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
rjkz [21]
3 years ago
9

The point (-4,1) is rotated 180 degrees counterclockwise using center (-3,0). What are the coordinates of the image?

Mathematics
2 answers:
IrinaVladis [17]3 years ago
4 0
I believe the answer is C also trying using the website desmos it helps a lot with graphing
Nadya [2.5K]3 years ago
3 0

Answer:

  C.  (-2, -1)

Step-by-step explanation:

It can help to plot the points.

For rotation 180 degrees, the center of rotation is the midpoint of the segment joining the given point and its image. That means you want to find the other end of a segment with one end (-4, 1) and midpoint (-3, 0).

For center of rotation O, this means ...

  O = (A +A')/2

  2O -A = A'

  A' = 2(-3, 0) -(-4, 1) = (-6+4, 0 -1) = (-2, -1)

The coordinates of the image are (-2, -1).

You might be interested in
in 2012, the population of a city was 63,000. by 2017, the population was reduced to approximately 54,100. identify any equation
Akimi4 [234]

Answer:

<em></em>f(x) = 63000(0.97)^x<em></em>

<em></em>

Step-by-step explanation:

Given

f(0) = 63000 ---x = 0, in 2012

f(5) = 54100 -- x = 5, in 2017

Required

Select all possible equations

Because there is a reduction in the population, as time increases; the rate must be less than 1.

An exponential function is represented as:

f(x) = ab^x

Where

b = rate

rate > 1 in options (a) and (b) i.e. 1.03

This implies that (a) and (b) cannot be true

For option (c), we have:

f(x) = 63000(0.97)^x

Set x = 0

f(0) = 63000(0.97)^0 = 63000*1=63000\\

Set x = 5

f(5) = 63000(0.97)^5 = 63000*0.8587=54098.1 \approx 54100

<em>This is true because the calculated values of f(0) and f(5) correspond to the given values</em>

For option (d), we have:

f(x) = 52477(0.97)^x

Set x = 0

f(0) = 52477(0.97)^0 - 52477* 1 = 52477

<em>This is false because the calculated value of f(0) does not correspond to the given value</em>

For option (e), we have:

f(x) = 63000(0.97)^\frac{1}{5x}

Set x = 0

f(0) = 63000(0.97)^\frac{1}{5*0} = 63000(0.97)^\frac{1}{0} =undefined

<em>This is false because the f(x) is not undefined at x = 0</em>

For option (f), we have:

f(x) = 52477(0.97)^{5x

Set x = 0

f(0) = 52477(0.97)^{5*0} = 52477(0.97)^0 =52477*1= 52477

<em>This is false because the calculated value of f(0) does not correspond to the given value</em>

<em>From the computations above, only (c) </em>f(x) = 63000(0.97)^x<em> is true</em>

4 0
3 years ago
Glenn bought 3 pounds of tomatoes. He used § of them to make sauce.
Darya [45]

Answer:i dont kno what number u put

Step-by-step explanation:

8 0
3 years ago
The sides of △FGH are FG = 6 x+ 7, GH = 8x - 5, and FH = 10x - 11. If the perimeter of △FGH is 87, list the angles in order from
irga5000 [103]

Answer:

From largest to smallest: FG, FH, GH

Step-by-step explanation:

Given

FG = 6x + 7

GH = 8x - 5

FH = 10x - 11

Perimeter = 87

Required

Order the sides in descending order

First, we need to solve for x.

Perimeter of FGH is calculated as thus:

Perimeter = FG + GH + FH

Substitute values for FG, GH, FH and Perimeter

87 = 6x + 7 + 8x - 5 + 10x - 11

Collect Like Terms

87 - 7 + 5 + 11= 6x + 8x + 10x

96= 24x

Reorder

24x = 96

Divide through by 24

x = 96/24

x = 4

Substitute 4 for x in FG, GH and FH

FG = 6x + 7

FG = 6 * 4 + 7

FG = 24 + 7

FG =31

GH = 8x - 5

GH = 8 * 4 - 5

GH = 32 - 5

GH = 27

FH = 10x - 11

FH = 10*4 - 11

FH = 40 - 11

FH = 29

In order of arrangement in descending order, we have:

FG =31    FH = 29     GH = 27

4 0
3 years ago
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP ME I BEGGING YOU PLZZZZZZZZZZZZZZZ HELP!!!! (55 POINTS)
Karo-lina-s [1.5K]

Answer:

1. 74 because 8(10) - 6

2.4(4) - 5(3) = 1

3. 7(3)+8(4) * 2 = 106

4. A

5.a

6. 20.5

7.26

8.a

9.a

10a

Step-by-step explanation:

3 0
3 years ago
Select the appropriate linear equation for the trend line.
Maksim231197 [3]

Answer:

A y = x + 1

Step-by-step explanation:

The line starts at 1 on the y-axis so the u intercept will be 1

4 0
2 years ago
Read 2 more answers
Other questions:
  • Classify the function as linear or quadratic and identify the quadratic linear and constant terms. PLEASE HELP ME!!!
    14·1 answer
  • Evaluate the expressions<br> (2/7)^0=<br> (9)^0=
    12·1 answer
  • What is the surface area of a sphere that has a radius of 5 units? Use 3.14 for π. A. 254 units2 B. 300 units2 C. 314 units2 D.
    8·2 answers
  • Free points for who ever wants them
    7·2 answers
  • Use a factor rainbow to determine if 729 is a perfect square. Explain your reasoning.
    10·1 answer
  • A 747 airplane is 762 inches tall.how tall is it in feet
    7·1 answer
  • Riley spent $1350 on housing which was 60% of her budget what is her whole budget in $
    15·1 answer
  • HELP ME A rock garden is in the shape of a triangle as shown. Which equation could be used to find the area of the rock garden?
    9·1 answer
  • HELP ME PLLEEAASSEEE
    15·1 answer
  • HELPP A new scarf has a regular price of $26. It is on sale for $17. What percent discount is this?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!