MATHEMATICS COLLEGE

If P = (2,-1), find the imageof P under the following rotation.
270° counterclockwise about the origin
([?], [])
Enter the number that belongs in
the green box.

Answers

Answer 1
Answer:

9514 1404 393

Answer:

  P'(-1, -2)

Step-by-step explanation:

The transformation for 270° CCW rotation is ...

  (x, y) ⇒ (y, -x)

Then the image of the given point is ...

  P(2, -1) ⇒ P'(-1, -2)

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Jay simplify the expression 3x( 3+12÷3)-4 over his first step he added 3+12 to get 15 what was jays error? Find the correct answer

Answers

Hello there!

To simplify this expression, you must follow PEMDAS.

3x(3+12÷3) parentheses first
3x(3+4) do the division
3x(7) addition inside of parentheses
21x multiplication

This means that Jay is incorrect in doing addition first.

I really hope this helps!
Best wishes :)
distribute 3x through all the numbers in () then solve for x and you get 21x-4

A vacant city lot is being turned in to a garden. the neighbors want to fence in a triangular section of the lot and plant flowers there. the longest side of the triangular sec is 8 feet shorter than twice the shortest side. the third side is 4 feet longer than the shortest side. the perimeter is 56 feet. how long is each side?

Answers

Hi there,
First of all, we see what are looking for.
We want to find the length of each side
What do we know?
Perimeter is 56
We  are also given relation of between all the sides
But first we make some suggestions to the problem
Say that x is the shortest side
That means the longest is 2x-8
and the thirst side is x+4
Now we the desired information.
Perimeter=56=x+2x-8+x+4
we solve for x
combining like terms we get
4x-4=56
subtract 4 from both side
4x-4+4=56+4
4x=60
divide by 4 both side
4x/4=60/4
x=15

Shortest side is 15
longest side is 2(15)-8=30-8=22
3rd side is 15+4=19
if we add them up
15+22+19=56
inside plus outside inside plus outside from middle to lenth out from first.

What is the common difference in the arithmetic sequence 10, 8, 6, 4, ...?

Answers

The common difference of the given A.P. is -2.

What is a expression? What is a mathematical equation? What is Equation Modelling? What is an arithmetic sequence?

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The nth term of an A.P. is given by -

a[n] = a + (n - 1)d

We have the following sequence 10, 8, 6, 4, ... .

We have -

10, 8, 6, 4, ...

The common difference of the given A.P. is -

d = 8 - 10 = 6 - 8 = 4 - 6

d = - 2

Therefore, the common difference of the given A.P. is -2.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

brainly.com/question/14441381

#SPJ2

Answer:

-2

Step-by-step explanation:

10-8=2

8-6=2

6-4=2

4-2=2

triangle NOP is similar to triangle QRS. Find the measure of Side SQ. Round your answer to the nearest tenth if necessary

Answers

The measure of side SQ from the given similar triangles is 40.9 units.

What are similar triangles?

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

Given that, triangle NOP is similar to triangle QRS.

Since the triangles are similar,

NP/SQ = NQ/QR

10/SQ = 13/53.2

13SQ=532

SQ=532/13

SQ=40.9 units

Therefore, the measure of side SQ is 40.9 units.

To learn more about the similar triangles visit:

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Answer:

Step-by-step explanation:

(Ill give brainliest :) )Which equations have a value less than 6,766?

A. one fourth x 6,766 = ________

B. 6 x 6,766 = ________

C. one half x 6,766 = ________

D. 1 x 6,766 = ________

1) A and C
2) D and B
3) A and B
4) C and D

Answers

Answer:

A and C

Step-by-step explanation:

A.¼×6766=1691.5

B.6×6766=40,596

C.½×6766=3383

D.1×6766=6766

7h + 10 = 9h + 4

A. h=3

B. h=4

C. h=5

D. h=6

Answers

Answer:

A. h=3

Step-by-step explanation:

Step-by-step explanation:

soln

7h + 10 = 9h + 4

then you correct like terms together

9h - 7h = 10 - 4

2h = 6

2 2

h = 3

the is A
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