Triangle PQR has vertices P(-2,2), Q(8,2) and R(4,6).
(a) Find the equation of the perpendicular bisector of segment PQ.

I got so confused on this question if I could get help it would mean a lot

Answers

Answer 1

9514 1404 393

Answer:

  x = 3

Step-by-step explanation:

You can forget about point R. It does not have any part in this problem, except to add confusion.

The given line PQ has the same y-coordinate values for points P and Q. This means the segment is a horizontal segment. Its perpendicular bisector will be a vertical line through its midpoint.

The midpoint (M) of PQ is ...

  M = (P +Q)/2

  M = ((-2, 2) +(8, 2))/2 = (-2+8, 2+2)/2 = (6, 4)/2

  M = (3, 2)

The vertical line through a point with x-coordinate 3 will have the equation ...

  x = 3

Triangle PQR Has Vertices P(-2,2), Q(8,2) And R(4,6).(a) Find The Equation Of The Perpendicular Bisector

Related Questions

helpppppppppppppppp meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

a) = 4.198

b) = 4.146

Step-by-step explanation:

a) 15.444/6+0.232*7

do pemdas

=15.444/6+(0.232*7)

=(15.444/6)+1.624

=2.574+1.624

a) = 4.198

b) (1.709+0.364)*6/3

pemdas again

=(2.073) *6 / 3

=12.438 / 3

b) =4.146

Hope this helps :)

Answer:

A 4.198 and b is 2.073

Step-by-step explanation:

i hope this is right

If the scale is 3cm to 8 km, what is 5 cm?

Answers

Answer:

Step-by-step explanation:

3 cm=8 km

1cm=8/3 km

5 cm=8/3×5=40/3 =13 1/3 km

Which of the sets of terms below does NOT include like terms? *
1 point
9m, -9m, 7m
1p, -7p, 7p
30, -25, 25
6x, 6y, 6z

Answers

6x, 6y, and 6z are not like terms because they do not have all of the same variables.

Evaluate the following real numbers:

1. l5l + l4l
2. 0.4 ÷ 10
3. ¼ + ⅔
4. 3 × 1 ½
5. ⅓ - ¼
6. (⅜) (8/5)
7. ⅖ + ⅗
8. -1 + (-1) + [-(9+4)]
9. the value of x + y if x = 4 and y = 6
10. 9² + 3³

Answers

Answer:

Q.1 Answer is 9

Q.2 Answer is 0.04

Q.3 Answer is 11/12

Q.4 Answer is 3/2

Q.5 Answer is 1/12

Q.6 Answer is 3/5

Q.7 Answer is 1

Q.8 Answer is -15

Q.9 Answer is 10

Q.10 Answer is 108

I need help ASAP !!!

Answers

Answer:

B is it

Step-by-step explanation:

what is the value of y in the triangle?

Answers

Answer:

y = 3[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Since sinθ = opp/hypoteneuse,

sin60 = y/6

y = sin60° * 6

= [tex]\frac{\sqrt{3} }{2}[/tex] * 6

≈ 3[tex]\sqrt{3}[/tex]

Hence, y = 3[tex]\sqrt{3}[/tex]

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

Find the slope of the line that passes through each pair of points (-3,4) and (2,-3)

Answers

Answer:

[tex]\boxed{\sf m=-\frac{7}{5}}[/tex]

Step-by-step explanation:

[tex]\boxed{\sf{Slope}=\frac{y_2-y_1}{x_2-x_1}}[/tex]

→ [tex]\sf \left(x_1,\:y_1\right):\left(-3,\:4\right)[/tex]

→ [tex]\sf \left(x_2,\:y_2\right):\left(2,\:-3\right)[/tex]

[tex]\sf m=\cfrac{-3-4}{2-\left(-3\right)}[/tex]

[tex]\sf m=-\cfrac{7}{5}[/tex]

_________________________

the answer to this problem is - 7/5

Plzzzz I need Helpppp!!!​

Answers

Answer:

(8x+15)=(7x+17){ being alternative angle}

8x+15=7x+17

8x-7x=17-15

x=2

here,

8x+15= 8×2+15

16+15=31

7x+17

7×2+17

14+17

31

again

(8x+15)+y=180°( being straight angle)

31+y=180

y=180-31

y= 149

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

In the given figure, Angles (8x + 15) and (7x + 17) are equal

because they form pair of Alternate interior angles.

[tex]8x + 15 = 7x + 17[/tex]

[tex]8x - 7x = 17 - 15[/tex]

[tex]x = 2[/tex]

So,

[tex]8x + 15[/tex]

[tex]( 8\times 2) + 15[/tex]

[tex]16 + 15[/tex]

[tex]31 \degree[/tex]

now, as we can see Angle y and (8x + 15) are forming linear pair; so their sum measures 180°

[tex](8x + 15) + y = 180[/tex]

[tex]31 + y = 180[/tex]

[tex]y = 180 - 31[/tex]

[tex]y = 149 \degree[/tex]

Please help It really important​

Answers

A

the domain is the x-axis number soooo

Check cashing companies
charge high fees. Banks charge
less, or nothing, to cash checks
for their account holders. How
can you be sure to avoid check
cashing companies?

Answers

Answer:

they usually cost nothing if you go through your bank

Due tomorrow i need help please

Answers

Answer:

(-6,9)

Step-by-step explanation:

You first need to simplify the polynomial, which would equal to (x-9)(x+6). Then afterwords you would have to get the zeros of x by doing inverse operation, which would equal to (-6,9). Since these greater and lesser than the number within the graph they are parentheses instead of brackets.

find the total cost 35$ with 50% discount

Answers

Answer:

The total cost will then be $17.5

Answer:

17.5 dollars

Step-by-step explanation:

Sale price = $17.5 (answer). This means the cost of the item to you is 17.5. You will pay $17. 5 for a item with an original price of $35 when discounted 50%. In this example, if you buy an item at $35 with 50% discount, you will pay 35 - 17.5 = 17. 5

Graph y= –3x+4.

i need a pic
5o points and brain thing

Answers

Refer to the attachment

What is the equation of the line that passes through the point (6,14) and is parallel to the line with the following equation? y=-4/3x -1

Answers

Answer:

[tex]y=\displaystyle-\frac{4}{3}x+22[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-interceptParallel lines always have the same slope (m)

Determine the slope (m):

[tex]y=\displaystyle-\frac{4}{3}x -1[/tex]

The slope of the given line is [tex]\displaystyle-\frac{4}{3}[/tex], since it is in the place of m in y=mx+b. Because parallel lines always have the same slope, the slope of a parallel line would also be [tex]\displaystyle-\frac{4}{3}[/tex]. Plug this into y=mx+b:

[tex]y=\displaystyle-\frac{4}{3}x+b[/tex]

Determine the y-intercept (b):

[tex]y=\displaystyle-\frac{4}{3}x+b[/tex]

To find the y-intercept, plug in the given point (6,14) and solve for b:

[tex]14=\displaystyle-\frac{4}{3}(6)+b\\\\14=-8+b\\b=22[/tex]

Therefore, the y-intercept of the line is 22. Plug this back into [tex]y=\displaystyle-\frac{4}{3}x+b[/tex]:

[tex]y=\displaystyle-\frac{4}{3}x+22[/tex]

I hope this helps!

Helppp ppleasee ??!!

Answers

Answer:

[tex](m^{4} + 5) - n^{3}[/tex] = 85

Step-by-step explanation:

[tex](m^{4} + 5) - n^{3}[/tex] given m = - 2, and n = -4

Substitute the given values into the polynomial expression:

[tex](m^{4} + 5) - n^{3}[/tex]

[tex][(-2)^{4} + 5] - (-4)^{3}[/tex]

= (16 + 5) - (-64)

= 21 + 64

= 85

Therefore, the correct answer is 85.

Answer: 85

Step-by-step explanation:

(m^4+5)-n^3

(-2^4+5)-(-4)^3

(16 + 5)-(-64)

21 + 64 = 85

what is the height of the prism?

Answers

Answer:

6m

Step-by-step explanation:

Hope this helps!!!

Answer:

Step-by-step explanation:

l = 3 m

w = 2 m

Volume = 36 cubic meter

l * w * h = 36

3 * 2 * h = 36

6 * h = 36

      h = 36/6

h = 6 m

QUESTION 8
The city Music Hall charges $24.00 per adult and $14.00 per senior citizen. One day 492 people attended a concert. The total for tickets purchased
was $7878.00. How many senior citizens attended the concert?
O 393 senior citizens
O 99 senior citizens
O200 senior citizens
O 292 senior citizens

Answers

Answer:

Adults (x) = 99 and

Seniors (y) = 393

393 seniors

Step-by-step explanation:

Adults= x

Seniors = y

1) x+ y = 492

2) 24x + 14y = 7,878

1) x = 492 - y

2) 24 (492 - y) + 14 y = 7,878 (substitution)

11808 - 24y + 14y = 7,878

11,808 - 10y = 7,878

11,808 - 7,878 = 10y

3,930/10 = y

y = 393

1) x + 393 = 492 (substitution)

x = 492 - 393

x = 99

A 2-column table with 6 rows. Column 1 is labeled Height (inches) with entries 30, 46, 49, 63, 67, 73. Column 2 is labeled Arm Span (inches) with entries 27, 45, 47, 63, 69, 71.
1. Label axes according to input/output.



is the x–axis label.


is the y–axis label.
2. Plot the ordered pairs of the independent/dependent variables.

The ordered pair
is found in the scatterplot.

Answers

Answer:

1. Hight (in.)

2.Arm span (in.)

3.(30,27)

Answer:

1. Hight (in.)

2.Arm span (in.)

3.(30,27)

Step-by-step explanation:

I'm late but hope this helps

Karen wants to buy a $22.50 jacket that is marked 20% off.
Select from the drop-down menu to correctly complete the sentence.
The best estimate for the discount can be found using the expression Choose.

Answers

Answer:

discount = price times % off

discount = 22.50 x 0.20

discount = $4.50

Step-by-step explanation:

Which equations have the same pair of solutions? Select all that apply.

n(n + 3)(n - 4) = 0
2n(4n + 6)(6n - 4) = 0
0 = 2n(6 - 4n)(4 - 6n)
0 = n(2n + 3)(3n - 2)
2n(2n + 3)(3n - 2) = 0
3n(6n + 9)(9n - 6) = 0

Answers

2, 4, 5 and 6. That is the order of equations

Domingo earns $13 dollars per hour and worked 47.5 hours that week. He is paid
double time for all hours worked over 40 hours in one week. What is his gross pay
for the week?

Answers

Domingo earns 715$ in the week that is his gross income

Find the solution to the system of the equations shown below:
y = - 4x + 11
y = 1/2x+ 2

a. (4,1)
b. (11, 2)
C. (2,3)
d. (3, 2)

Answers

Hi

The answer is C. (2, 3).

A rental car company charges $54.35 per day to rent a car and $0.09 for every mile driven. Jayden wants to rent a car, knowing that: • He plans to drive 425 miles. • He has at most $310 to spend. Use the drop-down menu below to write an inequality representing d, the total number of days Jayden can rent the car while staying within his budget.​

Answers

The inequality representing d, the total number of days Jayden can rent the car while staying within his budget is 54.35d + 38.25 ≤ 310

Given:

Charge per day = $54.35

Charge per mile = $0.09

Total miles = 425 miles

Amount to spend = at most $310

let

d = number of days

The inequality:

54.35 × d + 0.09 × 425 ≤ 310

54.35d + 38.25 ≤ 310

54.35d ≤ 310 - 38.25

54.35d ≤ 271.75

d ≤ 271.75 / 54.35

d ≤ 5 days

Therefore, the total number of days Jayden can rent the car while staying within his budget is 5 days

Read more:

https://brainly.com/question/11166576

Solve the inequality.
-12 < 1/2(x+16) < 18

Answers

Answer:

-40 < x < 20

Step-by-step explanation:

step 1: -12 < 1/2(x+16) < 18 --> Distribute

step 2: -12 < 1/2x + 8 < 18 --> subtract 8

step 3: -20 < 1/2x < 10 --> Multiply by 2

answer : -40 < x < 20

what is the equivalent value 3/2×(−2)

Answers

Answer:

= -3

multiplying and dividing fractions

Answer:

-3

Step-by-step explanation:

3/2^(-2)=-3

What is the P(Red Diamond Face Card) and the P (Black Face Card) ​

Answers

Answer:

9/1352.

Step-by-step explanation:

P(Red Diamond Face Card) = 3/52.

P (Black Face Card) = 6/52 = 3/26.

So the answer is 3/52 * 3/26

= 9/1352.

A gold coin has a mass of 45.6 grams and a volume of 2.28 cubic centimeters. Calculate its density. Write your answer to the tenths place. ​

Answers

Answer:

Density (ρ) = 20000 kilogram/cubic meter

Step-by-step explanation:

complete the table to summarize what you know about each rocket.

Answers

need more information. need to see the table

Pls anyone know this

Answers

He can make
526
562
265
256
652
625
Answer:
256
265
526
562
625
652

I think that’s it. Hope this helps

How many solutions are there for the following equation? Why?
8(x + 9) = 72 – 5x
Select the option that correctly answers both questions.

1 There is one solution, because the coefficients of the variables on both sides of the equation are different.

2 There is one solution, because the coefficients of the variables on both sides of the equation are the same.

3 There are no solutions, because the coefficients of the variables on both sides of the equation are different.

4 There are no solutions, because the coefficients of the variables on both sides of the equation are the same.

Answers

Answer:

I think 2? maybe 1.

Step-by-step explanation:

because it becomes 8x+72=72-5x which can then become 3x=0 then x=0/3 and 0/3=0 so x=0

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