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
Gennadij [26K]
3 years ago
15

The endpoints of are A(2, 2) and B(3, 8). is dilated by a scale factor of 3.5 with the origin as the center of dilation to give

image . What are the slope (m) and length of ? Use the distance formula to help you decide: .
Mathematics
2 answers:
goldfiish [28.3K]3 years ago
6 0

Answer:

The given line segment whose end points are A(2,2) and B(3,8).

Distance AB is given by distance formula , which is

if we have to find distance between two points (a,b) and (p,q) is

=  \sqrt{(p-a)^2+(q-b)^2}

AB= \sqrt{(3-2)^2+(8-2)^2}=\sqrt{1+36}=\sqrt{37} = 6.08 (approx)

Line segment AB is dilated by a factor of 3.5 to get New line segment CD.

Coordinate of C = (3.5 ×2, 3.5×2)= (7,7)

Coordinate of D = (3.5×3, 3.5×8)=(10.5,28)

CD = AB × 3.5

CD = √37× 3.5

     = 6.08 × 3.5

= 21.28 unit(approx)

2. Slope of line joining two points (p,q) and (a,b) is given by

m=\frac{q-b}{p-a}

m= \frac{8-2}{3-2}=6

As the two lines are coincident , so their slopes are equal.

Slope of line AB=Slope of line CD = 6




Alla [95]3 years ago
6 0
The slopes of both are:m=\frac{y2-y1}{x2-x1}= \frac{8-2}{3-2}=  \frac{6}{1}=6
Length of AB (using the distance formula):AB=\sqrt{(3-2)^{2} +(8-2) ^{2} } = \sqrt{1+36} = \sqrt{37}=6.082
Length of the image: 3.5 * 6.082 = 21.287
You might be interested in
Sub tract 13/15 -1/5
Arada [10]
It would be .6 repeating
6 0
3 years ago
Read 2 more answers
A building is 2ft from a 7 ft fence that surrounds the property. A worker wants to wash a window in the building 11ft from the g
777dan777 [17]

Answer:


Step-by-step explanation:

plug the numbers into the Pythagorean theorem

which is A^2 + B^2 = C^2

4 0
3 years ago
Read 2 more answers
Perform the following calculation: (–16) – (–42)
Viefleur [7K]
That equals, positive 26
6 0
3 years ago
Read 2 more answers
What’s the slope of the equation y= -5x +1
slava [35]

Answer:

slope is -5

Step-by-step explanation:

y=-5x+1

This equation is in slope-intercept form:

y=mx+b

where m is the slope and b is the y-intercept.

In the given equation, the slope is -5 and the y-intercept is 1.

8 0
2 years ago
Read 2 more answers
What is the vertical distance from the origin to the point (2,9)
Arte-miy333 [17]

Answer:

9

Step-by-step explanation:

9.

y coordinate gives the vertical distance

5 0
3 years ago
Other questions:
  • Aiko stands 5 m from a tree. At that distance, the angle of elevation from the ground to the top of the tree is 80°. Approximate
    12·1 answer
  • A cookie has an unknown number of chocolate chips that are evenly distributed
    13·1 answer
  • Fractions greater than 1/2 all of them
    12·1 answer
  • Paula sold 0.4 of her stickers.She gave her friend 2/5 of the remainder.Paula remained with 72 stickers.Calculate how many stick
    15·2 answers
  • What is 7/8<br> expressed as a percent?<br> Enter your answer in the box.
    12·1 answer
  • Find the area of the region between a regular hexagon with sides of 6" and its inscribed circle.
    11·1 answer
  • Consider the diagram. Line l is a perpendicular bisector of line segment R Q. It intersects line segment R Q at point T. Line l
    10·2 answers
  • Altitude vs. speed equations
    5·1 answer
  • Write 7% as a fraction or mixed number in simplest from
    12·1 answer
  • Find the area of the triangle
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!