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
weqwewe [10]
3 years ago
6

AB is dilated by a scale factor of 3 to form AB . Point O is the center of dilation, and point O lies on AB . If the slope of AB

is 3, what can be said about line A'B' ?
A. The slope of is 6, but does not pass through O.

B. The slope of is 9, and passes through O.

C. The slope of is 9, but does not pass through O.

D. The slope of is 3, and passes through O.

E. The slope of is 3, but does not pass through O.
Mathematics
1 answer:
avanturin [10]3 years ago
5 0
<h2>Answer:</h2>

Option: D is the correct answer.

  D.    The slope of is 3, and passes through O.

<h2>Step-by-step explanation:</h2>

It is given that:

AB is dilated by a scale factor of 3 to form AB .

Also, the line AB pass through the origin.

So, if AB pass through (0,0) and some point (x,y) then the slope of line AB is:

Slope=\dfrac{y-0}{x-0}\\\\i.e.\\\\Slope=\dfrac{y}{x}=3

( Since, it is given the slope of AB is 3 )

Now , if AB is dilated to A'B' by a scale factor of 3 then

(0,0) → (0,0)

and

(x,y) → (3x,3y)

i.e. (0,0) and (3x,3y) will lie on A'B'.

Hence, the slope of line A'B' is given by:

Slope=\dfrac{3y-0}{3x-0}\\\\i.e.\\\\Slope=\dfrac{3y}{3x}\\\\i.e.\\\\Slope=\dfrac{y}{x}=3

Hence, both have the same slope.

                The answer is :  Option: D

You might be interested in
In the figure, the measure of Angle 8 = 96 and the measure of Angle 12 =42. Find the measure of Angle 9.
r-ruslan [8.4K]
ANSWER:   84; Consecutive Interior Angles Theorem

6 0
3 years ago
Find the length of a side of a square if its area is m^2 square units
zimovet [89]

Answer:

m

Step-by-step explanation:

Square area: m²

The formula for finding the square area: m×m=m²

m²=√(m²)=m

one side of the square is equal to m

4 0
2 years ago
Melinda bought 6 bowls for $13.20. what was the unit rate in dollars
OlgaM077 [116]
To find the unit rate we will divide the amount of dollars ($13.20) by the amount of bowls (6). Then we will check our work. lets do it:-

13.20 ÷ 6 = 2.20
$2.20 per bowl

CHECK OUR WORK:-

2.20 × 6 = 13.20
we were RIGHT!!

So, the unit rate in dollars for, Melinda bought 6 bowls for $13.20  is, $2.20 per bowl.

Hope I helped ya!! xD
8 0
3 years ago
Read 2 more answers
Simplify this expression below as much as possible. <br> (7+4i)+(9+5i)-(2+5i)
gtnhenbr [62]

Answer:

7+4i+9+5i-2-5i

7+4i+9-2

4i+7+9-2

4i+14

7 0
2 years ago
Read 2 more answers
A container ship has to make 2 deliveries then return to the pier it started from. The boat travels 8 miles straight north to it
oksano4ka [1.4K]
Straight north is the answer
6 0
3 years ago
Other questions:
  • What is the difference of the fractions represented in the model (SOS NEED ANSWERED NOW PLEASE)
    6·1 answer
  • Select the x-coordinate of the vertex of the parabola defined by the function f(x)=-9x^2+7x+8
    7·2 answers
  • I'm not sure what they're asking for here.
    7·1 answer
  • A pendulum swings 80 cm on its first swing, 76 cm on its second swing, 72.2 cm on its third swing, and 68.59 cm on its fourth sw
    11·1 answer
  • 78x5 = multiply the ten by 5
    11·1 answer
  • Are these correct ? And help with number 3 please
    6·1 answer
  • The cereal box shown below is a rectangular prism.
    5·1 answer
  • Which ratio is equal to 27 : 81?
    15·2 answers
  • This figure consists of a rectangle and semicircle.
    12·1 answer
  • WILL GIVE BRAINLIEST
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!