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3 years ago

Point A is located at (3, 6) and point B is located at (10,−2) .

Mathematics

1 answer:

siniylev [52]3 years ago

8 0

Answer:

(4.75, 4)

Step-by-step explanation:

We are to find the coordinates of the point that partitions the directed line segment AB in 1:3 ration.

For this, we will use the following formula:

$x = x_1 + k(x_2 - x_1)$ , $y = y_1 + k(y_2-y_1)$

where $k$ is the ratio of the first segment to the whole line segment so in this case, it will $\frac{1}{4}$ .

So substituting the given values in the above formula to find the coordinates:

$x = 3 + \frac {1}{4} (10-3) = 4.75$

$y = 6 + \frac{1}{4} (-2-6) = 4$

Therefore, the coordinates of the point that partitions the directed line segment AB in a 1:3 ratio are (4.75, 4).

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A teacher polled only the 8th grade students in English classrooms on what their favorite color is. She found that the favorite

amid [387]

Answer:

This is a biased sample.

Step-by-step explanation:

This is because she gave a random sample, but the she had the convenience of the students being with her when she surveyed. So it'e not actually random. She could also worded the survey or gave a biased response.

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2 years ago

N. Solve the expression. Use PEMDAS [2.1+(9.2 x 3.3)] x 0.8= -

densk [106]

Answer:

25.968

Step-by-step explanation:

The Google calculator will reliably use PEMDAS to evaluate an expression.

= (2.1 +30.36)×0.8

= 32.46×0.8

= 25.968

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2 years ago

What are the coordinates of the centroid of a triangle with vertices J(−4, 2) , K(2, 4) , and L(0, −2) ?

Kryger [21]

Given the coordinates of the three vertices of a triangle ABC,
the centroid coordinates are (x1+x2+x3)/3, (y1+y2+y3)/3
so (-4+2+0)/3=-2/3, ]2+4+(-2)]/3=4/3
so the coordinates are (-2/3, 4/3)

3 0

3 years ago

Read 2 more answers

Write the vertex form of the equation of the parabola which has a vertex of (0,0) and contains the point (1,2). A. Y=2x^2. B. Y=

Aleonysh [2.5K]

General equation of parabola: y-k = a(x-h)^2

Here the vertex is at (0,0), so we have y-0 = a(x-0)^2, or y = ax^2

All we have to do now is to find the value of the coefficient a.

(1,2) is on the curve. Therefore, 2 = a(1)^2, or 2 = a(1), or a = 2.

The equation of this parabola is y = 2x^2.

5 0

2 years ago

mauricio estimates that the first module of the project could be completed in as few as 15 days or could take as many as 25 days

4vir4ik [10]

Answer:

Most likely time, according to PERT (Program evaluation and review technique).

Step-by-step explanation:

PERT is "a statistical tool used in project management" (Program evaluation and review technique (2020), in Wikipedia), and it is commonly used with CPM (Critical Path Method) to manage projects.

Inside PERT, there are different defined times to accomplished an activity in a project, that is:

An optimistic time or minimum time required to accomplished an activity, i.e., if everything goes better than normal, the activity is accomplished before expected.
A pessimistic time, a time quite the opposite to optimistic time.
A most likely time, or a time required to accomplished an activity if everything goes as expected or normally.
An expected time, an statistical estimation.

Considering the question, we have that the time when "the first module of the project could be completed":

"[...] in as few as 15 days" is the optimistic time.
"[...] or could take as many as 25 days" is the pessimistic time.
"[...] but most likely will require 20 days" is the most likely time.

As a result, the 20-day estimate is called the most likely time in the context of the PERT/CPM techniques.

3 0

2 years ago