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
kondor19780726 [428]
3 years ago
6

Find the coordinates of the point 7/10 of the way from A to B. a=(-3,-6) b=(12,4)

Mathematics
1 answer:
Artemon [7]3 years ago
6 0

Answer:

The coordinates of M are x = \frac{15}{2} and y = 1.

Step-by-step explanation:

Let be A = (-3,-6) and B = (12, 4) endpoints of segment AB and M a point located 7/10 the way from A to B. Vectorially, we get this formula:

\overrightarrow {AM} = \frac{7}{10}\cdot \overrightarrow {AB}

\vec M - \vec A = \frac{7}{10}\cdot (\vec B - \vec A)

By Linear Algebra we get the location of M:

\vec M = \vec A + \frac{7}{10}\cdot (\vec B - \vec A)

\vec M = \vec A +\frac{7}{10}\cdot \vec B - \frac{7}{10}\cdot \vec A

\vec M = \frac{3}{10}\cdot \vec A + \frac{7}{10}\cdot  \vec B

If we know that \vec A = (-3,-6) and \vec B = (12, 4), then:

\vec M = \frac{3}{10}\cdot (-3,-6)+\frac{7}{10}\cdot (12,4)

\vec M = \left(-\frac{9}{10},-\frac{9}{5}  \right)+\left(\frac{42}{5} ,\frac{14}{5} \right)

\vec M =\left(-\frac{9}{10}+\frac{42}{5} ,-\frac{9}{5}+\frac{14}{5}   \right)

\vec M = \left(\frac{15}{2} ,1\right)

The coordinates of M are x = \frac{15}{2} and y = 1.

You might be interested in
X to the power of negative 2 equals 25
elixir [45]

Answer: X=0.2 OR -0.2

Step-by-step explanation:

6 0
3 years ago
FFA Entrepreneurship Entries
Gala2k [10]

Answer:

$12

Step-by-step explanation:

30x.4=12 dollars for fuel

5 0
2 years ago
Brian, a landscape architect, submitted a bid on each of three home landscaping projects. He estimates that the probabilities of
lesantik [10]

Answer:

a:  0.08, or 8% chance he wins all 3

b:  0.42, or 42% chance he wins 2

Step-by-step explanation:

P(win A) = 0.8

P(lose A) = 0.2

P(win B) = 0.5

P(lose B) = 0.5

P(win C) = 0.2

P(lose C) = 0.8

The situations are independent, so we multiply probabilities together.

To win all 3:  P(win A)*P(win B)*P(win C) = 0.8*0.5*.02 = 0.08

To win 2 of the 3 there are 3 ways to do this.  We add up the probabilities of the 3 situations...

P(win A)*P(win B)*(lose C) = 0.8*0.5*0.8 = 0.32

P(win A)*P(lose B)*P(win C) = 0.8*0.5*0.2 = 0.08

P(lose A)*P(win B)*P(win C) = 0.2*0.5*.02 = 0.02

0.32 + 0.08 + 0.02 = 0.42

5 0
3 years ago
(5 × 4) × (16 ÷ 8) × (24 − 22) =
sweet [91]
The answer should be 80
8 0
3 years ago
Read 2 more answers
If you answer these questions correctly with an explanation you can get Brainliest
Rina8888 [55]
Not sure sorry I will look at it again though
4 0
3 years ago
Read 2 more answers
Other questions:
  • What is the probability of drawing any face card from a standard deck of 52 playing cards?
    6·1 answer
  • The longest side of an acute triangle measures 30 inches. The two remaining sides are congruent, but their length is unknown.Wha
    8·1 answer
  • A triangle has sides of 2 inches and 7 inches which is a possible lenght,in inches of the third side of the triangle
    14·1 answer
  • Your cell phone plan costs ​$ 34.99 per month plus ​$ 0.17 for each text message you send or receive. You have at most ​$ 42 to
    11·1 answer
  • sues to gallons of gas on a 300-mile trip Jen's car used 5 gallons of gas on 140 road trip whose car got more miles per gallon
    12·1 answer
  • On the unit circle, where 0 less-than pi, when is tangent theta undefined?
    12·1 answer
  • A(-2,-2) B(-1,2) C(2,1) / A (-4,-4) (-2,4) C(4,2)
    11·1 answer
  • Solve for all values of x by factoring.<br><br> X^2-x+1=3
    7·2 answers
  • If your able to help me please do, really need to finish this
    13·1 answer
  • Factor:<br> x2-17x - 60*
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!