1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
meriva
3 years ago
7

Line AB is a directed segment with endpoints A(2,2) and B(14,14). In two or more complete sentences, explain how you would verif

y that Point X, with a coordinate of (6,6), divides Line AB in a 1:2 ratio?
Mathematics
1 answer:
Kisachek [45]3 years ago
4 0

It is not recommended that points be marked with X, let's marked with C(6,6)=(Xc,Yc)

The coordinates of the point C(Xc,Yc) which belongs to the line AB and divides line AB in a ratio m : n = 1 : 2 or m/n=1/2 are get it with following formula

Xc=(Xa+(m/n)Xb) / (1+(m/n)) and Yc=(Ya+(m/n)Yb) / (1+(m/n))

We have A(2,2)=(Xa,Ya) and B(14,14)=(Xb,Yb)

When we replace given coordinates we get

Xc=(2+(1/2)*14) / (1+(1/2)) = (2+7) /(3/2) = 9/(3/2) = (9*2)/3 = 3*2 =6 => Xc=6

Yc=(2+(1/2)*14) / (1+(1/2)) = (2+7) / (3/2) = 9/(3/2) = (9*2)/3 = 3*2 =6 => Yc=6

C(Xc,Yc)=(6,6)

Good luck!!!



You might be interested in
What value of n makes the equation true? (2x^9y^n)(4x^2y^10)=8x^11y^20
Komok [63]
Hi there! The answer is n = 10.

(2 {x}^{9}  {y}^{n} )(4 {x}^{2}  {y}^{10} ) = 8 {x}^{11}  {y}^{20}

As you see at the powers of x, we need to add the exponents of the power we when multiply them.
{x}^{9}  \times  {x}^{2}  =  {x}^{9 + 2}  = x {}^{11}

The powers of y work the same way.
{y}^{n}  \times  {y}^{10}  =  {y}^{n + 10}  =  {y}^{20}

Hence, n = 10, since
{y}^{10 + 10}  =  {y}^{20}
8 0
3 years ago
Sammie has 3 times as many goldfish as Nora. Nora has 4 goldfish.
defon
For Sammie the equation would be S=3N.

If Nora (N) has 4 goldfish, you substitute N=4 into the previous equation to find out how many goldfish Sammie has.

>  S= 3 x 4 
= 12

The next part of the question is asking you how many goldfish do Sammie and Nora have in all. If Sammie has 12 goldfish and Nora has 4 goldfish, the equation would be 12 + 4= 16

The answer would be 16 goldfish in total.

8 0
3 years ago
​Solve for x. 5x−2(x+1)=1/4 ​ <br><br> Enter your answer as a fraction in simplest form.
kondaur [170]

Answer:

x=  3/4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

5x−2(x+1)= 1 /4

5x+(−2)(x)+(−2)(1)= 1 /4

(Distribute)

5x+−2x+−2= 1 /4

(5x+−2x)+(−2)= 1 /4

(Combine Like Terms)

3x+−2= 1 /4

3x−2=1 /4

Step 2: Add 2 to both sides.

3x−2+2= 1 /4 +2

3x= 9 /4

Step 3: Divide both sides by 3.

3x/ 3 = 9 /4 /3

x= 3 /4

6 0
2 years ago
Read 2 more answers
Using all my points for this. Sorry for making somebody have to do this but I have to do some other homework on the side that I
givi [52]

Answer:

I am busy but all the questions from 1 to 6 just add the measure of 2 angles which are given and then subtract it from 180, you will get the measure of the remaining angle.

7.

8.: 180/3

9. x = 5

10. i dont know

i dont know = no time....

Step-by-step explanation:

8 0
2 years ago
Complete the table below to solve the equation 2.5x − 10.5 = 64(0.5x).1. Be careful when putting exponents into your calculator-
ololo11 [35]
The answer would be a simple 5 time itselsf
3 0
3 years ago
Other questions:
  • Plz answer ASAP I don't understand it easy math
    11·1 answer
  • How many perfect cubes divide evenly into 13824?
    11·1 answer
  • I am very confused please solve and explain.
    5·2 answers
  • PLEASE HELP!! URGENT!!! PLEASE!
    8·2 answers
  • Find the distance between the two points rounding to the nearest tenth (if necessary).
    6·1 answer
  • What is the slope of these lines?<br> What is the equation of these lines?
    11·1 answer
  • Twelve is what percent of 42
    9·2 answers
  • Answer for both boxes please :)​
    7·1 answer
  • Question 4 of 40
    12·1 answer
  • ⚠URGENT!!!⚠ <br><br> solve for m.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!