If M (-2, 5) is the midpoint of
CD and the coordinates of C are (4, 7), what are the coordinates of D?

Answers

Answer 1

Answer:

soln ,given,

midpoint of CD=M(-2,5)

let,

C(4,7)=(x1,y1)

D(x1,y2)=?

now by using midpoint formula =(x1+x2)/2+(y1+y2)/2

M(-2,5)=( 4+x2)/2+(7+y2)/2

comparing both sides

-2=(4+x2)/2

-4=4+x2

-4-4=x2

threfore,x2= -8

again

5=(7+y2)/2

10=7+y2

therefore,y2=3

thus , the coordinate of D is D(-8,3)


Related Questions

What ratio is equivalent to 18:3 and 6:1

Answers

Answer:

12:2

Step-by-step explanation:

THIS IS TRUE AND EASY

Answer:

12:2

24:4

30:5

36:6

42:7

Simplify: (2 3/5)+(-3 3/4)​

Answers

Answer:

-23/20

Step-by-step explanation:

The answer is 52/75 :)

translate the following statement into an equation and solve for x: the number 80 is the product of "-10" and x

Answers

The value of x is -8 in the equation.

How to calculate the equation?

It should be noted that the information is that the number 80 is the product of "-10" and x.

This will be represented as:

-10 × x = 80

-10x = 80

Divide both side by -10

-10x/-10 = 80/-10

x = -8

Therefore, the value of x is -8.

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shae used the product of rule to prove that 7 to 0 power is equal to 1

Answers

Answer:

yes a product of any number to 0 is equal to 1

Are 5y and 5x like terms?

Answers

Answer:

No. They include 2 different elements that are unrelated, being x and y, making them unlike terms.

Answer:no

Step-by-step explanation:in order for them to be like terms they would have to have the same variables

Point N is the midpoint of segment FG. If FN = 2z2 + 4z +3, write the expression below that represents FG.

Answers

The center of segment FG is located at point N. Write the formula that expresses FG if FN = 2z2 + 4z + 3.

Since O represents the midway, both FO and OG must be equal.

3x + 17 = 7x - 15

Add 3x to both sides and subtract:

17 = 4x -15

To both sides, add 15:

32 = 4x

Subtract 4 from both sides:

x = 32/4

X = 8

Now that you know the value of X, find the lengths:

FO = 3x +17 = 3(8) +17 = 24 +17 = 41

OG = 7x -15 = 7(8) -15 = 56-15 = 41

Total length would be 41 + 41 = 82

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PLEASE HELP ASAPPP !! WILL GIVE BRAINLIEST AND 5 STAR RATINGGG

Answers

Answer: C

Step-by-step explanation:

A negative times a negative equals a positive.

Segments AD and BC intersect at point O.
Prove that AC = BD,
m∠ABC=m∠BAD.

Answers

Since both triangles are congruent, then we can conclude that AC = BD by Angle - Side - Angle congruence theorem.

How to prove Congruent Angles?

In ΔOAC and ΔODB, we have the following observations

CO = DO because it is shown that they are congruent

∠AOC = ∠BOD because vertical angles are congruent

∠ACO = ∠BDO because we are given that they are congruent

Now, the congruency theorem that we can use here is ASA which means Angle - Side - Angle. This implies that 2 corresponding angles and the included side are congruent.

If any two angles and the side included between the angles of one triangle are equivalent to the corresponding two angles and side included between the angles of the second triangle, then the two triangles are said to be congruent by Angle - Side - Angle congruence theorem.

Since both triangles are congruent, then we can conclude that AC = BD by Angle - Side - Angle congruence theorem.

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A vinyl decal shop charges a set-up fee of $25.00 and $5.00 for each decal printed. donna is ordering one decal for each of the 6 cheerleaders. if x decals are ordered, the total cost of the set-up fee and decals can be represented by f\left(x\right)=5x+25f(x)=5x+25. what are the range values for this situation?

Answers

The range of the situation is 30 to 55.

What is equation?

An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra. Algebra is used when you do not know the exact number in a calculation.

Given:

A vinyl decal shop charges a set-up fee of $25.00

$5.00 for each decal printed.

as, f(x)=5x+25 represents the total cost of the set-up fee

we have 6 cheerleaders

put x= 1

5x+25 = 5+25 = 30

and x=6

5x+25= 5*6+25= 30+25= 55

Hence, the range is 30 to 55.

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. Model Real Life A veterinarian walks about
10,000 steps each weekday. She walks about
8,000 steps each day of the weekend. About how
many steps does she walk in one week?

Answers

No. of steps in one week = 66000

First order equations include linear equations. In the coordinate system, the linear equations are defined for lines. A linear equation in one variable is one in which there is a homogeneous variable of degree 1 (i.e., only one variable). Multiple variables may be present in a linear equation. Linear equations in two variables, for example, are used when a linear equation contains two variables. Examples of linear equations include 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, and 3x - y + z = 3.

In weekday = 10000

In weekend = 8000

There are 5 weekdays and  2 days in weekend

SO,  5 x 10000 + 2 x 8000

  = 50000 + 16000

   = 66000 steps.

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Help me out to get the answer please

Answers

Answer:

21

Step-by-step explanation:

1+6=7

7+4=11

11+11=21

Answer:

m=7

Step-by-step explanation:

it's in the picture

the left got cut out but there's a bracket at the end of the first line

Evaluate the expression 5•5-1•3

Answers

5 * 5 - 1 * 3

Since multiplication goes before addition in PEMDAS, we do the multiplication first.

25 - 3

2

Answer:

22

Step-by-step explanation:

5•5-1•3

(5 x 5) - (1 x 3)

25 - 3

22

You would multiply both separately and then subtract.

Remember PEMDAS

:)

8/7 x 4 6/7 help plssss

Answers

Answer:

272/49

Step-by-step explanation:

hope this helps :)

solve 2x + 6 < 10 or 2x + 8 > 20.

Answers

Answer:

Step-by-step explanation:

the answer you end up getting is D

2x/2 > 12/2x > 6

Because x is greater than 2

Does the figure below appear to have line symmetry if so how many lines of symmetry

Answers

It has 0 lines of symmetry

find the intersection of the three sets: A={-2,7,8,11}, B={-2,7,11}, C={-2,8,11}

Answers

The intersection of three sets A,B and C is {₋2 , 11}.

Given set A = {₋2,7,8,11}

set B = {₋2,7,11}

set C = {₋2,8,11}

we need to find A∩B∩C.

The components shared by all the sets A, B, and C are given by the intersection of A and B as a set. A ∩ B ∩ C is a notation that can be used to indicate the intersection of A, B, and C.

To obtain A intersection B intersection C, first determine the common elements of sets A and B, or A ∩ B. Then determine the common elements of sets B and C, or B ∩ C. Finally, compute the common elements of these two results.

we first find:

A∩B = {₋2,7,8,11} ∩  {₋2,7,11}

=  {₋2,7,11}

then B ∩ C =  {₋2,7,11} ∩  {₋2,8,11}

= {₋2 , 11}

now (A∩B) ∩ (B∩C) =  {₋2,7,11} ∩ {₋2 , 11}

= {₋2 , 11}

hence we get the intersection of three sets as {₋2 , 11}

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Need help with Equations with Fractions - URGENT!!!!

Answers

Answer: 2: v = -26 | 3: k = 7 | 4: x = 3/14 |

Step-by-step explanation:

---------------------------------------------------------------------------------------------------

2: 4 + v/8 = 3/4

First we have to leave the variable "v" alone and we do the opposite on the other side.

So we do 4 + v/8 = 3/4 ----> v/8 = 3/4 - 4

---> v/8 = -3 1/4

next we do 8 * v/8 = -3 1/4 * 8

We get v = -26

---------------------------------------------------------------------------------------------------

3: 2/3 + 3/4k = 71/12

Subtract 2/3 from both sides

= 3/4k = 63/12

Reduce 63/12 to 21/4

= 3/4k = 21/4

Multiply each side by 4/3, the reciprocall of 3/4

then we get k = 21/3

Which means k = 7

---------------------------------------------------------------------------------------------------

4: 1/2 + 7/10x = 13/20

Subtact 1/2 from both sides

= 7/10x = 3/20

Multiply each side by 10/7, the reciprocal of 7/10

x = 3 * 10/20 * 7

= x = 30/140

= x = 3/14

























Givin h(x) =-x-2 , solve for x when h(x)= 3.

Answers

Answer:

-5

Step-by-step explanation:

h(x)=3

3=-x-2

3+2=5

3=-(-5)-2

negatives cancel

3=5-2

Identify the vertex, axis of symmetry, and direction of the graph of each function. Compare the width of the graph to the width of the graph of f(x)=x^2

Answers

Answers:Vertex = (2, -4)Axis of symmetry is x = 2Direction: Opens upward

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

Explanation:

Compare the equation

[tex]y = (x-2)^2 - 4[/tex]

to the vertex form

[tex]y = a(x-h)^2 + k[/tex]

we have:

a = 1h = 2k = -4

The vertex is located at (h,k) = (2, -4). Nice job on getting the correct answer for the vertex.

The axis of symmetry is x = 2 since the axis of symmetry goes through the vertex. It's the vertical mirror line.

Because a = 1 is positive, the parabola opens upward. It forms a bowl shape. The vertex is the lowest point.

If a < 0, then the parabola would open downward and have a highest point.

A $44,200.00 principal earns 5% interest, compounded annually. After 4 years, what is the balance in the account? Round to the nearest cent.

Answers

The balance amount at the end of 4 years in the account will be $53275

Principal amount= $44200

Rate of interest = 5% compounded annually

Number of years amount is invested for: 4 years

The formula for compound interest is given by:

A = P(1 + r/100)^n

where A = Final amount

P = principal amount invested

r = Rate of interest annually

n = number of years amount is invested

Putting the values in the formula we get:

A = 44200(1 + 5/100)^4

= 44200(1.05)^4

=44200*1.21

Amount at end of 4 years= 53725.37 or 53725

So, the balance amount at the end of 4 years in the account will be $53275

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point b is between A and C. if AC = 3x+3, BC = 2x-1, and AB = 11. Find the length of BC

Answers

Answer:  13

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

Work Shown:

AB+BC = AC

(11) + (2x-1) = 3x+3

2x+10 = 3x+3

2x-3x = 3-10

-x = -7

x = 7

which is then use to find:

BC = 2x-1 = 2*7-1 = 13AC = 3x+3 = 3*7+3 = 24

As a check,

AB+BC = 11+13 = 24 = AC which confirms the answer.

If there are 52 weeks in a year, how many more hours does a squirrel sleep in a year than a rabbit?

Answers

The squirrel sleeps 2548 hours more than the rabbit.

Difference of the numbers

Difference of the numbers means the result of subtracting one number from another.

Given,

If there are 52 weeks in a year,

Then we need to find how many more hours does a squirrel sleep in a year than a rabbit.

First, we have to find the sleeping pattern of squirrel  and rabbit.

A squirrel spends up to 60% of its day asleep, which means that an average squirrel sleeps for almost 15 hours each day.

Similarly, the rabbits are sleep six to eight hours each day.

So for one day,

Rabbit = 8 hours per day

Squirrel = 15 hours per day.

Then the sleeping hours for one week is

Rabbit = 8 x 7 = 56 hours

Squirrel = 15 x 7 = 105 hours

So, for 52 weeks, they spend

Rabbit = 56 x 52 = 2912

Squirrel = 105 x 52 = 5460

So, the difference is

=> 5460 - 2912

=> 2548

Therefore, the squirrel sleeps 2548 hours more than the rabbit.

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Johnathan worked 4 hours on Monday, 4 hours on Tuesday, 4 hours on Wednesday, 4 hours on Thursday, and 4 hours on Friday. He makes $12.125 an hour. What is his total pay?

Answers

Answer:

$242.50

Step-by-step explanation:

The total of number of hours = 20

Hourly pay = 12.125

20*12.125

Total pay= 242.50



11 Write as a power of 5

125²

Answers

Hi
Check out the attached photo


Smallest
437.55
437.49
437.15
437.5
437.05
Largest

Answers

Answer:

smallest to largest will be:

437.05 , 437.15, 437.49, 437.5, 437.55

Step-by-step explanation:

an easier method i use is to simply check the 1st digit rhat comes after the decimal point if the whole numbers are similar.

in a case where there is only one number after the decimal while the rest have 2, for example 437.5, simply add a 0 to make it even as the rest

HELP PLEASEEEI’ll
Make you brainlist

Answers

Answer:

Step-by-step explanation:

0,5 0.6 and 0.5 again? sorry i might be wrong if i am my apologies

25 points plus brainliest

Answers

Answer:

2

Step-by-step explanation:

To get the slope you must subtract the second y-coordinate and the first y-coordinate (of the 2 given points) and divide that by the difference of second x-coordinate and first x-coordinate (of the 2 given points).

y-coordinate 2 - y-coordinate 1

--------------------------------------------- <----- fraction bar/ divide

x-coordinate 2 - x-coordinate 1

3 - 1 2

------ = ---- = 2

1 - 0 1

Slope = 2

Please help me with this

Answers

Answer:

2.7 miles

Step-by-step explanation:

0.5 + 1.3 + 0.9 = 2.7

21
Starting with the letter A and counting left
to right,
B
C
I
J
P Q
write the fifth letter
write the eighth letter
write the third letter
A
H
O
D
K
E
L
RS
CND
G
F
M
T U

Answers

Answer:

fifth letter: E

eighth letter: H

third letter: C

Im not sure

X - 2(X + 10) = 12
What is this??!?!!?

Answers

Answer:

-32

Step-by-step explanation:

Pal, it's M A T H

Answer:

-32

Step-by-step explanation:

x-2x-20=12

-x=32

x=-32

.....................

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