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

Answer:

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

Step-by-step explanation:

Hi there!

What we need to know:

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!

Refer to the attachment

Answer:

discount = price times % off

discount = 22.50 x 0.20

discount = $4.50

Step-by-step explanation:

A

the domain is the x-axis number soooo

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.

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

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

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

because they form pair of Alternate interior angles.

So,

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

Answer:

Density (ρ) = 20000 kilogram/cubic meter

Step-by-step explanation:

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

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

Answer:

B is it

Step-by-step explanation:

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

Answer:

Step-by-step explanation:

3 cm=8 km

1cm=8/3 km

5 cm=8/3×5=40/3 =13 1/3 km

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]

_________________________

Answer:

they usually cost nothing if you go through your bank

Answer:

= -3

multiplying and dividing fractions

Answer:

-3

Step-by-step explanation:

3/2^(-2)=-3

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

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

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

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

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.

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

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

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

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

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