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
S_A_V [24]
3 years ago
8

Suppose that rectangle ABCD is dilated to A'B'C'D' using vertex B as the center and a magnitude of 2. What are the coordinates o

f D'?
A) (3, 4)
B) (8, 4)
C) (4, -8)
D) (4, -11)

Mathematics
2 answers:
kondaur [170]3 years ago
6 0

D

the coordinates of B(4, 3 ) and D(4, - 4 )

BD = d - b ← position vector representation

     = <4, - 4> - <4, 3> = <0, - 7>

BD' = 2BD = 2<0, - 7> = <0, - 14>

D' = (4 + 0, 3 - 14 ) = (4, - 11 ) → D


WITCHER [35]3 years ago
4 0

Answer:

The correct option is D. (4, -11)

Step-by-step explanation:

By looking at the diagram given :

The coordinates of B are : (4, 3 ) and D are : (4, - 4 )

Now, Using position vector representation

BD can be written as :

BD = D - B

     = <4, - 4> - <4, 3>

     = <0, - 7>

Now, rectangle ABCD is dilated to A'B'C'D' using vertex B as the center and a magnitude of 2.

⇒ BD' = 2 × BD

          = 2 × <0, - 7>

          = <0, - 14>

So, Coordinates of D' = (4 + 0, 3 - 14 )

                                     = (4, - 11 )

Therefore, The correct option is D. (4, -11)

You might be interested in
Someone help and please make sure the answer is right! :)
TEA [102]

Answer:

84

Step-by-step explanation:

180-51-45=84

I think this would be the answer since triangles add up to be 84 and we are just finding the last missing angle.

hope this helps :)

8 0
3 years ago
Read 2 more answers
Employees from A and company B receive annual bonuses. What information would you need to test the claim that the difference in
lyudmila [28]

Answer:

1. The required information are

The average annual bonuses, \bar {x}_1 received by employees from company A

The average annual bonuses, \bar {x}_2 received by employees from company B

The standard deviation, σ₁, of the average annual bonuses for employees from company A

The standard deviation, σ₂, of the average annual bonuses for employees from company A

The number of employees in company A, n₁

The number of employees in company B, n₂

2. The null hypothesis is H₀: \bar {x}_1 - \bar {x}_2 ≤ 100

The alternative hypothesis is Hₐ: \bar {x}_1 - \bar {x}_2 > 100

Step-by-step explanation:

1. The required information are

The average annual bonuses, \bar {x}_1 received by employees from company A

The average annual bonuses, \bar {x}_2 received by employees from company B

The standard deviation, σ₁, of the average annual bonuses for employees from company A

The standard deviation, σ₂, of the average annual bonuses for employees from company A

The number of employees in company A, n₁

The number of employees in company B, n₂

2. The null hypothesis is H₀: \bar {x}_1 - \bar {x}_2 ≤ 100

The alternative hypothesis is Hₐ: \bar {x}_1 - \bar {x}_2 > 100

The z value for the hypothesis testing of the difference between two means is given as follows;

z=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{\frac{\sigma_{1}^{2} }{n_{1}}-\frac{\sigma _{2}^{2}}{n_{2}}}}

At 0.5 level of significance, the critical z_\alpha = ± 0

The rejection region is z > z_\alpha and z < -z_\alpha

Therefore, the value of z obtained from the relation above more than or less than 0, we reject the null hypothesis, and we fail to reject the alternative hypothesis.

7 0
3 years ago
I don't understand which selection it would be for each.
Vladimir79 [104]

Answer:

ThEy WoUlD Be I D K

Step-by-step explanation:

5 0
3 years ago
Drive a car at a rate of 40 kilometers per hour or drive a car at a rate of 15 meters per second? (With the work please)
Dafna11 [192]

Answer:

15 meters per second is equivalent to 54 kilometres per hour.

3 0
4 years ago
Read 2 more answers
Solve the equation -2 =<br> k=<br> k+7<br> 3
vovikov84 [41]

{ \orange{ \tt{k = 1}}}

Step-by-step explanation:

-2 = k+7/3

cross multiply 3 with -2 then,

-6 = k+7 (OR) k+7 = -6.

k = -6+7

k = 1.

5 0
2 years ago
Other questions:
  • How many milliliters are in 30 liters? <br><br> 300<br> 3,000<br> 30,000<br> 300,000
    7·1 answer
  • Pre-Cal Help!! (Image Attached)
    11·1 answer
  • A roller coaster starts from a deck at an elevation of 20 feet above the ground. On the first hill it climbs 78 feet and then dr
    10·1 answer
  • Drag numbers to complete the table for missing values of x, x2, and x3.
    9·1 answer
  • Probability and Statistics?
    8·2 answers
  • Review the graph of function g(x). On a coordinate plane, y = g (x) has a straight line connecting point (negative 5, 4) and (ne
    6·2 answers
  • Can some explain this
    8·1 answer
  • The last question: Did the majority of students pass the quiz (70% or Better)?
    6·1 answer
  • Please help 100 points easy question for brainliest
    11·2 answers
  • Can someone tell me what im supposed to even do next??
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!