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
musickatia [10]
1 year ago
8

The line segment determined by A(4,7) and B(2, 9) along <0, –2>

Mathematics
1 answer:
Arlecino [84]1 year ago
4 0

The endpoints of the image are A'(x,y) = (4,5) and B'(x,y) = (2,7), respectively.

Note - The statement is incomplete. Complete description is shown below:

<em>The line segment determined by </em>A(4,7)<em> and </em>B(2,9)<em> is translated along </em>\langle 0, -2\rangle<em>. Determine the endpoints of the image of the line segment AB.</em>

Vectorially speaking, the translation of a point is defined by this formula:

P'(x,y) = P(x,y) + T(x,y) (1)

Where:

  • P(x,y) - Original point.
  • P'(x,y) - Resulting point.
  • T(x,y) - Translation.

Now we proceed to calculate the endpoints of the image:

Point A

A'(x,y) = A(x,y) + T(x,y)

A'(x,y) = (4,7) + (0,-2)

A'(x,y) = (4,5)

Point B

B'(x,y) = B(x,y) + T(x,y)

B'(x,y) = (2,9) + (0,-2)

B'(x,y) = (2,7)

The endpoints of the image are A'(x,y) = (4,5) and B'(x,y) = (2,7), respectively.

We kindly invite to see this question on translations: brainly.com/question/12463306

You might be interested in
So you may see more than one post abt these bc its due at 11:59 lol​
dusya [7]

Answer:

quadrilateral

<3

Step-by-step explanation:

8 0
2 years ago
In slope-intercept form, what is the equation of the line passing through the points (-4.26) and (6-4)?
Harlamova29_29 [7]

Answer:

y=-3x+14

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-4-26)/(6-(-4))

m=-30/(6+4)

m=-30/10

m=-3

y-y1=m(x-x1)

y-26=-3(x-(-4))

y-26=-3(x+4)

y=-3x-12+26

y=-3x+14

5 0
3 years ago
What is the shape of the graph of the function?<br> g(x)= 3/2 (2/3) ^x
Andrew [12]

Answer:

Please check the attached graph.

From the graph, it is clear that option B is the correct option.

Step-by-step explanation:

Given the function

g\left(x\right)=\:\frac{3}{2}\:\left(\frac{2}{3}\right)^x

Determining the y-intercept

We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

so

substituting x = 0 in the fuction

y=\:\frac{3}{2}\:\left(\frac{2}{3}\right)^x

y=\:\frac{3}{2}\:\left(\frac{2}{3}\right)^0

Apply rule:  a^0=1,\:a\ne \:0

y=1\cdot \frac{3}{2}

y=\frac{3}{2}

y = 1.5

Therefore, the point representing the y-intercept is:

  • (0, 1.5)

Determining the x-intercept

We know that the value of the x-intercept can be determined by setting y = 0, and determining the corresponding value of x.

so

substituting y = 0 in the function

0=\frac{3}{2}\left(\frac{2}{3}\right)^x

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

\left(\frac{2}{3}\right)^x=0

We know that a^{f\left(x\right)} can not be zero or negative for x ∈ R

Thus, NONE represents the x-intercept.

Please check the attached graph.

From the graph, it is clear that option B is the correct option.

5 0
3 years ago
frank is buying a couch for his new apartment. the couch costs d dollars, and the sale tax is 8%. Select all of the following th
givi [52]

Answer:

Step-by-step explanation On the first day of Christmas my true love sent to me love me:

6 0
3 years ago
1. What is the measure of ∠ABC? What is the measure of ∠ABD?
borishaifa [10]

Answer:

<em>\angle ABC=145\° and \angle ABD=35\°</em>

Step-by-step explanation:

According to the given diagram, points C, B and D are in a straight line and AB is a common terminal side of both \angle ABC and \angle ABD.

So, \angle ABC and \angle ABD are pair of linear angles.

In the diagram, we can see that the side AB lies on 145 from left side and on 35 from right side.

So, \angle ABC=145\°

and \angle ABD=35\°

8 0
3 years ago
Read 2 more answers
Other questions:
  • Find the 43rd term of the sequence 13.1,3.1,-6.9,-16.9,
    15·2 answers
  • claudia bought 2 filing cabinets and 4 cupboards. A filing cabinet costs 3 times as much as a cupboard. She paid 800 altogether.
    6·1 answer
  • Need help with some financial math can you help.? atleast with 4
    11·1 answer
  • If 18 meters of high-resistance wire with a diameter of 1.2 mm has a resistance of 10 ohms, what is the resistance of 27 m of th
    8·1 answer
  • How does the volume change as each layer is added
    14·1 answer
  • 2 39/40 in decimal form
    5·1 answer
  • The manager of a mall conducted a survey among two groups (n1 = 100, n2 = 100) of visitors to the mall on different days. She fo
    5·1 answer
  • I
    12·1 answer
  • Which is a y-intercept of the continuous function in the table? х – 4 -3 -2 -1 0 1 f(x) -10 0 0 – 4 -6 0 2 O (0,6) O (-2, 0) O (
    10·1 answer
  • 6. David gets 65 chocolates an hour for cleaning. He gets a 15% raise. He
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!