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
Oksana_A [137]
3 years ago
8

The end points of the directed line segment AB are A(-1,2) and B(7,8). Find the coordinates if point P along AB so the ratio of

AP to PB is 1 to 3.

Mathematics
1 answer:
kumpel [21]3 years ago
7 0
The given endpoints are A (-1, 2) and B (7, 8).

Let the coordinates of P be (x,y)
Because AP:PB = 1:3, therefore
\frac{x-(-1)}{7-x} = \frac{1}{3}
Cross multiply.
3(x+1) = 7 - x
3x + 3 = 7 - x
4x = 4
x = 1

Also,
\frac{y-2}{8-y} = \frac{1}{3}
Cross multiply.
3(y - 2) = 8 - y
3y - 6 = 8 - y
4y = 14
y = 7/2

Answer:
The coordinates of P are (1, 7/2)

You might be interested in
1/2 of Ila’s workspace is covered in paper. 1/3 of the paper is covered in yellow sticky notes. What fraction of Ila’s workspace
Gennadij [26K]

Answer:

\frac{1}{6}          

Step-by-step explanation:

We have been given that 1/2 of Ila’s work-space is covered in paper. 1/3 of the paper is covered in yellow sticky notes.

Ila’s work-space is covered in yellow sticky notes would be 1/3 of 1/2.

\text{Ila’s workspace is covered in yellow sticky notes}=\frac{1}{3}\times \frac{1}{2}  

\text{Ila’s workspace is covered in yellow sticky notes}=\frac{1\times1}{3\times 2}  

\text{Ila’s workspace is covered in yellow sticky notes}=\frac{1}{6}

Therefore, \frac{1}{6} of Ila’s workspace is covered in yellow sticky notes.

7 0
3 years ago
State the open intervals over which the function is (a) increasing, (b) decreasing or (c) constant
ipn [44]

Answer:

a. [-3, 4]

b. (-inf, -3]

c. [4, inf)

Step-by-step explanation:

Our intervals will represent the x-values

We know that since there's an arrow pointing to the left of the line that it goes on infinitely

Same thing when the arrow is going to the right

Then we can just looking at the x-values on the graph for the intervals where it starts and stops

Hope this helps

Best of luck

3 0
2 years ago
What solid 3D object is produced by rotating the rectangle about line m?
Roman55 [17]

Answer:

A. A cylinder with diameter 8 units

Step-by-step explanation:

∵ The <u>line</u> m is the <em>central axis</em>

So the radius is 4 units. ∴ Diameter is 8 units.

∵ The picture is a <em>rectangle</em>.

[ The <em>rectangle rotates</em> are its side to form a <em>cylinder</em> ]

So a cylinder with diameter 8 units.

The answer is A.

7 0
2 years ago
En la preparación de un perfume se cuenta con dos tipos de esencia base: 1600 ml de una y 1680 ml de otra. Se quiere envasarlas,
Lostsunrise [7]

Answer:

33,600 frascos

Step-by-step explanation:

Resolvemos esta pregunta utilizando el método mínimo común múltiple

Encuentre y enumere los múltiplos de 1600 y 1680 hasta encontrar el primer múltiplo común. Este es el mínimo común múltiplo.

Múltiplos de 1600:

1600, 3200, 4800, 6400, 8000, 9600, 11200, 12800, 14400, 16000, 17600, 19200, 20800, 22400, 24000, 25600, 27200, 28800, 30400, 32000, 33600, 35200, 36800

Múltiplos de 1680:

1680, 3360, 5040, 6720, 8400, 10080, 11760, 13440, 15120, 16800, 18480, 20160, 21840, 23520, 25200, 26880, 28560, 30240, 31920, 33600, 35280, 36960

Por lo tanto,

LCM (1600, 1680) = 33,600

La menor cantidad de frascos necesarios es 33,600 frascos.

4 0
3 years ago
What is the quotient?<br> 5-6/53
madreJ [45]

Answer:

-1/53

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • Determine the measure of an angle whose measure is 17 times that of its complement.
    6·2 answers
  • Tennis balls are sold in cylindrical cans with the balls stacked one on top of the other. A tennis ball has a diameter of 6.7 cm
    8·1 answer
  • Evaluate 3x^2-1 when x=2
    15·2 answers
  • the approximate Half-Life of titanium-44 is 63 years. how long will it take a sample to loose 75% of its titanium-44? explain Wh
    7·1 answer
  • 3/5x + 35°<br>Find the value of x.<br>135<br>145<br>quizzes ​
    5·1 answer
  • If two dice are rolled one time, find the probability of getting: a sum grater than 10\
    11·1 answer
  • The area of polygon MNOPQR = Area of a rectangle that is 15 square units + Area of a rectangle that is ___ square units. (Input
    11·1 answer
  • eduardo works as an accountant for a consulting firm. he earns an annual salary of 68,090 and an annual bonus based of the firms
    14·1 answer
  • Subtract: 3.8 - 2.923. Explain in your own words how you would solve this, in detail, from start to finish.
    7·1 answer
  • The graph of y = x^2 is translated 1 unit to the right. What is the equation of the new graph?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!