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Consider the rhombus ABCD with the side length AB of 14 cm and the measure of the angle B of 120 °. Through the vertex A goes a certain secant that intersects the extensions of the sides BC and CD in E, respectively F.
Calculate:
[tex] \frac{1}{ce} + \frac{1}{cf} [/tex]

Answers

Answer:

  1/14

Step-by-step explanation:

In the given geometry, we have similar triangles:

  ΔCEF ~ ΔBEA ~ ΔDAF

This lets us write the relations for corresponding sides ...

  CF/CE = DF/DA

where DF = CF -CD

We can rearrange this relation to give the value we're looking for as follows.

__

Making the substutition for DF, and multiplying by CE, we have ...

  CF = CE(CF -CD)/DA

Both DA and CD are sides of the rhombus, so are both 14 cm in length. Multiplying by DA and making the number substitution, we have ...

  DA·CF = CE·CF -CE·CD

  14·CF = CE·CF -14·CE . . . . substitute 14 for DA and CD

  14(CF +CE) = CE·CF . . . . . add 14·CE

  (CF +CE)/(CE·CF) = 1/14 . . . . divide by 14·CE·CF

  1/CE +1/CF = 1/14 . . . . . . . . . simplify

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