If M (4.2) is the midpoint of AB and A (-5, -3), find the coordinates of B.

Answers

Answer 1

Given:

M(4,2) is the midpoint of AB and A(-5, -3).

To find:

The coordinates of B.

Solution:

Let the coordinates of point B are (a,b).

Midpoint formula:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

M(4,2) is the midpoint of AB and A(-5, -3).

[tex]M=\left(\dfrac{-5+a}{2},\dfrac{-3+b}{2}\right)[/tex]

[tex](4,2)=\left(\dfrac{-5+a}{2},\dfrac{-3+b}{2}\right)[/tex]

On comparing both sides, we get

[tex]4=\dfrac{-5+a}{2}[/tex]

[tex]8=-5+a[/tex]

[tex]8+5=a[/tex]

[tex]13=a[/tex]

And,

[tex]2=\dfrac{-3+b}{2}[/tex]

[tex]4=-3+b[/tex]

[tex]4+3=b[/tex]

[tex]7=b[/tex]

Therefore, the coordinates of point B are (13,7).


Related Questions

someone help me pls 10 points

Answers

Answer:

x=-5

Step-by-step explanation:

b+1/3=2 Plz I need it, I will give you brainiest

Answers

Answer:

[tex]1\frac{2}{3} [/tex]

Answer:

b = 5/3

Step-by-step explanation:

Ok so,

b + 1/3 = 2

b + 1/3 - 1/3 = 2 - 1/3

now you have to find the common denominator which in this case is 3. so you multiply 2 with 3 giving you six so it should look like this

b = 2/3 - 1/3

b = 1/3

i already checked...its right

i hope this helps. have a good day!

41,692.58

Which number is in the tenths place?
A. 2
B. 5
C. 8
D. 9

Answers

5 hope that helped :)

Answer:

5 is in the tenths place

Step-by-step explanation:

2 is in the ones place, 8 is in the hundredths place, and 9 is in the tens place.

The sales tax in one state is 5%. Write a function rule for finding the total cost of an item with selling price x. Then find the total cost of a CD player with a selling price of $110.


f(x) = 5 + x; $111.05

f(x) = 1.05x; $115.50

f(x) = x – 5; $108.95

f(x) = 0.05x; $5.50

Answers

Answer:

The sales tax in one state is 5%. Write a function rule for finding the total cost of an item with selling price x. Then find the total cost of a CD player with a selling price of $110.

A. f(x) = 5 + x; $111.05

B. f(x) = 0.05x; $5.50

C. f(x) = x � 5; $108.95

D. f(x) =1.05x; $115.50  

total cost = (price) + (5% of price)

f(x) = x + 0.05x

f(x) = 1.05x

So the function is f(x) = 1.05x

Plug in x = 110 to get

f(x) = 1.05x

f(110) = 1.05*110

f(110) = 115.50

The item costs $115.50 (after tax is added on)

Step-by-step explanation:

1:    the total cost of a CD player would be 104.76

2:    Total Cost = (price) + (5% of price)

f(x) = x + 0.05x

f(x) = 1.05x

So the function is f(x) = 1.05x

Plug in x = 110 into the function

f(110) = 1.05*110

f(110) = 115.50

The item costs $115.50

3:    Answer:

f(x) = .05x; $5.50

Step-by-step explanation:

f(x) = .05x

f(110) = .05(110) = $5.50

Rewrite as a log: y=7^x

Answers

Maybe would help mathwath

Answer:

log7(y)=x

Step-by-step explanation:


[tex]18 \div 36[/tex]

Answers

Answer:

0.5

Step-by-step explanation:

Two fuel tanks with the dimensions shown have the same volume. What is the value of ?

Answers

Answer:

The height is 2ft

Step-by-step explanation:

please help me find the slope and y intercept! i’m the worst at math, i’d really appreciate it <333 (click on photo)

Answers

5) the slope is -2, y-intercept is 1. 6) slope is 1, y-intercept is 1. 7) slope is -5, y-intercept is 8. That’s all I could find :( sorry. Hope that helped. I’m also not that good at math

Answer:

3.)   y-int = 0

4.)   y-int = -1

5.)   slope = 2

      y-int = 4

6.)   slope = -1

      y-int = -6

7.)   slope = 5

      y-int = 8

8.)   slope = 7

      y-int = 1/2

Step-by-step explanation:

basically, you want to get each of your functions in terms of (y = mx + b)

for each of these:

m will be your slope

b will be your y-intercept

8th grade math. Solve and check. 2x + 3x + 5 = 4(x - 2)

Answers

2x + 3x + 5 = 4(x-2)

5x + 5 = 4x - 8

5x-4x = -8 -5

x = -13

Answer:

x=−13

Step-by-step explanation:

Combine the like terms:

2+3+5=4(−2)5+5=4(−2)

Distribute:

5+5=4(−2)

5+5=4−8

Subtract 5 from both sides

5+5=4-85+5−5=4−8−5

Then simplify:

x=−13

Answer:

x=−13

A tree casts a shadow that is 9 feet long. The distance from the top of the tree to the end of the shadow is 15 feet. What is the height of the tree?​

Answers

Answer:

15 feet tall hi hi hi hi hi hi

Answer:

10

Step-by-step explanation:

Order the values of the differences from least to greatest. First, write the fractions as decimals. StartFraction 4 Over 5 EndFraction is and Negative 1 and one-half is . Next, plot the numbers on the number line. The greatest number is . Using the students' names, the correct order is .

Answers

Complete Question:

Ms. Perez's biology class grew sunflowers to learn about plants. During the first week, the average sunflower grew 3 inches. The table shows the difference from the average for three students.

Order the values of the differences from least to greatest.

Student: Raj. Difference (in.): 4/5

Student: Clara. Difference (in.): -1 1/2

Student: Jacob. Difference (in.): 0.9

Answer:

[tex]-1.5[/tex], [tex]0.8[/tex] and [tex]0.9[/tex]

The greatest is: 0.9

By student names: Clara, Raj and Jacob

Step-by-step explanation:

See comment for complete question

Given

Differences:

[tex]\frac{4}{5}[/tex], [tex]-1\frac{1}{2}[/tex], [tex]0.9[/tex]

Required

Order from least to greatest

We have: [tex]\frac{4}{5}[/tex], [tex]-1\frac{1}{2}[/tex], [tex]0.9[/tex]

First convert fractions to decimal

[tex]\frac{4}{5} = 0.8[/tex]

[tex]-1\frac{1}{2}= -1.5[/tex]

[tex]-\frac{3}{4} = -0.75[/tex]

So, the differences become:

[tex]0.8[/tex], [tex]-1.5[/tex], [tex]0.9[/tex]

Now arrange from least to greatest

[tex]-1.5[/tex], [tex]0.8[/tex] and [tex]0.9[/tex]

From the above representation,

The greatest is: 0.9

By student names, we have:

Clara, Raj and Jacob

This is done by simply replacing the numbers with the student name.

See attachment for number line

Answer:

4/5 is 0.8 , -1 1/2 is -1.5 , The greatest number is 1.3 , mia, raj, clara, jacob

Step-by-step explanation:

A cuboid with a square base of side length 6 cm and height 10 cm then its volume equal what in Sixth grade of primary school

Answers

Answer:

360

Step-by-step explanation:

Volume of cube is s^3

Volume of a rectangular prism is BH, OR LWH

Since the base is a SQUARE, and it has a side length of 6 cm, the other side length is also 6 cm. 6 x 6 x 10 = 360 cm cubed.

Lewis scored 0.15 of the points in a basketball game. How many of the team's 120 points did Lewis score

Answers

18 i guess??

it looks like we're just doing 120x0.15

Find the length of AD if AB = 24, DE = 8, and DC = 12.
a.8
b.12
c.14
d.10

HELP PLS

Answers

Answer:

AD = 12

Step-by-step explanation:

Find the diagram attached

From the given diagram, it can be inferred that;

AB = AD+DB and AD = DB

AB = AD + AD

AB = 2AD

AD = AB/2

Given that AB = 24

AD = 24/2

AD = 12

Hence the length of AD is 12

Answer: 10

Step-by-step explanation:

I got it right after trying the answer of 12 on CAOLA

does this make sense more food less active less weight

Answers

Answer:

no

Step-by-step explanation:

because more food less active

so if you eat more food, and you are less active you don't exercise off the weight

So you would gain weight not lose weight

how do I solve this ​

Answers

Answer:

113

Step-by-step explanation:

DQ= 180-112= 68

and sum of ang in quad add to 360 so

lets call what we have to find x

so x+ 68+56+123= 360

x+247=360

x= 113

The length of an alligator in a zoo is 14 5/6 feet. The Everglades National Park lists the longest alligator ever recorded in Florida at 17 5/12 feet. Which is the difference in their lengths? a 2 3/4 feet b 2 7/12 feet c 3 5/8 feet d 3 5/6 feet

Answers

9514 1404 393

Answer:

  b)  2 7/12 ft

Step-by-step explanation:

The difference is ...

  (17 5/12 ft) - (14 5/6 ft) = (17 -14) ft + (5/12 -5/6) ft

  = 3 ft + (5/12 -10/12) ft = 3 ft - 5/12 ft

  = 2 7/12 ft

Are 0.34 and 3/4 equivalent? Please explain your answer In complete sentences.

Answers

no

when 3 divided by 4 is converted into a decimal, it is 0.75 which does not equal 0.34

0.34 can also be written as 34/100
and 3/4 can be written as 75/100

therefore 0.34 and 3/4 are not equivalent

is it possible to have triangle with 3 cm 6 cm and 7 cm sides if yes then​

Answers

Answer:

No

Step-by-step explanation:

Step-by-step explanation:

Yes it is possible to have a triangle with 3 cm, 6 cm and 7 cm sides because in order to form a triangle the length of two sides of a triangle should exceed the third side as shown below :

3 + 6 > 7

9 > 7( True) ✔

6 + 7 > 3

13 > 3 ( True) ✔

7 + 3 > 6

10 > 6 ( True) ✔

Hope it will help :)

Need help ASAP I’m on an exam there is a timer

Thankss + BRAINLIST only for correct answer
(question in the picture )

Answers

Answer:

it should be D

Step-by-step explanation:

Because shes going back home.

The street signs in a subdivision are in the shape of
circles. Each street sign has an area of 452.16 square
inches. What is the approximate circumference of each
sign? Use 3.14 for .
F 38
G 72
H 75
J 144

Answers

72 I think it is I believe

What is the meaning of data in mathematics?

Answers

Answer:

Data can be defined as a collection of facts or information from which conclusions may be drawn. Example of Data      EXAMPLE :The data shown below are Mark's scores on five Math tests conducted in 10 weeks.

Step-by-step explanation:

Find the x-intercept and and y-intercept algebraically

y = log2 (x + 1) - 3

need work

Answers

Answer:

x intercept is 7 y intercept is -3

Step-by-step explanation:

Write equation out and have y=0

[tex] log_{2}(x - 1) - 3 = 0[/tex]

Add 3 to both sides

[tex] log_{2}(x - 1) = 3[/tex]

Using the log to exponet rule

[tex] (log_{b}(x) = y ) \: equal \: b {}^{y} = x[/tex]

Where b and x are real numbers and b cannot equal 1.

Reorder the equation as a exponet

[tex] log_{2}((x + 1) = 3[/tex]

[tex] {2}^{3} = x + 1[/tex]

Simplify

[tex]8 = x + 1[/tex]

Subtract 1 from both sides

[tex]x = 7[/tex]

So the x intercept is 7

To find y intercept plug 0 in as x

[tex] log_{2}(0 + 1) - 3 = y[/tex]

[tex] log_{2}(1) - 3 = y[/tex]

Add 3 to both sides

[tex] log_{2}(1) = y + 3[/tex]

Rewrite in exponet form

[tex] {2}^{y + 3} = 1[/tex]

Using the zero exponet property, anything to the zero power equal 1 so we must find a value that equal out to zero using the exponet so we'll set up the equation

[tex]y + 3 = 0[/tex]

Subtract 3 from both sides and we get

[tex]y = - 3[/tex]

So the x intercept is 7 and the y intercept is -3

I need help with this algebra problem​

Answers

Answer:

C

Step-by-step explanation:

Simplify x^6+10x^5+25x^4-x^2-10x-25 using synthetic division

Answers

Saan po yung divisor?

Kailangan ko po

What is the solution of the system of equations?
y=x+2
y = 3x
F. (3,-1) G.(-3, 1) H. (1,3)I. (1, -3)

Answers

Answer:

the right answer is H.(1,3)

help please I cant figure this put ​

Answers

Answer:

C

Step-by-step explanation:

Because the circle is not shaded in, it doesn't count the number it's on:

So it would be a < or >.

Because this is on a number line and the shaded part goes to the left, it will be < because it points to the left.

The non-shaded circle is on 4, so your answer, x, will be:

x < 4

But the answer choices don't have this, meaning you have to simplify all of them.

The first one is:

x + 9 < 5

x < -4

x - 5 < 9

x < 14

x + 5 < 9

x < 4

x - 9 < 5

x < 14

So it would be C.

I need help with this plz

Answers

Answer :

B I think that’s the answer
12 + 13 + 14 + 18 + 14 + 13 + 14 + 17 + 12 + 13

= 140

÷10

= 14

Answer is B

If corresponding angles are on parallel lines, then their measure is the same _____.

always
never
sometimes

Answers

Step-by-step explanation:

always .

plz mark my answer as brainlist.hope this will be helpful to you

Answer: Always

Step-by-step-sumsum:

Mr. Johnson sells erasers for $3 each. He sold 96 erasers last week and he sold 204 erasers this week

Answers

Answer:

288

Step-by-step explanation:

it's pretty simple, if u do 96 * 3, it will be that. yw :)

Answer:

He made $324.

Step-by-step explanation:

96 x 3 = 288

204 x 3 = 612

So, then 612-288 = 324

Hope this helped!

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