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
posledela
3 years ago
9

PLZ HELP ASAP DIVIDE LINE SEGMENTS

Mathematics
1 answer:
Yuri [45]3 years ago
5 0
A (4,8)  and   b (7,2)   and   let  c (x,y)

A , B and C are col-linear ⇒⇒⇒ ∴ slope of AB = slope of BC
slope of AB = (2-8)/(7-4) = -2
slope of BC = (y-2)/(x-7)
∴ (y-2)/(x-7) = -2
∴ (y-2) = -2 (x-7)    ⇒⇒⇒ equation (1)

<span>The distance between two points (x₁,y₁),(x₂,y₂) = d
d = \sqrt{ (x2-x1)^{2} + (y2-y1)^{2} }</span>


The ratio of AB : BC = 3:2
AB/BC = 3/2
∴ 2 AB = 3 BC
2 * \sqrt{ (7-4)^{2} + (2-8)^{2} } = <span>3* \sqrt{ (x-7)^{2} +(y-2)^{2} }
eliminating the roots by squaring the two side and simplifying the equation
∴ 4 * 45 = (x-7)² + (y-2)²  ⇒⇒⇒ equation (2)
substitute by (y-2) from equation (1) at </span><span>equation (2)
4 * 45 = 5 (x-7)²
solve for x
∴ x = 9  or  x = 5
∴ y = -2 or  y = 6

The point will be (9,-2)  or   (5,6)
the point (5,6) will be rejected because it is between A and B

So, the point C = (9,-2)

See the attached figure for more explanations
</span>


You might be interested in
Find the value of x.
azamat

Answer:

98 °

Step-by-step explanation:

We know that the sum of the angles in a triangle is 180. We also know that angle DAB is 122°, meaning that angle CAB is 180-122, which is 58°. We also know that angle CBA is 24 degrees. Therefore, angle x is just 180-(58+24), which is 98

3 0
3 years ago
Can someone please help me. I’m not quite understanding this problem
VashaNatasha [74]

Answer:

A=3

B=8

C=2

D=5

Step-by-step explanation:

hope this helps

4 0
3 years ago
Read 2 more answers
sarah and her six friends are decorating picture frans with ribbon they have 5 rolls of ribbon to share evenly
Leya [2.2K]
Http://lbcsd.innersync.com/sites/jhayes/documents/U1M3Gr6pg.49-502015JHayes.pdf
5 0
3 years ago
60/61177.0 Round to the nearest tenth
weeeeeb [17]

60 / 61177  =  0.00098...

The next larger tenth is  0.1 .
The next smaller tenth is  0.0 .

0.00098...  is closer to  0.0  then it is to  0.1 .

60/61177  rounded to nearest tenth  =  zero.

5 0
3 years ago
QUICK HELP PLEASE!!!!
Ksenya-84 [330]

I believe the answer is A

3 0
3 years ago
Other questions:
  • The diameters of ball bearings are distributed normally. The mean diameter is 104 millimeters and the standard deviation is 3 mi
    11·1 answer
  • Sketch the following to help answer the question. Kite QRST has a short diagonal of QS and a long diagonal of RT. The diagonals
    9·1 answer
  • Let θ be an angle in quadrant III such csc(θ)=-(13)/(5). . Find the exact values of tan θ and cosθ ?
    10·1 answer
  • Sarafina and Katie have between $105 and $420 dollars to spend on jewelry for Christmas presents for their friends. If they buy
    8·1 answer
  • I am thinking of a number. I subtract 10 then divide by 2 and I now have 19. What was my original number? (Hint: Start with the
    9·2 answers
  • 3<br>Evaluate :<br>5 12<br>х<br>12 21<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B12%7D%20%20%5Ctimes%20%20%5Cfrac%
    7·2 answers
  • Two parallel lines are crossed by a transversal. Parallel lines x and y are cut by transversal w. On line x where it intersects
    8·2 answers
  • Solve the following word problems:​
    9·2 answers
  • Brainliest if correct! Please explain how this is done!
    9·1 answer
  • 4X+8&lt;28<br> ayudenme por favor
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!