X has coordinates (a,3a) and Y has coordinates (-5a,0). Find the coordinates of the midpoint of XY

Answers

Answer 1
Answer:

For this case we have that by definition, the midpoint of a segment is given by:

XY = (\frac {x1 + x2} {2}, \frac {y1 + y2} {2})

We have the following ordered pairs:

(x1, y1) = (a, 3a)\n(x2, y2) = (- 5a, 0)

Therefore, substituting values we have:

XY = (\frac {a-5a} {2}, \frac {3a + 0} {2})

Rewriting we have:

XY = (\frac {-4a} {2}, \frac {3a} {2})\n

XY = (- 2a, \frac {3a} {2})

Answer:

the coordinates of the midpoint of XY

XY = (- 2a, \frac {3a} {2})


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Use the formula A=1•w , solve the following word problem. You have enough wallpaper to cover 240 square feet. If your walls are 8 feet high, what wall length can you paper?a.Wall length of 40 feetb.Wall length of 30 feetc.Wall length of 3 feetd.Wall length of 16 feetPlease select the best answer from the choices providedABCD
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Is the following number 732 divisible for both 3 and 4?

John will be x in 7 years. How old was he last year? A: x + 7
B: 1 - x - 7
C: x + 8
D: x - 8

Answers

Right now, he is 7 less than he will be in 7 years, and 1 more than he was last year.

'x' is 7 more than he is right now, and 8 more than he was last year.

If 'x' is 8 more than he was last year, then he was  (x - 8) last year.

That's Choice-'D'.
D is the answer, because seven minus X is his age this year and a year before that is last year. So the answer is X-8

DOMAIN:
RANGE
FUNCTION:

PLZZ HELP HURRYY‼️‼️‼️

Answers

Answer:

The input (domain) are usually on the left side of the circle.

Domain = [-2, 0, 3, 4, 6]

The output (range) are usually on the right side of the circle.

Range = [-3, -2, 0, 1, 2, 4]

Since the domain of 3 is pointing at two ranges (3, 4) and (3, -3), the x value repeats.

Functions do not have repeating x values.

The picture shown is not a function.

Answer:

Step-by-step explanation:

Domain is the set of all inputs.

Domain: {-2, 0, 3, 4, 6}

Range is the set of all outputs.

Range: {-3, -2, 0, 1, 2, 4}

Function: it is not a function because one input can not have multiple outputs.

Output has to be unique but input '3' has two outputs '4' and '-3'

Hence not unique.

What is 6+9+4+1+10? Please explain?

Answers

30, 6+9= 15+4= 19+1= 20+10= 30
6+9=15+4=19+1=20+10=30

a bowl contains eight pennies, seven nickles and ten dimes. Elyse removes one coin at random from the bowl and does not replace it. she then removes a second coin at random. what is the probability that both will be nickels?

Answers

25 coins in total.

7/25 x 6/24 = 7/25 x 1/4 = 7/100 is the probability

Simplify.–1 + 5(6 – y)



A.


–y + 5


B.


–y + 29


C.


–5y + 29


D.


–5y – 31

Answers

The answer is C. This is because you have to expand the brackets
-1+5(6-y)
The -1 remains the same but the bracket changes.
-1+30-5y
This is because the 5*6 is 30 and 5*y is 5y
This can be simplified to
29-5y or -5+29

Jennifer got a box of chocolates. the box is a right triangular prism shaped box. it is 7 in long. and the triangular base measure 2in times 3in times 4in. what is the surface area of the box of chocolates?

Answers

Answer:

A = 68.8 inches^(2)

Step-by-step explanation:

Given : Jennifer got a box of chocolates. the box is a right triangular prism shaped box. it is 7 in long. and the triangular base measure 2in times 3in times 4in.

a = 2

b=3

c=4

To Find : what is the surface area of the box of chocolates?

Solution: The first thing we should know is the area of the triangular base.

 Triangular base area: 

A1 =√((s * (s-a) * (s-b) * (s-c)) )

 Where, s is the semi-meter of the triangle:

s =( (a + b + c) )/( 2)

 a, b, c: sides of the triangle.

 Substituting:

 s = (2 + 3 + 4) /2=4.5

A1 = √( (4.5 * (4.5-2) * (4.5-3) * (4.5-4)))

 A1 = 2.90

 Then, you must know the area of each rectangle associated with each side of the triangular base.

 Rectangle area 1: Ar1 = (a) * (l)

                              Ar1 = (2) * (7)

                              Ar1 = 14

 Rectangular area 2:   Ar2 = (b) * (l)

                                    Ar2 = (3) * (7)

                                    Ar2 = 21

 Rectangular area 3:   Ar3 = (a) * (l)

                                    Ar3 = (4) * (7)

                                    Ar3 = 28

 Finally the surface area is: A = Ar1 + Ar2 + Ar3 + 2 * A1

                                             A = (14) + (21) + (28) + 2 * (2.90)

                                           A = 68.8 inches^(2)

 Hence the surface area of the box of chocolates is 

A = 68.8 inches^(2)