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
irga5000 [103]
3 years ago
10

After a rotation of 90° about the origin, the coordinates of the vertices of the image of a triangle are A'(6, 3), B'(–2, 1), an

d C'(1, 7). What are the coordinates of the vertices of the pre-image?
Mathematics
2 answers:
Licemer1 [7]3 years ago
4 0
Assuming the original was rotated counterclockwise, and this only works for a rotation about the origin, a rotation of 90 degrees switches the x and y coordinate and depending on which part of the graph (quadrant) it is in the signs may change as well.  First, and the trickiest part is finding how the signs change. 

There are four quadrants, first, second third and fourth starting with the upper right than upper left than lower left then lower right.Since none of the veracities have a 0 in them we don't have to worry about the x or y axis, though it is worth realizing each axis is 90 degress from the others.  So something  at 2 on the x axis (2,0) moves 90 degrees counterclockwise would then be at 2 on the y axis (0,2) and moves one more time would be at (-2,0).

A' is in the first quadrant (upper right) so the previous quadrant 90 degrees clockwise is the fourth quadrant (lower right).  The signs of the coordinates then will go from (+,+) to (+,-).

Now that we have the signs we just switch the coordinates so (6,3) goes to (3,6) and the sign change makes it (3,-6).  Just follow this pattern with the other two points (-2,1), and (1,7) find the signs by figuring out the previous quadrant than switch the coordinates and apply the sign changes
iragen [17]3 years ago
3 0

A=(3,-6) B=(1,2) C=(7,-1)

You might be interested in
If I run 26.2 miles in 1 hour 18 minutes and 27 seconds what is the average speed. Round to the nearest hundredths
gogolik [260]

Answer:

100 miles per 5 hour

Step-by-step explanation:

by the average speed of 20 miles per hour

it takes 5 hour average to cover 100 miles

8 0
3 years ago
What is the interquartile range of the data set?
VladimirAG [237]
Don’t use that link!! They always comment under my stuff and other people have told me that’s just to get your information and location and stuff like that! Be safe and have a nice day
4 0
2 years ago
Write the Slope Intercept form equation for a line passing<br> through (4,6) and (8,9)<br> A<br> .
Serggg [28]

Answer:

y=3/4x +3

Step-by-step explanation:

Find the slope first.   y-y over x-x

Y: 9-6 =3

X 8-4 = 4

so the slope is 3/4

Now choose one of the ordered pairs to use to substitute to find the y intercept or "b" in y=mx + b

I chose 4,6 since the slope has a 4 in the denominator

Use y=mx + b

Y =6 from ordered pair    m/slope= 3/4   x= 4 from ordered pair and you are looking for b

6= 3/4 (4) + b

6= 12/4 or 3 + b  subtract 3 from both sides

3= b

equation is y=3/4x +3

6 0
3 years ago
Given y = a(x - h)^2 + k, p = <br> A. a <br> B. 4a <br> C. 1/4a
Flauer [41]

9514 1404 393

Answer:

  C.  1/(4a)

Step-by-step explanation:

We assume you're comparing the vertex form ...

  y = a(x -h)^2 +k

to the form used to write the equation in terms of the focal distance p.

  y = 1/(4p)(x -h)^2 +k

That comparison tells you ...

  a = 1/(4p)

  p = 1/(4a) . . . . . . multiply by p/a; matches choice C

__

<em>Additional comment</em>

When using plain text to write a rational expression, parentheses are needed around any denominator that has is more than a single constant or variable. The order of operations requires 1/4a to be interpreted as (1/4)a. The value of p is 1/(4a).

When rational expressions are typeset, the fraction bar serves as a grouping symbol identifying the entire denominator:

  p=\dfrac{1}{4a}

8 0
2 years ago
Mr Russo made a pizza that was 2 times as wide as a small pizza. His extra large pizza had a diameter of 18 inches. What was the
Pavlova-9 [17]
Diameter of small pizza = diameter of large pizza divided by 2 = 9 inches


x = y divided by 2
x = 9 inches
5 0
3 years ago
Other questions:
  • In 1955 an antique car that originally cost $3,668 is valued today at $62,125 if in excellent condition, which is 1 3/4 times as
    5·1 answer
  • 1-3/8=2/8<br><br> Because it’s basically you are doing 1-3=2
    9·1 answer
  • Andre is setting up rectangular tables for a party. He can fit 6 chairs around a single table. Andre lines up 10 tables end-to-e
    12·1 answer
  • A) Explain...
    9·1 answer
  • Tanya drove 3 1/2 hours and used 1/3 tank of gas. For how long could Tanya drive using​ 1/2 ​tank of gas?
    15·1 answer
  • Lilly saves 2/9 of her allowance is $18 per week.How much does she save eaxh week?
    13·1 answer
  • 6h-3=7h-13<br> step by step pleasee
    6·2 answers
  • A science experiment requires a 10% hydrogen peroxide solution. How much hydrogen peroxide must be added to 16 ounces of water t
    10·1 answer
  • Zer - 25$ Soil- 6.25 Jamie is starting a garden. She buys 3 bags of potting soil and 4 bags of fertilizer. In all she spent 125$
    7·1 answer
  • Round 37.74 to the ones place.​
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!