Q8
The midpoint of GH is M (2,2). One endpoint is H (1,9). Find the coordinates of endpoint G.

Answers

Answer 1

Answer:

(3,-5)

Step-by-step explanation:

Given

[tex]M = (2,2)[/tex]

[tex]H = (1,9)[/tex]

Required

Determine G

This is calculated using the following midpoint formula;

[tex]M(x,y) = (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})[/tex]

Where

[tex](x,y) = (2,2)[/tex] and [tex](x_1,y_1) = (1,9)[/tex]

Substitute these values in the formula above

[tex](2,2) = (\frac{1 + x_2}{2},\frac{9 + y_2}{2})[/tex]

Solving for [tex]x_2[/tex]

[tex]2 =\frac{1 + x_2}{2}[/tex]

Multiply both sides by 2

[tex]2 * 2 = 1 + x_2[/tex]

[tex]4 = 1 + x_2[/tex]

[tex]x_2 = 4 - 1[/tex]

[tex]x_2 = 3[/tex]

Solving for [tex]y_2[/tex]

[tex]2 = \frac{9 + y_2}{2}[/tex]

Multiply both sides by 2

[tex]2 * 2 = 9 + y_2[/tex]

[tex]4 = 9 + y_2[/tex]

[tex]y_2 = 4 - 9[/tex]

[tex]y_2= -5[/tex]

Hence, the coordinates of G is [tex](3,-5)[/tex]


Related Questions

Simplify 1,999,999 with an exponent of 0

Answers

The value of 1,999,999 with an exponent of 0 is 1,999,999 × 10⁰

Before we can simplify with an exponent of zero, first we must understand that any number raised to the power of zero gives 1. Hence:

1,999,999 = 1,999,999 × 1

Since 1 can be expressed as 10⁰, the value becomes:

1,999,999 = 1,999,999 × 10⁰

Hence the value of 1,999,999 with an exponent of 0 is 1,999,999 × 10⁰

Learn more here: https://brainly.com/question/545746

HELP!!
PLEASE MARKING BRAINLIEST!!!!

please find the square root of..

5,3,and 10...

Show work? Please :[[[[[[[

Answers

Step-by-step explanation:

hope the work helps for your answer :)

Need Help ASAP This is due in about 10 minutes

Answers

Answer:

1- 3(BDE)

2- 37.18 (83.36 - 46.18=64)

3- 64 (83.36 - 19.36)

4- 140.2  (56.84 + 83.36=140.2)

how to do this question plz ​

Answers

Answer:

y=-2x-1

Step-by-step explanation:

first take 2 points from the graph to find m ( linear equation y=mx+b)

(-1,1) and (-2,3)

m=y2-y1/x2-x1

m=3-(1)/-2+1

m=2/-1

m=-2

now find b at point -1,1

y=-2 x+b

1=-2(-1)+b

b+2=1

b=1-2 ⇒ b=-1

y=-2 x -1

Round 120 problems in 5 hours

Answers

24 is the answer .:)

Charlie has a collection of books that he wishes to display in a narrow bookcase with shelves of width 56cm. The thickest books are no more than 16cm wide and, when placed side by side, the entire collection takes up 2.4m. Find, with justification, the minimum number of shelves required to guarantee that all of the books can be displayed in the bookcase.

Answers

Answer:

5 shelves

Step-by-step explanation:

Given the following :

Width of shelves = 56cm

Maximum thickness of books = 16cm

When placed side-by-side, the entire collection of books takes up 2.4m

Minimum number of shelves required to guarantee that all of the books can be displayed in the book case.

Entire book collection = 2.4m = (2.4 × 100) = 240cm

Width of shelf = 56cm

In other to guarantee that the bookshelf contains all the books, we can assume that the each book is of maximum width, 16cm

Hence, maximum number of books each shelf can hold with guarantee

Width of shelf / max. Width of book

= 56cm / 16cm = 3.5

Hence, a shelf can hold 3 books with full guarantee.

If books are all 16cm thick, then the number of books ;

240 cm / 16 cm = 15 books

If one shelf can hold 3 books, then,

15/3 = 5 shelves are required to hold the books with maximum guarantee.

What is an algebraic expression for each phrase? A. The product of 9 and a number t. B. The difference of a number x and 1/2 c. The sum of a number m and 7.1

Answers

Answer:a) 9 x t

b) x - 1/2c

c) m + 7.1

Step-by-step explanation:

STEP 1

Giving the algebraic expression  becomes

A- The product of 9 and a number t. =       9 X t

B. The difference of a number x and 1/2 c=     x  -  1/2 c

C.   The sum of a number m and 7.1  =      m + 7.1

Step 2

The answers are

a) 9 x t

b) x - 1/2c

c) m + 7.1

Why must trapezoids be congruent

Answers

The diagonals of a trapezoid are only congruent (have the same length) if the trapezoid is an isosceles trapezoid.

Try These.
2/3*(-7)8. ​

Answers

Answer:

-7/12

Step-by-step explanation:

2/3×-7/8

= -7/12

Answer:

-7/12

Step-by-step explanation:

2/3×(-7)/8

2×(-7) = -14

3×8 = 24

-14/24= -7/12

What major key has the same number of sharps and flats as the key of a minor. A. A major B. F major C. C major D. G major This is a music question, not a math questions

Answers

Answer:

C major

Step-by-step explanation:

major key has the same number of sharps and flats as the key of minor.

Help I am being timed
Complete the multiplication problems and order them from the least to greatest according to their products.
6.5
X 2.5
0.6
x 2.5
6.0
x 2.5

Answers

6.5x2.5=16.25
0.6x2.5=1.5
6.0x2.5=15

1.) 1.5
2.) 15
3.) 16.25

I hope that helped. Good luck!

Answer:

0.6×2.5

6.0×2.5

6.5×2.5

Step-by-step explanation:

This is in order from least to greatest

The width of a rectangle measures (2.5u+9.8)(2.5u+9.8) centimeters, and its length measures (1.5u+3.9)(1.5u+3.9) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?

Answers

Solution,

We have,

Width of rectangle, b = (2.5u+9.8) cm

Length of rectangle, l = (1.5u+3.9) cm

We need to find the expression for the perimeter of the rectangle. The formula for the perimeter of a rectangle is given by:

Perimeter = 2(l+b)

P = 2[(2.5u+9.8)+(1.5u+3.9)]

Collecting like terms

P = 2[(2.5u+1.5u)+(9.8+3.9)]

P=2(4u+13.7)

P = 8u+27.4

So, the expression for the perimeter of the rectangle is (8u+27.4) cm.

If r + t = 10 and -r + t = 4, What is the value of 5r + 8t?

Answers

Answer:

71

Step-by-step explanation:

Start solving using simultaneous equation,From there, we have r to be 3 and t to be 7

HELPPP HELPP!! WHAT IS THE VALUE OF X AND W???

Answers

Answer:

w = 42

x = 29

Step-by-step explanation:

We know that w + 138 must equal 180, so we get 42 for w. Then we know that 19 + x + 2 = 90, and w = 42. So if we add 42 + 19, and subtract that from 90, we get 29. Hope this helps!

Can someone help me ?

Answers

You can try to analyze it and try to figure out the situation given in problem to answer the question so understand the given problem

Answer:

1. B

2.B

3.C It could also be d because when you round it it would give you      

        8.7. Also no one leaves a section of their fence not painted. (8.6602540378443864676372317075294) UNROUNDED

Step-by-step explanation:

I have 5digits My name is worth 90,000 my two is worth 2 thousand one of my sevens is worth 70 the other is worth 10 times as much my other digit is a six what number am I

Answers

Answer:

92776

Step-by-step explanation:

From the given question,

The analysis of the given question can be computed as follows:

I have 5 digits

My name is worth                      90000

my two is worth                            2000

one of my seven is worth                 70

and the other is worth 10 times

as much i.e 10× 70 = 700                700

my other digit is six                               6

What number am I?

So, we are expected to look for the summation of all the numbers

i.e   90000 + 2000 + 70 + 700 + 6

= 92776

Thus, the number is 92776

Solve x2 + 6x + 7 = 0

Answers:

Answers

Answer:

x2 + 6x = 0 - 7

8x = 7

8x/8 = 7/8

x = 7/8

You have some money in your
pocket in the morning. You buy a book for $12 in the afternoon. When you get
home, you have $28. How much money did you have in the morning

Answers

Answer:$40

Step-by-step explanation:

x-12=28

+12. +12

X=40

8th grade math, please help asap

Answers

The answer is ✨Point A✨

Please solve both questions. I need it ASAP!!! 30 points! Will give brainliest!!!

Answers

Answer
Cone=9
Pyramid=3.5

Liam is setting up folding chairs for a meeting. if he arrange the chairs in seven rows of the same length he has five chairs left over. if you arrange the chairs in five rows of the same length he has 15 left over. how many chairs does Liam have?

Answers

Answer: 75

Step-by-step explanation:

This should help you

Please help I will give out brainliest

Answers

Answer:

see below

Step-by-step explanation:

The covers ( there are 2) are

2* .9 mm = 1.8 mm

Depending on how they are defining pages

If they are defining pages as the number of papers

400 pages at .13 =

400 *.13 = 52 mm

total = 2 covers + 400 pages

       = 1.8 + 52

       53.8 mm

If they are defining pages as the page numbers

Each page number is on the front and back so 400/2 = 200 pieces of paper

200 pages at .13 =

200 *.13 = 26 mm

total = 2 covers + 400 pages

       = 1.8 + 26

       27.8 mm

Answer:

52.8 mm thick

Step-by-step explanation:

0.9mm X 2mm90 = 1.8 mm

0.13mm X 400mm = 52 mm

1.8mm + 52mm = 53.8 mm

how can you make a sum of 12?​

Answers

Answer:

6+6+=12

Step-by-step explanation:

Answer:

BELOW

Step-by-step explanation:

Through six different ways ;

[tex]1+11=12\\2+10=12\\3+9=12\\4+8=12\\5+7=12\\6+6=12[/tex]

Which describes the pattern in the sequence shown?
3,7,15,31...
Multiply a term by 3 and subtract 2 to get to the next term
Add 4 to a term to get the next term
Each Term is the sum of the two preceding terms plus 5
O Multiply a term by 2 and add 1 to get the next term

Answers

Answer:

multiply a term by 2 and add 1 to get the next term

Step-by-step explanation:

3×2=6 +1 =7

7×2=14+1= 15

15×2=30+1=31

Answer:

  Multiply a term by 2 and add 1 to get the next term

Step-by-step explanation:

The first differences of terms are ...

  7 -3 = 4

  15 -7 = 8

  31 -15 = 16

We notice that these increase by a factor of 2. This signifies an exponential sequence. That factor (2) will be the value that each term is multiplied by to get the next. This eliminates the choices "add 4" and "multiply a term by 3 ...".

Trying the remaining two choices, we find that the one that fits is the one shown above.

  3+7 ≠ 15, so "the sum of the two preceding terms" doesn't work

  2(3) +1 = 7; 2(7) +1 = 15; 2(15) +1 = 31, so "multiply by 2 and add 1" works fine

what is the slope going through the points 7,9 and 14,9

Answers

Answer:

The slope is 0

Step-by-step explanation:

The equation is y = 9

As you cans ee thre isn't a slope.

Answer:

9-9/14-7=0/7= undefined

Step-by-step explanation:

you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points

of the 777 graduating seniors in a certain high school, approximately 1/3 are going to a trade school, and approximately 2/7 of those going to a trade school are going to an art or design institute. wich of the following is the closest estimate for the number of graduating seniors going to an art or design institute


a) 74
b)75
c)110
d)219
e)256​

Answers

Answer:

A. 74

Step-by-step explanation:

777/3 = 259

2/7 of 259 is 2/7 times 259 and that is 74

74 people are going to an art or design institute

Assignment
Examine the algebra tiles screen.
Which equation is being modeled?
0-4x + 3 = 2x + 1
IL
3x + (-4) = x + 2
0 - 4x + 3 = x + 1
O 3x + 4 = x + 2

Answers

Answer: 3x + (-4) = x + 2

Step-by-step explanation:

Hope it helps

Answer:

3x + (–4) = x + 2

Step-by-step explanation:

Anusha is walking on a hiking trail at a rate of Three-fourths miles in One-fourth hour. At this rate, how far will Anusha walk in an hour?

Answers

Answer:

Step-by-step explanation:

3/4 + 3/4 + 3/4 + 3/4 = 12/4 = 3. She will walk 3 miles in an hour.

The distance that Anusha covered in one hour is 3 miles

If Anusha is walking on a hiking trail at a rate of three-fourths miles in One-fourth hour, this is expressed as:

3/4 miles = 1/4 hours

We need to get the rate of Aisha that is the distance traveled in an hour

x = 1 hour

Divide both expressions

3/4x = 1/4

Cross multiply

4x = 3 * 4

4x = 12

x = 12/4

x = 3

Hence the distance that Anusha covered in one hour is 3 miles

Learn more here: https://brainly.com/question/23729577

Which shows all the like terms in the expression? 4 x minus 3 + 7 x + 1

Answers

7x & 4x is the like terms in the expression

Answer: option c

Step-by-step explanation:

if angle LMPis 11 degrees more than angle NMP and angle NML is 137 find each measure.

Answers

Answer:

angle NMP = 63°

angle LMP = 74°

Step-by-step explanation:

Let angle NMP be x° . It's given that angle LMP is 11° more than angle NMP. So, angle LMP = x° + 11°

But angle NML = 137°.

So,

angle NMP + angle LMP = 137°

=> x° + x° + 11° = 137°

=> 2x° + 11° = 137°

=> 2x° = 137° - 11°

= 126°

=> x° = 126/2 = 63°

angle NMP = 63°

angle LMP = 63 + 11 = 74°

nmp 63 lmp 74.........
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