MATHEMATICS HIGH SCHOOL

What is the image of (1, -6) for a 270° counterclockwise rotation about the origin? (-1, -6)

(-1, 6)

(-6, -1)

(6, 1)

Answers

Answer 1
Answer:

Answer:

The image of (1,-6) is (-6,-1)

C is correct

Step-by-step explanation:

Given: (1,-6) rotate 270° counterclockwise rotation about the origin.

For 270° counterclockwise rotation about the origin.

(x,y)\overset{270^\circ}{\rightarrow}(y,-x)

(1,-6)\overset{270^\circ}{\rightarrow}(-6,-1)

(1,-6) lie in IV quadrant.

After 270° counterclockwise rotation about the origin

Point image form in III quadrant.

Hence, The image of (1,-6) is (-6,-1)
Answer 2
Answer:  I think (-1,-6) 
hope this help

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Factor the following expression...
x^2 - 2x - 3

Answers

Trying to factor by splitting the middle term

 1.1     Factoring  x2-2x-3 

The first term is,  x2  its coefficient is  1 .
The middle term is,  -2x  its coefficient is  -2 .
The last term, "the constant", is  -3 

Step-1 : Multiply the coefficient of the first term by the constant   1 • -3 = -3 

Step-2 : Find two factors of  -3  whose sum equals the coefficient of the middle term, which is   -2 .

     -3   +   1   =   -2   That's it


Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -3  and  1 
                     x2 - 3x + 1x - 3

Step-4 : Add up the first 2 terms, pulling out like factors :
                    x • (x-3)
              Add up the last 2 terms, pulling out common factors :
                     1 • (x-3)
Step-5 : Add up the four terms of step 4 :
                    (x+1)  •  (x-3)
             Which is the desired factorization

Final result : (x + 1) • (x - 3) 

hope this helps hope i am brainliest i need it 

Scientific notation 2/10=?
and 12 thousandth =? show the work.

Answers

12,000=12*1,000 or 12,000=12*10^3

1. -(p - 5) = -5 - 7(p + 2)
2.7(r - 8) = -2(r + 1)

Answers

Answer:

1. p = -4

2. r = 6

Step-by-stepexplanation:

Penny works at a localamusement park.
She earns $9.80 per hour.
She is also paid $7.00 for
meals and $3.00 for
transportation each day.
Last Friday, Penny earned
$88.40. Write and solve an
equation to determine how
many hours Penny worked
on Friday.

Answers

Answer:Penny worked 8 hours on Friday.

7 + 3 + 9.8h = 88.4

h = 8

Plz mark brainliest:)

Solve the equation for Q.
R = T - RQ

Answers

Answer:

\huge\boxed{Q=(T-R)/(R)=(T)/(R)-1}

Step-by-step explanation:

R = T - RQ\qquad|\text{add}\ RQ\ \text{to both sides}\n\nR+RQ=T-RQ+RQ\n\nR+RQ=T\qquad|\text{subtract}\ R\ \text{from both sides}\n\nR-R+RQ=T-R\n\nRQ=T-R\qquad|\text{divide both sides by} \ R\neq0\n\n(RQ)/(R)=(T-R)/(R)\n\nQ=(T-R)/(R)\n\nQ=(T)/(R)-(R)/(R)\n\nQ=(T)/(R)-1

On a vertical line segment, point A is located at 50. Point B is located at 104. Point P is a point that divides segment AB in a ratio of 1:5 from A to B. Where is point P located?

Answers

Answer:

Step-by-step explanation:

Let the initial point on the line segment be O. If point A is located at 50 and point B is located at 104, then OA = 50 and OB = 104. Using the vector notation;

AO+OB = AB

(-OA)+OB = AB

-50+104 = AB

AB = 54

If point P divides the segment AB in a ratio 1:5, them AP:PB = 1:5

AP = 54/6

AP = 9

PB = 54-9

PB = 45

Hence the point P is located at 9 units from A and 45 units from B
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