18
AB has endpoint A(-2,3) and midpoint M(4,6).
Find the coordinates (x, y) of B.

Answers

Answer 1

Answer:

B = (10, 9 )

Step-by-step explanation:

Using the midpoint formula

M = ( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

with (x₁, y₁ ) = A(- 2, 3) and (x₂, y₂ ) = B(x, y) , then equate to the x and y coordinates of the midpoint M(4, 6)

[tex]\frac{-2+x}{2}[/tex] = 4 ( multiply both sides by 2 )

- 2 + x = 8 ( add 2 to both sides )

x = 10

and

[tex]\frac{3+y}{2}[/tex] = 6 ( multiply both sides by 2 )

3 + y = 12 ( subtract 3 from both sides )

y = 9

Then B = (10, 9 )


Related Questions

The diameter of a hula hoop is 36 inches. Find the area enclosed by the hoop in sq. inches.

Answers

2.25 sq inches is what you should get.

Patriciodeposits $500 in the same account that pays a 1.5% simple interest he does not withdraw any money from the account any makes no other deposits how much money does Patricio happiness saving account after 5 years​

Answers

Answer: $537.5

Step-by-step explanation:

$500 at 1.5% for 5 years

p x  r x t = i

500 x 0.015 x 5= 37.5

37.5+500=537.5

Explain why each statement is true. 5 + 2 + 3 = 5 + (2 + 3)

Answers

Answer:

Associative property of addition. Grouping different addends does not change the sum.

Step-by-step explanation:

5 + 2 + 3 = 5 + (2 + 3)

10 = 5 + (5)

10 = 10

Determine the value of the expression: 5^4 × 5^8/5^6 Write your answer in exponential notation (in exponent form).

Answers

Answer:

5⁶

Step-by-step explanation:

We have

[tex]5^4*\frac{5^8}{5^6}\\\frac{x^n}{x^y}=x^{n-y}\\\frac{5^8}{5^6}=5^{8-6}=5^2\\x^n*x^y=x^{n+y}\\5^4*5^2=5^6[/tex]

Which of these is a simplified form of the equation 13z + 2 = 8 + 2z + 1z? (4 points)

a
10z = 6

b
10z = 10

c
4z = 6

d
4z = 10

Answers

Answer:

a part

Step-by-step explanation:

Answer is attached....

Hope it helps:)

Describe exponential growth in word problem and with graph

Please help me

Answers

Answer:

y = a 2 d x + k y=a2^{dx}+k y=a2dx+k

Step-by-step explanation:

Determine the exponential function in the form y = a 2 d x + k y=a2^{dx}+k y=a2dx+k of the given graph. To solve this problem, we're going to need to find the variables "a", "d", and "k". Remember, we can find "k" from the graph, as it is the horizontal asymptote.

how do you solve this?

Answers

Answer:

x=110(by vertical opposite angle)

Consider right triangle AJKL below.
K
L
60
5.2
3
J
Which expressions represent the length of side KL?

Answers

i think the answer is c. sorry if incorrect

Solve for x if: y = -6 and -10x + 7y = 18

A) 8
B)-18
C)-6
D)9

Answers

Answer:

Step-by-step explanation:

-10x+7(-6)=18

-10x-42=18

      +42 +42

___________

-10x/-10=60/-10

x= -6

(PLEASE HELP)
Find the area of the triangle.

Answers

Answer:

3.15km²

Step-by-step explanation:

A = bh/2

which expression is equivalent to 189 1/5 -(-22 2/5)-(-40 1/5),

Answers

Answer:

[tex]251 \frac{4}{5}[/tex] or [tex]\frac{1259}{5}[/tex]

help!! pls i mark brainly answer

Answers

Answer:

On the left... True

On the right... False

Step-by-step explanation:

what is the volume to the nearest tenth
A)34.4yds^2
B)34.38yds^3
C)34.4yds^3
D)34.38yds^2

Answers

Answer:

A

Step-by-step explanation:

Find the area of the shape shown below.

Answers

That shape is a Pentagon

Answer:

To find the area break up the shapes:

The rectangle is A = bh which is 7*3 which is 21.

Triangle: A = 1/2(bh)

A=1/2(3*7)

A=1/2(21)

A=10.5

Now add up the areas:

21+10.5

=

31.5

The answer is 31.5 units.

A snowcone with a radius of 4 cm is sold in a cone-shaped paper cup with a height of 12 cm and an opening 6 cm wide. If all the ice melted in the cup, would it overow?

Answers

Answer: No because when you do the volume of the cone is r=3cm h=12cm and the sphere is r=4cm

If the ice melt in the cone shaped cup, it won't overow because the volume of the cone shaped cup is greater than the volume of the snowcone ice.

The snowcone is a sphere.

Volume of a sphere

volume = 4 / 3πr³

where

r = radius

Therefore,

volume of the snowcone = 4 / 3 × π × 4³

volume of the snowcone = 256 π/ 3 = 85.33π

Therefore, the volume of the cone canbe found as follows:

volume of the cone shaped paper = 1 / 3 πr²h

h = 12 cm

r = 6cm

volume of the cone shaped paper = 1 / 3 × π × 6² × 12

volume of the cone shaped paper = 144π

Therefore, let find if the ice melt in the cone whether it will overow.

144π - 85.33π = 58.67π

Therefore, the volume of the cone shaped paper is greater than the volume of the snowcone ice . This means that if the ice melt in the cup , it won't overow.

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If 4c + 10= 20 -16c, what is 8c?

Answers

If that = that . That mean 8c is 3c

Rayyan shares Rs 2000 between his two friends Anas and Ahsan. The ratio of Anas’s share to Ahsan’s share is 6:4
How much money do they each receive?

Answers

Answer:

Anas= RS 1200

Ahsan= RS 800

Step-by-step explanation:

Given data

Amount=  Rs 2000

Ration=  6:4

Combined ratio = 6+4= 10

Let us apply the part to all method to solve for the individual amount

For Anas

2000/10= x/6

cross multiply

10x= 2000*6

10x=  12000

x= 12000/10

x= 1200

For Ahsan

2000/10= x/4

cross multiply

10x= 2000*4

10x=  8000

x= 8000/10

x= 800



The cost of a holiday is £2400

Rana pays a deposit followed by monthly payments, in the ratio

deposit : total of the monthly payments = 3:5


She makes 6 equal monthly payments. Work out her monthly payment

Answers

She makes 6 equal monthly payments. Then the monthly payment will be £666.67.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The cost of a holiday is £2400. Rana pays a deposit followed by monthly payments, in the ratio deposit: a total of the monthly payments = 3:5.

Then the total of the monthly payment will be given as,

£2400 / Total of the monthly payments = 3:5

Total of the monthly payments = (5/3) x £2400

Total of the monthly payments = £4,000

She makes 6 equal monthly payments. Then the monthly payment will be given as,

Monthly payment = £4,000 / 6

Monthly payment = £666.67

She makes 6 equal monthly payments. Then the monthly payment will be £666.67.

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PLS HELPP!! thank you

Answers

Answer:

$20.71/[tex]ft^{2}[/tex]

Step-by-step explanation:

290 ÷ 14 = 20.71 (rounded)

write the equation, please.

Answers

Answer:

x^2+y^2 = 49

Step-by-step explanation:

This is a circle.

The generic equation of a circle is

(x-h)^2+ (y-k)^2 = r^2

where (h,k) is the center and r is the radius

The center of the circle is at the origin which is (0,0)

The radius is 7

(x-0)^2+(y-0)^2 = 7^2

x^2+y^2 = 49

Answer:

[tex] \displaystyle {x}^{2} + {y}^{2} = 49[/tex]

Step-by-step explanation:

we are given a circle

we want to figure out the equation of the circle

remember that,

[tex] \rm \displaystyle E _{c} : (x - {h)}^{2} + (y - k {)}^{2} = {r}^{2} [/tex]

(h,k) are the centre of the circle

we can clearly see that the centre of the circle is (0,0) and the redious is 7 units

thus substitute:

[tex] \displaystyle (x - {0)}^{2} + (y - 0{)}^{2} = {7}^{2} [/tex]

further simplification is needed:

[tex] \displaystyle {x}^{2} + {y}^{2} = 49[/tex]

and we are done!

Given that a 12 foot long piece of steel pipe weighs 5 pounds per foot, how much does it weigh in kilograms per meter?

1 pound - 0.454 kilograms.

1 foot - 0.305 meters.

A: 6.34 kg/m

B: 6.84 kg/m

C: 7.44 kg/m

D: 7.94 kg/m

Answers

Answer:

b

Step-by-step explanation:

if you add it all together that's the answer hope this helps!

In the figure,Line x is parallel to line y. identify the angles congruent to angle 3

Answers

Answer:

For example, slide ∠ 1 down the transversal and it will coincide with ∠2. are equal in measure. If two parallel lines are cut by a transversal, the corresponding angles are congruent. If two lines are cut by a transversal and the corresponding angles are congruent, the lines are parallel.

Step-by-step explanation:

You were given 10 math problems for homework. You completed 6/10 of them at school. Which equation shows how to find the fraction of the problems you still need to do to complete your homework?

Answers

Answer:

Step-by-step explanation:

1 10

The equation would be 1/20

the principal likes to keep the ratio of students to teachers at 24:1 if he has hired 32 teachers then how many students are expected to enroll

Answers

Answer:

768 students are expected to enroll

Step-by-step explanation:

24 : 1

? : 32

24 times 32 = 768

need help with this will give more points if you want

Answers

The rectangle on the left is smaller then the right one. I know this because the dimensions of each side are less than then the triangle on the right.

HELP ME ASAPPPPPPPPPPPPPPP

Answers

Answer:

a because i said so trust me

Step-by-step explanation:

Answer:

The number of students that the club needs is at least 8

Step-by-step explanation:

The club would at least need 8 people.Add 15 and 8 together and you get 23.More people would be better but all the club really needs is 8.

A van travelled at an average speed of 65 km/hr from town a. 35 minutes later, a car started from town A and drove along the same route as the van. if the car caught up with the van after travelling a distance of 130 km, find the average speed of the car in km/hr

Answers

The average speed of the car for the given distance is 91.97 km/hr.

What is speed and velocity?

While both speed and velocity are indicators of how quickly an object is travelling, they serve different purposes. The distance travelled in a given amount of time, independent of direction, is referred to as speed, which is the magnitude of the velocity vector. In contrast, velocity is a vector quantity that accounts for both speed and direction. It is measured in units of distance per unit of time in a particular direction and is defined as the rate of change of position of an item with regard to a frame of reference.

Given that, a car started 35 minutes later that is it started after:

35 minutes = 35/60 = 0.5833 hours

Now the distance is given as:

distance = speed x time

Now, for speed = 65 km/hr:

distance = 65t

For the car the time is (t - 0.5833) thus:

distance = speed x time

130 = speed x (t - 0.5833)

Now for speed we have:

30 = s x (t - 0.5833)

130 = st - 0.5833s

130 + 0.5833s = st

130/s + 0.5833 = t

Now, substituting the value of t in the equation of the van we have:

distance = 65t

distance = 65(130/s + 0.5833)

130/s + 0.5833 = distance/65

130/s + 0.5833 = distance/65

130/s + 0.5833 = 130/65

130/s + 0.5833 = 2

s = 91.97km/hr

Hence, the average speed of the car for the given distance is 91.97 km/hr.

Learn more about speed here:

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Students recorded the amount of liquid in fluid Ounces each of them drank In one day. The box plot shows the summary of the results. Amount of Liquid (fluid Ounces) Which statement best describes the data represented in the box plot?​

Answers

Answer: The correct answer would be F. Half the students drank from 78 to 114 fluid ounces.

Step-by-step explanation:

The statement best describes the data represented in the box plot half the students drank from 78 to 114 fluid ounces. The correct option is F.

What is a box plot?

A rectangle is created to represent the second and third quartiles, normally with a vertical line inside to indicate the median value, in a simple way of presenting statistical data on a plot.

Given that students recorded the amount of liquid in fluid Ounces each of them drank In one day. The box plot shows the summary of the results. Amount of Liquid (fluid Ounces).

The highest and the lowest limit of the box plot is range from 78 to 114. The statement best describes the data represented in the box plot half the students drank from 78 to 114 fluid ounces.

Therefore, the correct option for the box plot will be F.

To know more about the Box plot follow

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PLEASE HELP i’m not sure!!!!!!!!!!!!

Answers

Answer: C

Explanation: They are the same exact shapes, the one on the right is slightly rotated and scaled smaller but other than that they are the most similar

Answer:

A

Step-by-step explanation:

B is wrong because the big one has two curve

C is wrong because the smallest one is not in the same position

D is wrong because the middle line of the biggest one is than the middle line of the smallest one

Please help ~ +10 Points ~ 1 Question ~ Math ~ Multiple choice
What is an equivalent equation for each given equation? Which one matches after you do your first step?
6x+10=23

Possible Answers:
A. 6x=13
B. 6x = 33
C. 23 = 10 -6x
D. -23 =-6x+10

Answers

I believe it would be A
Answer is:
A. 6x = 13

Explanation:
The next step after 6x+10=23 is to subtract 10 on both sides so you’ll be only left with your coefficient and variable which is 6x on one side and your constant on the other side.

6x + 10 = 23
6x + 10 - 10 = 23 - 10
6x = 23-10
6x = 13

Hope this helped :3
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