The midpoint, M, of segment GH is M(4, -3). Endpoint G has the coordinates G(-2, 2). Calculate the coordinates of endpoint H. *

Answers

Answer 1

Answer:

The point M(Mx, My) is mid-point of GH with G(Gx, Gy) and H(Hx, Hy).

=> 2*Mx = Gx + Hx => 2*4 = -2 + Hx => Hx = 10

=> 2*My = Gy + Hy => 2*(-3) = 2 + Hy => Hy = -8

=> H(10, -8)

Hope this helps!

:)

Answer 2

The coordinate of the point H is (10, -8) if the midpoint, M, of segment GH is M(4, -3). Endpoint G has the coordinates G(-2, 2).

What is a segment bisector?

A segment bisector is a line, ray, line segment, or point that divides a line segment into two equal halves at its center.

It is given that:

The midpoint, M, of segment GH is M(4, -3). Endpoint G has the coordinates G(-2, 2).

Let (x, y) be the coordinates of endpoint H

H(x, y)

(x - 2)/2 = 4

x - 2 = 8

x = 8 + 2

x = 10

(y + 2)/2 = -3

y + 2 = -6

y = -8

Thus, the coordinate of the point H is (10, -8) if the midpoint, M, of segment GH is M(4, -3). Endpoint G has the coordinates G(-2, 2).

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Related Questions

If p ÷2 = 4 and 2 - q = 4, what is the value of 2p + q
a 12
b 14
c 18
d 22

Answers

Answer:

the answer is second one 14

Help!! Can someone put me out my misery

Answers

Answer: 0.14

Step-by-step explanation:

1) Find the total #of seniors. To do this add up 25+5+5 = 35.

2)Since we know the number of seniors that work just do 5/35. This simplifies to 0.14 rounded to the nearest hundreth.

The purple shape is a dilation of the black shape. What is the scale factor of the dilation?

Answers

Answer:

4

Step-by-step explanation:

Joanna purchased 5 bottles of water for $4.00. What is the cost of one bottle of water?

Answers

Answer:

0.80 cents

Step-by-step explanation:

5 bottles/ $4.00 = 1 bottle/ x

4 = 5x

0.8=x

Answer:

$0.80

Step-by-step explanation:

4.00 divided by 5

If A:B=6:7 and B:C=14:9, then what is A:C in its simplest form

Answers

Answer:

4/3

Step-by-step explanation:

Question :

[tex]\frac{A}{B} = \frac{6}{7}[/tex]

[tex]\frac{B}{C} = \frac{14}{9}[/tex]

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

try to make B same number with  2 fraction

[tex]\frac{A}{B} = \frac{6}{7} = \frac{12}{14}[/tex]

so => B = 14

A = 12

C = 9

[tex]\frac{A}{C} = \frac{12}{9} = \frac{4}{3}[/tex]

Hope this helps ^-^

If this trend continues, in which week will she give a 12-minute speech?

The week that Alyssa gives a 12-minute speech is week ____
What the answer
Help ASAP

Answers

Answer:

420

Step-by-step explanation:

if we add 30 to each of the length of speech, we get 420 seconds

For what values of θ is cosθ>−sinθ when π/2≤θ<3π/2

Answers

Answer:

θ>3π/4  

Step-by-step explanation:

Given the inequality cosθ>−sinθ, to get the value of [tex]\theta[/tex] that falls within the range π/2≤θ<3π/2, the following steps must be followed;

Step 1;

Divide both sides by cosθ;

cosθ/cosθ>−sinθ/cosθ

1>−sinθ/cosθ

1>-tanθ

Step 2;

Multiplying both sides by -1

-1<tanθ

tanθ>-1

θ>[tex]tan^{-1} -1[/tex]

θ>-45°

Since tan is negative in the second and 4th quadrant;

In the second quadrant θ>180-45

θ>135°

θ>3π/4

in the 4th quadrant, θ>360-45

θ>315°

θ>9π/4

The only value that falls within the range is at when θ>3π/4  

State the domain and range of the relation {(1,2)8,16, (2,4), (4,8), (8,16)}

Answers

Answer:

Domain: 1,2,4,8

Range: 2,4,8

Step-by-step explanation:

The Domain is always the "X"  or input. Range is always the "Y" or output. As you can see here, there are same numbers in the domain and range. You put that as one number. Therefore, the above numbers are the answer.

If f(x) =(2,9%), what is f(3)?
A. 1/729
B. 729
C. 1/81
D. 81

Answers

Answer:

CCC

Step-by-step explanation:

Answer:

81

Step-by-step explanation:

a p e x (just took the quiz)

The equation (x-1)^2 + (y+1)^2 = r^2 represents circle J. The point D (0,3) lies on the circle. What is r, the length of the radius of circle J?

Answers

Answer:

  C.  √17

Step-by-step explanation:

The radius can be found by solving the given equation at the given point.

__

  (x -1)^2 + (y+1)^2 = r^2 . . . . . . . given equation

  (0 -1)^2 + (3 +1)^2 = r^2 . . . . . . using (x, y) = (0, 3)

  1 +16 = r^2 . . . . . . . . . . . . simplify

  r = √17 . . . . . . . take the square root

This spinner will be spun twice.What is the probability of spinning an odd number both times?

Answers

The Probability of spinning an odd number both times is [tex]\dfrac{1}{2}[/tex].

The formula of Probability

Probability is calculated by the ratio of favourable outcomes and the total number of outcomes.

How to find the probability?

The total number of outcomes of spinning numbers will be 4 that is 1,2,3,4.

And in which the odd numbers are 1,3.

Therefore the favourable outcome of spinning an odd number both the times will be 2.

Then, the probability will be

[tex]P=\dfrac{2}{4} \\P=\dfrac{1}{2}[/tex]

So, the probability of spinning an odd number both times will be [tex]\dfrac{1}{2}[/tex].

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Fuel x costs $2 per gallon and fuel y costs $3 per gallon. You have at most $18 to spend on fuel. Write a system of linear inequalities to represent this situation.

Answers

The answer is :

x + y ≤ 14

2x + 3y ≤ 18

The inequality for the given statement will be equal to x +y ≤ 18 or,

2x + 3y ≤ 18.

What is inequality?

Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare the two values. Less than (or less than and equal to), larger than (or greater or equal to), or not similar to signs are used in place of the equal sign in between.

As per the given information in the question,

The price of fuel x = $2/gallon

The price of fuel y = $3/gallon

Total money to spend on fuel = $18

Then, the inequality in this situation will be,

x +y ≤ 18 or,

2x + 3y ≤ 18.

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need help asap need to get this done​

Answers

Answer:

3:4

Step-by-step explanation:

8/6=4/3

12/9=4/3

16/12=4/3

Last Wednesday, students could choose ham or turkey sandwiches for lunch. The cafeteria made 50 sandwiches in all, 5 of which were turkey. What percentage of the sandwiches were turkey sandwiches?

Answers

Answer:

90%

Step-by-step explanation:

50%×2 100%

5%×2 10%

45%×2 90%

The recommended density of a rectangular aquarium is 7 fish per cubic foot of water. If the owner of the aquarium follows the recommended density guidlines and has 42 fish, what is the height of the aquaruim with a length of 3 feet and a width of 1 foot?

Answers

Answer: 2 feets

Step-by-step explanation:

Recommended density = 7 fish/ ft^3

If recommended density guideline is followed:

Number of fishes in aquarium = 42

Length of aquarium = 3ft

Width = 1ft

Height =?

Volume of aquarium = Length × width × height

Volume = 3 × 1 × h = (3ft^2 × h)

Therefore ;

If

1ft^3 = 7 fishes

x ft^3 = 42 fishes

Cross multiply

7(x)ft^3 = 42 fishes

x ft^3 = (42÷7)

x ft^3 = 6

Therefore volume of the aquarium with 42 fishes is 6ft^3

Volume = (3ft^2 × h)

6ft^3 = 3ft^2 × h

h = (6ft^3) / (3ft^2)

h = 2ft

A recent study examined the association between high blood pressure and increased risk of death from cardiovascular disease. There were 2676 men with low blood pressure and 3338 men with high blood pressure. In the low-blood-pressure group, 21 men died from cardiovascular disease; in the high-blood-pressure group, 55 died.

Compute the 95% confidence interval for the difference in Proportions.

Do the study data confirm that death rates are higher among men with high blood pressure?

State hypotheses, carry out a significance test, and give your conclusions.

Answers

Answer:

hyolpotheses people death ate 90 and the significance is their on their hand pls mark me as the brainliset hope it helps you

An observer stationed 20 m away from a tall
of elevation of the top of the building is 68° and the angle of depression of
its foot is 50 degrees. Calculate the height of the building.

Answers

Answer:

Step-by-step explanation:I don't say you must have to mark my ans as brainliest but my friend if it has really helped you plz don't forget to thank me...

Alazgggggg akstafarrrallaa ?

Simon is building a ramp in the shape of a triangular prism. He plans to paint each face of the ramp. What is the total surface
area of the ramp?
5 ft
00
ft
3 ft
68 square feet
96 square feet
108 square feet
114 square feet

Answers

Answer:

Option (3)

Step-by-step explanation:

The ramp shown in the figure is in the shape of a triangular prism.

Therefore, total surface area of this ramp = Area of the triangular sides + Area of the base + Area of the vertical side + Area of the slanting side

Area of the triangular sides = [tex]2[\frac{1}{2}(Base)\times (h)][/tex]

                                              = bh

                                              = 4×3

                                              = 12 square feet

Area of the rectangular base = Length × Width

                                                = 4 × 8

                                                = 32 square feet

Area of the vertical side = Length × Width

                                        = 3 × 8

                                        = 24 square feet

Area of the slanting side = Length × width

                                         = 8×5

                                         = 40 square feet

Total surface area = 12 + 32 + 24 + 40

                              = 108 square feet

Option (3) will be the answer.

Answer:

C (108)  

Im on the test right now  ~edge~

Mama Mia restaurant used \dfrac12 2 1 ​ start fraction, 1, divided by, 2, end fraction of their mozzarella cheese making pizza and the remaining 646464 ounces making pasta. How many pounds of mozzarella cheese did Mama Mia start with?

Answers

Answer:

8 pounds

Step-by-step explanation:

CORRECT: the remaining 64 ounces making pasta.

Assuming 'x' be the total ounces of mozzarella

we know that

making pizza :  (1/2)*x => x/2

therefore, making pasta: [x-x/2] => (2x-x)/2 =>  x/2

making pizza=making pasta=x/2

Thus, (x/2)=64

x=(64)(2)

x=128 ounces

Note that 1 ounces=0.0625 pounds

then,  128 ounces*0.0625=8 pounds

Thus, Mama Mia started with 8 pounds of mozzarella cheese

The points plotted below are on the graph of a polynomial. Which of the following x-values is the best approximation of a root of the polynomial? Check all that apply.

A) x =-3
B) x=0.8
C) x=-1.1
D) x=2.6
E) x=3.6
F) x=-2.1

Answers

Im looking for the same answer did you get it?

Answer:

2.6 ,-1,1

Step-by-step explanation:

Solve :

y=3.58•x+ 202.6
&
y=2.3•x+160.7

Answers

Answer:

[tex]x=-32.73\,,\,y=85.43[/tex]

Step-by-step explanation:

Given: [tex]y=3.58x+202.6\,,\,y=2.3x+160.7[/tex]

To find: value of x and y

Solution:

[tex]y=3.58x+202.6\,\,(i)\\y=2.3x+160.7\,\,(ii)[/tex]

From equation (i) and (ii),

[tex]3.58x+202.6=2.3x+160.7\\3.58x-2.3x=160.7-202.6\\1.28x=-41.9\\x=\frac{-41.9}{1.28}=-32.73[/tex]

Put [tex]x=-32.73[/tex] in (i)

[tex]y=3.58(-32.73)+202.6\\=-117.17+202.6\\=85.43[/tex]

Factor the expression below.
x² - 64
A. (x + 16)(x - 4)
B. (x-8)(x-8)
C. (x+3)(x-8)
D. (x - 16)(x - 4)


help

Answers

Answer:

( x + 8 )( x - 8 ); None of the above

Step-by-step explanation:

Apply quadratic formula a^2 - b^2 = ( a + b )( a - b );

x^2 - 64 ⇒

x^2 - 8^2 ⇒

Answer: ( x + 8 )( x - 8 ); None of the above

PLEASE! I WILL MARK YOU BRAINIEST!!!!
In ΔTUV, the measure of ∠V=90°, VT = 45 feet, and TU = 90 feet. Find the measure of ∠T to the nearest degree.

Answers

The answer is T is 50 degrees

Answer:

Step-by-step explanation:

60

Find the area of the triangle below.
Be sure to include the correct unit in your answer.
65 yd
13 yd
18 yd

Answers

Answer:

The area is  

[tex]72yd^{2}[/tex]

(square yards)

Step-by-step explanation:

Explanation:

In the given triangle a base  24 y d  and the corresponding height  6 y d

is given, so to calculate the area we can use:

A = 1 2× b × h

If we substitute thegiven numbers we get:

A = 1 2 × 24 × 6 = 12 × 6= 72

The units of base and height are the same (yards), so the calculated area is in  y d 2  (square yards)

Answer: The area of the given triangle is  72 square yards.

Please help! Correct answer only!

I've been on this question for more than an hour...

You pick a card at random. Without putting the first card back, you pick a second card at random.

What is the probability of picking a 3 and then picking a 3?

Simplify your answer and write it as a fraction or whole number.

Answers

Answer:

1/16

Step-by-step explanation:

3 is one of the 4 available choices.

Then, if you pick it again, you get 1/4.

1/4* 1/4= 1/16

Answer:

1/16

Step-by-step explanation:

you have 1/4 chance to get 3 in your case if you pick it two times you gotta multiply the chances 1/4*1/4=1/16

You and two friends are thinking of getting pizza for dinner. The three of you noticed on the website that they have a special of two medium pizzas, with a 14 inch diameter, or one extra-large pizza, with a 20 inch diameter.

Which promotion gives you more pizza? Response area

How much more area will you receive from the promotion you picked? Round your answer to the nearest tenth. Response area

Answers

Answer:

The 20 inch pizza gives more area of pizza by 2π or about 6.28 in² more pizza.

Step-by-step explanation:

πr² is the formula for the area of a circle

Radius of the 14-inch: 7

Radius of the 20-inch: 10

7²π=

49π

49π+49π=

98π

10²π=

100π

The 20 inch pizza gives more area of pizza by 2π or about 6.28 in² more pizza.

A map shows the road between the cities of Saxon and Melbeck. If the distance on the map between the two cities is 7 inches, what is the real distance? The scale is 2 inch:5 miles.

Answers

Answer:

17.5

Step-by-step explanation:

2:5

7 divided by 2 is 3.5

The difference is 3.5, now times each side by 3.5

7 inches:17.5 miles

Pretty tricky, first correct answer will get brainliest シ︎❤︎✰​

Answers

。☆✼★ ━━━━━━━━━━━━━━  ☾  

a) The angles should sum to 90 degrees as it is a right angle

Thus x = 90 - 24 - 24

x = 42

b)

(i) It would be j as corresponding angles are equal

(ii) p + q + r = 225

Have A Nice Day ❤    

Stay Brainly! ヅ    

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A helicopter flying 3,590 feet above the ground spots the top of a 150-foot tall tower. The angle of depression from the helicopter to the top of the building is 83 degrees. How far must the helicopter fly to be directly over the tower?

Answers

Answer:

[tex]x\approx 422.4[/tex]

Step-by-step explanation:

Assuming 'x'  the distance helicopter needs to fly to be directly over the tower.

It is given that a helicopter flying 3590 feet above ground spots the top of a 150-foot tall cell phone tower at an angle of depression of 83°.

From attachment that helicopter, tower and angle of depression forms a right triangle.

As height of tower is 150 feet, so the vertical distance between helicopter and tower will be: 3590-150=3440 feet.

Also, the side with length 3590-150 feet is opposite and side x is adjacent side to 83° angle.

As the tangent relates the opposite side of a right triangle to its adjacent  side, so we will use tangent to find the length of x.

[tex]\text{Tan}=\frac{\text{Opposite}}{\text{Adjacent}}[/tex]

[tex]\text{Tan}(83^o)=\frac{3590-150}{x}\\[/tex]

[tex]\text{Tan}(83^o)=\frac{3440}{x}[/tex]

[tex]x=\frac{3440}{\text{Tan}(83^o)}[/tex]=>[tex]x=\frac{3440}{8.14434}[/tex]

[tex]x\approx 422.4[/tex]

Thus, the helicopter must fly approximately 422.4 feet to be directly over the tower.  

a sector with a central angle measure of 175 degrees has a radius of 12 cm, what is the area of the sector

Answers

Answer:

70pi

Step-by-step explanation:

Answer: 70π cm²

Step-by-step explanation: Khan Academy

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