Mrs. Williams' desk is located at (-5,2). The wireless internet box is halfway between her desk and the door. If the box is located at the coordinates (8, -8), what are the coordinates of the door?

Answers

Answer 1

Topic : Midpoint between points

desk = (-5,2)box  =  (8, -8)door = (x, y)

formula:

[tex]\sf \bold{(x_m, y_m) = (\dfrac{x_1+x_2}{2}, \dfrac{y_1+y_2}{2})}[/tex]

=====================================

[tex]\hookrightarrow \sf \dfrac{x+(-5)}{2} ,\dfrac{y+2}{2} = (8, -8)[/tex]

separate taking coefficients:

[tex]\rightarrow \sf \dfrac{x-5}{2} =8, \ \dfrac{y+2}{2} = -8[/tex]

[tex]\rightarrow \sf x-5 =16, \ y+2 = -16[/tex]

[tex]\rightarrow \sf x =16+5, \ y= -16-2[/tex]

[tex]\rightarrow \sf x =21, \ y= -18[/tex]

coordinates of door: (21, -18)

Mrs. Williams' Desk Is Located At (-5,2). The Wireless Internet Box Is Halfway Between Her Desk And The
Answer 2

Let that be (x,y)

So

[tex]\\ \rm\rightarrowtail (8,-8)=(\dfrac{x-5}{2},\dfrac{y+2}{2})[/tex]

[tex]\\ \rm\rightarrowtail \cfrac{x-5}{2}=8\implies x-5=16\implies x=21[/tex]

[tex]\\ \rm\rightarrowtail \cfrac{y+2}{2}=-8\implies y+2=-16\implies y=-18[/tex]

(x,y)=(21,-18)

Related Questions

Need help, Brainliest if correct, Don’t answer if you don’t know.

Answers

the measure of angle c is 120

Answer:

C = M = 120

i hope this helps

Please help
I don’t know what to do with this

Answers

Answer:

The prediction should be 5 via interpolation.

Step-by-step explanation:

Based on the values you have, the linear equation is f(x)=x-1. So replace x with the number you're looking for (6).

In a general sense, to extrapolate is to infer something that is not explicitly stated from existing information. Interpolation is an estimation of a value within two known values in a sequence of values.

Graph the solution for the following linear inequality system. Click on the graph until the final result is displayed.
y ≥ 0
y < x
x + y < 6

Answers

Answer:

Step-by-step explanation:

What common donminator of 1/3 and 3/4

Answers

Answer:

12

Step-by-step explanation:

The least common denominator (LCD) of 1/3 and 3/4 is 12, because if you multiply the denominators of both fractions, 3 * 4 = 12.

This would change the fractions to-

1/3 * 4/4 = 4/12

3/4 * 3/3 = 9/12

I hope this was helpful! Have a lovely day!! :)

I need help with this question and a step by step explanation for future references, Thanks!

Answers

Answer:

x = 7

y = -2

Step-by-step explanation:

Equation 1:  2x + y = 12

Equation 2:  x - y = 9

Rewrite Equation 2 to make x the subject:

⇒ x = 9 + y

Substitute this into Equation 1 and solve for y:

⇒ 2(9 + y) + y = 12

⇒ 18 + 2y + y = 12

⇒ 18 + 3y = 12

⇒ 3y = -6

⇒ y = -2

Substitute found value of y into the rewritten Equation 2 and solve for x:

⇒ x = 9 + (-2)

⇒ x = 7

Step-by-step explanation:

2x + y = 12 equ 1

x - y = 9 equ 2

from equ 2 make x the subject

x - y = 9

x = 9 + y equ 3

substitute equ 3 to equ 1

2x + y = 12

2(9 + y ) + y = 12

18 + 2y + y = 12

3y = - 6

y = -2

substitute y = -2 into equ 3

x = 9 + (-2)

x = 9 - 2 = 7

(x, y) = (7, -2)

let's prove and see if we are correct

2x + y = 12

input the values of (x, y) = ( 7, -2) into the question

2(7) + (-2) = 12

14 - 2 = 12

12 = 12

for the second equation

x - y = 9

Input the values of (x, y) = ( 7, -2) into the question

7 - (-2) = 9

7 + 2 = 9

9 = 9

Add:

Help help help help
1350 + 238

Answers

The answer to 1,350+238 is 1,588.
1350+ 248= 1,588 use a calculator

There are two numbers. The smaller number is 32 less than the larger number. If the larger number is increased by 10, it will be 4 times that of the smaller number. Find the larger number.

Answers

Step-by-step explanation:

Let the larger no be = a

Difference of the numbers = a - 32

As per the question;

(a + 32) = 5(a - 32)

⇒ a + 32 = 5a - 160

⇒ 128 = 4a

⇒ a = 32

∴ The larger no is 32.

7 is less than y by 5.Find y.​

Answers

Answer:

12

Step-by-step explanation:

If 7 is less then y by 5, you add 5 to 7

7 + 5 = 12

resulting in y equaling 12

12 - 5 = 7

The sum of two integers is 72 and their difference is 8. Find the integers

Answers

The answer is 9 it’s correct
Hence the 2 integers are 32 and 40

If a family of three splits a 33.66 bill evenly how much will each family member owe

Answers

Answer:

$11.22

Step-by-step explanation:

Divide 33 by 3 and also divide .66 by 3. You get 11 and .22, add both of those together and you get $11.22

Suppose if, instead of depositing the $600 all at once, you deposit nothing at the beginning and you divide up the $600 into 12 envelopes each with $50. Find the balance after one year if you deposit one $50 envelope each month, all year, into an account that pays 5% APR with monthly compounding.

Answers

The balance after one year if you deposit one $50 envelope each month, all year is  $613.95.

What is the balance after one year?

The balance after 1 year can be determined using this formula:

Amount deposited monthly x annuity factor

Annuity factor = {[(1+r)^n] - 1} / r

Where:

r = interest rate = 5% /12 = 0.417%n = number of years = 1 x 12 = 12

Annuity factor = 1.004167^12 - 1 / 0.00417 = 12.279082

Balance = 12.279082 x 50 = $613.95

To learn more about annuities, please check: https://brainly.com/question/24108530

What is the equation of the axis of symmetry?

Answers

Answer: x=7
Explanation: graph :)

Expand to write an equivalent expression…
1/2(-4x + 2y)

Answers

-2x+y. You have to distribute 1/2 to -4x and 2y which will get -2x+ y as a expanded version

PLEASE HELP I WILL GIVE BRAINLIEST

Answers

Answer:

20 inches²

Step-by-step explanation:

perimeter = 8 + 3 + 5 + 4

= 20 inches²

hello help me with this question thanks in advance​

Answers

Answer:

B. 98 ft

Step-by-step explanation:

x^2 + y^2 = z^2

z = sqrt(84^2 + 50^2) = 97.7 ft ~ 98 ft

Question #5 Answer:

B. 98 feet

Step by-step explanation:

[tex]Solution:\ From\ question\\ 84\ feet\ long\ and\ 50\ feet\ wide\\ so\ he\ will\ run\ \sqrt{{84}^2+{50}^2}\ \approx98\ feet[/tex]

Please answer all correctly !!

Answers

Answer:

See below for answers and explanations

Step-by-step explanation:

Problem 1

To convert from polar to Cartesian coordinates, recall that [tex](x,y)=(r\:cos\theta,r\:sin\theta)[/tex], thus, [tex](x,y)=(6\:cos\frac{5\pi}{6},6sin\frac{5\pi}{6})=(6(-\frac{\sqrt{3}}{2}),6(\frac{1}{2}))=(-3\sqrt{3},3)[/tex]

Therefore, C is the correct answer

Problem 2

Convert from polar to Cartesian coordinates:

[tex](x,y)=(-5\:cos\frac{2\pi}{3},-5\:sin\frac{2\pi}{3})=(-5(-\frac{1}{2}),-5(\frac{\sqrt{3}}{2}))=(\frac{5}{2},\frac{-5\sqrt{3}}{2})[/tex]

Therefore, U is the correct answer

Problem 3

Since [tex]r=\sqrt{x^2+y^2}[/tex], then [tex]r^2=x^2+y^2[/tex]. Don't also forget to use the substitution [tex]x=r\:cos\theta[/tex]:

[tex]x^2+y^2-7x=0\\\\r^2-7rcos\theta=0\\\\r(r-7cos\theta)=0\\\\r-7cos\theta=0\\\\r=7cos\theta[/tex]

Therefore, B is the correct answer

Problem 4

[tex]r=(tan\theta)(sec\theta)\\\\r=(\frac{sin\theta}{cos\theta})(\frac{1}{cos\theta})\\ \\\frac{r^2}{r}=(\frac{rsin\theta}{rcos\theta})(\frac{r}{rcos\theta})\\ \\\frac{x^2+y^2}{\sqrt{x^2+y^2}}=(\frac{y}{x})(\frac{\sqrt{x^2+y^2}}{x})\\ \\x^2+y^2=\frac{y(x^2+y^2)}{x^2}\\ \\1=\frac{y}{x^2}\\\\x^2=y[/tex]

Therefore, A is the correct answer

The area of'a rectangular piece of cardboard is 108 em and its length is 18em. Find the width of the cardboard​

Answers

Answer:

I think you meant cm, not em. So the answer is 6 cm.

Step-by-step explanation:

18cm x 6cm = 108 cm

Help solve for “q”
—————————————

Answers

Digram:-

[tex] \\ [/tex]

[tex]\setlength{\unitlength}{1 cm}\begin{picture}(0,0)\thicklines\put(5,1){\vector(1,0){4}}\put(5,1){\vector(-1,0){4}}\put(5,1){\vector(1,1){3}}\put(2,2){$\underline{\boxed{\large\sf a + b = 180^{\circ}}$}}\put(4.5,1.3){$\sf a^{\circ}$}\put(5.7,1.3){$\sf b^{\circ}$}\end{picture}[/tex]

[tex] \\ [/tex]

STEP :-

[tex] \dashrightarrow \tt(4q - 1) {}^{ \circ} + {117}^{ \circ} = 18 {0}^{ \circ} [/tex]

{Linear pair}

[tex] \\ \\ [/tex]

[tex] \dashrightarrow \tt(4q - 1) {}^{ \circ}= 18 {0}^{ \circ} - {117}^{ \circ}[/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \tt(4q - 1) {}^{ \circ}=63^{ \circ}[/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \tt4q - 1{}^{ \circ}=63^{ \circ}[/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \tt4q =63^{ \circ} + 1{}^{ \circ}[/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \tt4q =64{}^{ \circ}[/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \tt \: q = \dfrac{64}{4}^{ \circ}[/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \tt \: q = \dfrac{16 \times 4}{4}^{ \circ}[/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \tt \: q = \dfrac{16 \times \cancel4}{\cancel4}^{ \circ}[/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \tt \: q = \dfrac{16}{1}[/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \bf q = 16 \degree[/tex]

[tex] \\ \\ [/tex]

Verification:

[tex] \\ [/tex]

[tex] \dashrightarrow \tt(4 \times 16- 1) {}^{ \circ} + {117}^{ \circ} = 18 {0}^{ \circ} [/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \tt(64- 1) {}^{ \circ} + {117}^{ \circ} = 18 {0}^{ \circ} [/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \tt63^{ \circ} + {117}^{ \circ} = 18 {0}^{ \circ} [/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \tt180^{ \circ} = 18 {0}^{ \circ} [/tex]

[tex] \\ [/tex]

LHS = RHS

HENCE VERIFIED!

Answer:

Value of [tex]\sf\purple{q\: = \:16.}[/tex]

Step-by-step explanation:

[tex]\rightarrow[/tex]As we know that,

Sum all angles that lie on a straight line = [tex]\sf\blue{180°}[/tex]

So,

[tex]\rightarrow[/tex] [tex]\sf{(4q-1)°+ 117°\: = \:180°}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{(4q-1)\: = \:180-117}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{(4q-1)\: = \:63}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{4q\: = \:63+1}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{q\: = \:\frac{64}{4}}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{q\: = \:16}[/tex]

Thus, [tex]\sf\purple{q\: = \:16.}[/tex]

_________________________________

Hope it helps you:)

The number 1 is a factor of _________.
A) all odd numbers
B) all even numbers
C) all whole numbers

Answers

Answer:

The number 1 is a factor of C)all whole numbers.

hello!

1 is a factor of all whole numbers.

Every single number, including odd numbers and even numbers, is divisible by 1 (evenly, without any remainders)

Remember, whole numbers include odd numbers, even numbers, and 0.

note:-

Hope everything is clear; if you need any more explanation and/or clarification, kindly let me know, and I will comment and/or edit my answer.

This figure is the pre-image of a prism that has undergone a dilation with a scale factor of 2/5.

What is the surface area of the image after the dilation?


206225 m²

26845 m²

51512 m²

58225 m²

Answers

Answer:

Step-by-step explanation:

Answer:

Yeah. The answer is [tex]206\frac{2}{25}[/tex].

Step-by-step explanation:

In the diagram, ABCD is a parallelogram. Write an argument to support the claim that
M x = M y

Answers

The angles m∠x = m∠y because alternate interior angles are equal.

What is a parallelogram?

A parallelogramis a quadrilateral in which opposite sides are equal and parallel to each other.

The opposite angles are also congruent, whereas consecutive interior angles are supplementary.

In the quadrilateral ABCD:

m∠x = m∠y (alternate interior angles are equal)

The angles m∠x = m∠y because alternate interior angles are equal.

Find out more on parallelogram at: https://brainly.com/question/970600


Give the center and radius of the circle described by the equation and graph the
equation. Use the graph to identify the domain and range.
(x+3)² + (x - 2)² = 9

Answers

Answer:

I don't know the exact answer but, I had a problem like this the other day. This is how to find it out. I am just in a rush so I have to go if not I would help you figure it out.

Step-by-step explanation:

Write the equation of each circle.

1. center at (9, 0), radius 5

SOLUTION:  

ANSWER:  

2. center at (3, 1), diameter 14

SOLUTION:  

Since the radius is half the diameter, r = (14) or 7.

ANSWER:  

3. center at origin, passes through (2,2)

Solve each of the following equations. Show its solution set on a number line. Check your answers. 7m+4=1
PLS HELP WILL GIVE BRAINLIEST

Answers

M=-3/7


Subtract 4 from both sides 7m+4-4=1-4
7m=-3
Divide both sides by 7
7/7m =-3/7
M=-3/7

Answer:

x=-3/7;x=-5/7

Step-by-step explanation:

.............help me

Answers

Answer:

A Translation 2 units left and 1 unit down

Step-by-step explanation:

For context, question 6 is:
What inverse operation will be used to undo the volume of Julie's jewelry box to find its edge lengths?

Volume formula for a cube is: volume = edge^3

//I have already answered This, I need help with #7, which is:
"If V = 216, what is the edge length of Julie's jewelry box?"

Answers

Answer:

6

Step-by-step explanation:

The inverse of cubed is cubed root. The cubed root of 216 is 6.

Rewrite the following without an exponent. (9/5)^-1

Answers

Answer:

5/9

Step-by-step explanation:

What we have here is the reciprocal of (9/5).  Inverting (9/5) results in (5/9), which is the desired result.

Which of the following choices represents the average of other four?
A)4. B)-3. C). -4. D). -17. E). 5

Answers

Answer:

B

Step-by-step explanation:

Let's add some numbers together and divide by the numbers of numbers. The answer should be among these.

4 + 5 + -4 + -3 = 2

4/2 = 2.

-17 + -4 + 4 + 5 = -12

-12/4 = -3.

The answer is B.

PLEASE HELPPP!!!!!!!!
If 0.000689 =689 ×10 ^n, find the value of n
Will n be negative or positive, that is all I need
Thanks

Answers

Answer:

  n = 6

Step-by-step explanation:

To find the exponent of 10, you can write the equivalent multiplier in standard form, then identify the place value of the 1 in the multiplier.

  0.000689 = 689 × 0.000001

The 1 is in the 6th place to the right of the decimal point. The place value of digits in that place is 10^-6

  0.000689 =689 × 10^n = 689 ×10^-6

  n = -6

_____

In the attached, your number would fill in the blanks to the right of the decimal point. The least-significant digit (9) would have a value of 9×10^-6.

What is the factorization of the trinomial below?

-x^2 - 2x + 48

A. -1(x - 8)(x + 6)

B. -1(x + 8)(x - 6)

C. (x + 6)(x - 8)

D. (x - 6)(x + 8)

Answers

Answer:

The answer to this question is A

25 am
15 cm
15 om
E9 cm
-
9 cm
What is the area of the trapezold?
O
354 cm
o
408 cm2
0 510 cm2
0 O
595
cm2

Answers

The answer is 408 cm2 after applying the formula of right angled triangle,adding 25 and both 9 and applying the formula 1/2(p1+p2)h

Please give me brainliest

Other Questions
Help to solve the equation 6. What was the likely argument John Quincy Adams made for why the Africans should be free?Amistad case R\ {0} Ris defined by Jff: 1 f(x)=x-1/x-1then show that 2 f(x) + f(1/x)=0. What type of account is sales returns and allowances?. How does Algebra act as a tool to improve communication Riley has completed 6 of the 30 pages she was assigned for homework. What percentage of her homework does Riley have left to complete? helppppppppppppppppppppppp define one meter lendth 15. What is atherosclerosis?A. the build up of fats and cholesterol in the walls of blood vesselsB. the field in which scientists investigate how many people have a diseaseC. a method used to correct arrhythmiasD. another word for high blood pressure She says that the coffee cup fountain actually holds about 400 gallons of coffee.The newscaster claims that if the coffee fountain really broke, the 400 gallons of coffee would cover theequivalent of half a city block.You look up some information. One gallon of water covers about 13.8 square feet. Near the mall, an average city block is about 300 feet by 300 feet.Assume the fountain holds 400 gallons of coffee. Using the information given, determine whether thenewscaster's claim is correct. Construct an argument that supports or refutes the newscaster's claim.Include mathematics to support your argument. What is the basic structure of a virus?DNA or RNA surrounded by a cell wall.O A capsid surrounded by a protein coat.A capsid surrounded by an envelope.DNA or RNA surrounded by a cell membrane A specialist who treats the genitourinary system of males is a/an. Tim wants to buy soda. He can choose a 6-pack of 0.355-liter cans or a 2-liter bottle. Which statement is true?A. The 6-pack contains 0.130 liters more soda.B. The 2-liter bottle contains 0.130 liters more soda.C. The 2-liter bottle contains 0.645 liters more soda.D.The 6-pack contains 0.645 liters more soda. Que son las Palabras variables? which five atoms tend to form double of triple bonds? explain why these atoms form double and triple bonds. An athlete runs in a straight line along a flat surface. He starts from rest and for 20 seconds accelerate at a constantrate. In this first 20 seconds he covers a distance of 100m. For the next 10 seconds he runs at a constant speed andthen decelerates at a constant rate for 5 seconds until he stops.a) What is the total distance that he ran?[5]Another athlete runs along the same track, starting from rest and she accelerates at the same rate as her friend. Shehowever only accelerates for 10 seconds before running at a constant speed. What does darcy feel when he finds out what elizabeth has said to lady catherine at longbourn? Sonia uses a 20% off coupon when she order from Uber eats original price of the order is $50 how much money does Sonya save What mountain range did the Inca civilization live in? What is wrong with this sentence THIS AREA IS A DESIGNATED CONSTRUCTION SIGHT. HARD HATS ARE REQUIRED AT ALL TIMES.