Triangle STU is rotated 270 clockwise about the origin to create triangle S'T'U'. If point U of triangle STU is a (a,b), which algebraic representation best describes point U' of triangle S'T'U'?

Answers

Answer 1

Answer:

(b, -a)

Step-by-step explanation:

First note that the rule for a rotation by 270° about the origin is (x,y)→(y,−x)

Note that the coordinates were swapped and the x coordinates negated. Similarly;

Given the coordinate of the point U as (a, b), if the triangle is rotated 270degrees clockwise, the resulting coordinate will  be (b, -a)


Related Questions

Sylvia is fencing a rectangular rose garden. The hardware store sells fencing for
$22.50/m. Her family has $250 to spend. What dimensions should Sylvia use to
build a garden with the greatest area?

Answers

Answer:

Total Money= $250

Fence Price=$22.50/m

Metres can buy= $250/22.50= 11.11 metres

What is 2/5 divided by 4

Answers

the answer to the question is 0.1

Answer:

1/10 or 0.1

Step-by-step explanation:

You first rewrite the problem as 2/5÷4/1. Then you flip the second fraction for multiplication: 2/5*1/4. Now you multiply both numerators and denominators to get a final total of 2/20 which equals 1/10 or 0.1.

Find two numbers that multiply to 16 and also add to -8

Answers

Answer:

-4,-4

Step-by-step explanation:

let the numbers be x and y.

x+y=-8

y=-x-8

xy=16

x(-x-8)=16

-x²-8x=16

x²+8x+16=0

x²+4x+4x+16=0

x(x+4)+4(x+4)=0

(x+4)(x+4)=0

x=-4,-4

what is the answer to 4x+7=-2+4x

Answers

0=(-9)

Step-by-step explanation:

4x + 7 = -2 + 4x

4x + 7 = 4x -2

subtract 7 from both sides of the equation.

simplify your answer.

subtract 4x from both sides of the equation.

simplify your answer again.

4x + 7 = 4x -2

___-7 = 4x -7

4x __ = 4x -9

__4x = 4x -9

-4x = -4x -9

__0 = -9

the input is a contradiction: it has no solutions.

1. A spinner has 5 equal sectors numbered 1 through 5. What is the probability that the result of a spin will be an odd number?
* Will be remarked as Brainliest*

Answers

Answer:

60%

Step-by-step explanation:

Possible numebrs that can be picked are 1,2,3,4,5

The only odd numbers are 1,3,5

3 odd numbers out of 5 possible numbers

3/5=0.6=60%

I WILL GIVE BRAINLIEST.

(-a)n is negative

If a is a real number and n is a positive integer, which of the following represents all values of a and n such that the above
statement is true?

A. {a | a is positive) and {n | n is even}
B. {a | a is negative } and for {n| n is odd}
C. {a | a is negative} and {n | n is even}
D. {a | a is positive} and {n | n is odd}



Answers

Answer:

(-a)n is negative  number, and since you did not provide a clear first option, I will assume the answer is none of the above. However, the accurate answer is C

Step-by-step explanation:


The hypotenuse of a right triangle is 10 inches long. The longer leg is 2 inches longer than the shorter leg. Find the side lengths of the triangle.

Answers

Answer: Shorter leg = 6 inches

Longer leg = 6+2 = 8 inches

Step-by-step explanation:

Let the shorter leg bw represented by x.

Therefore, the longer leg will be x+2.

The hypothenuse is 10inches

We should note that in Pythagoras theorem, the square of the longer and shorter side equals the square of the hypothenuse. This will be:

x² + (x+2)² = 10²

x² + x² + 4x + 4 = 100

2x² + 4x = 100 - 4

2x² + 4x = 96

2x² + 4x - 96 = 0

x² + 2x - 48 = 0

x² + 8x - 6x - 48 = 0

x(x + 8) -6(x + 8) = 0

x - 6 = 0

x = 0+6.

x = 6

Shorter leg = 6 inches

Longer leg = 6+2 = 8 inches

HELP PLEASE PLEASE!
18.) Savings: You have decided to put 12% of your weekly paycheck into a
savings account. You made $85.50 las week. How much did you put into
the savings account? *
$12.26
$8.55
$10.26
Other:

Answers

Answer:

$10.26

Step-by-step explanation:

....................

Answer:

712.5

Step-by-step explanation:

Describe fully the single
transformation that takes
shape A to shape B.​

Answers

Búscalo en m a t h w a y hay tiene que aparecer que tengas buen día

Answer:

enlarge by scale factor -1/2, centre 6,5

I need help please!!

Answers

A
B
C
E
F
G
(It’s basically just a game of making pairs)

Hey please help me this is an Angle sum theorem!!!

Answers

Answer:

900° and 1260°

Step-by-step explanation:

The sum of the interior angles of a polygon is calculated as

sum = 180° (n - 2) ← n is the number of sides

(2)

Here n = 7 , then

sum = 180° × 5 = 900°

(3)

Here n = 9 , then

sum = 180° × 7 = 1260°

1/5, 0.25, 20.5%, 4/25, 0.22

Answers

Answer 22%

Step-by-step explanation:

Answer:

so I guess I have to put those numbers in a order.

smallest to largest:

4/25, 1/5, 20.5%, 0.22, 0.25

largest to smallest:

0.25, 0.22, 20.5%, 1/5, 4/25

Step-by-step explanation:

1/5 = 0.2

20.5% = 0.205

4/25 = 0.16

Have a nice day!

Tom is told by his doctor that he needs to lose 15 pounds if Tom now it's 285 pounds then by what percentage should Tom's week decrease

Answers

Answer:

the percentage is 5.56%

Step-by-step explanation:

The computation of the percentage that the tom should decrease is shown below:

As Doctor said tom to reduce 15 pounds

As of now the tom has 285 pounds

So after considering the 15 pounds, it would be

= 285 - 15

= 270 pounds

Now the percentage that should be considered is

= (285 - 270) ÷ (270)

= 5.56%

Hence, the percentage is 5.56%

find the area of the circle. ​

Answers

Answer:

78.5 cm^2

Step-by-step explanation:

1, find the radius (half a diameter) R = 5

3.14 * 5^2

3.14 * 25 = 78.5

HELP ME PLEASE I'll give brainliest

Answers

Answer:

angle bcf = 113 degrees :)

Step-by-step explanation:

angle bca and angle dcf equal 134 in total

360-134= 226

226/2=113

Answer:

113

Step-by-step explanation:

Remark

<BCA and <BCF are on the same straight line. That means when added, they equal 180 degrees.

Givens

<BCA = 67

Two Parallel lines

1 Transversal

Solution

<BCA + < BCF = 180

67 + <BCF  = 180

<BCF = 180 - 67

<BCF = 113

When graphing c=12, would you use an closed circle or opened circle?

Answers

Answer:

closed

Step-by-step explanation:

because its = not -< or>-

PLEASE HELP WILL GIVE BRAINLIEST!!!!!

Answers

Answer is option B.

[tex] \frac{ - 1}{ 25 } [/tex]

Explanation:

5 to the power -2 can be written as

[tex] {( {5}^{2})}^{ - 1} [/tex]

which will be

[tex] {25}^{ - 1} [/tex]

which will be

[tex] \frac{ - 1}{ 25 } [/tex]

Is this correct please help

Answers

i don’t think so but at least you’re tried

Triangle ABC is congruent to triangle A′′B′′C′′ . Which sequence of transformations could have been used to transform triangle ABC to produce ​ triangle A′′B′′C′′ ​ ? ​ Triangle ABC ​ was translated 10 units right and then reflected across the x-axis. ​ Triangle ABC ​ was reflected across the y-axis and then translated 7 units down. ​ Triangle ABC ​ was reflected across the x-axis and then translated 9 units right. ​ Triangle ABC ​ was translated 7 units down and then 9 units right. A coordinate graph with triangle A B C and triangle A double prime B double prime and C double prime. Triangle A B C has points at A begin ordered pair negative 6 comma 2 end ordered pair, B begin ordered pair negative 3 comma 6 end ordered pair, C begin ordered pair negative 3 comma 2 end ordered pair. Triangle A double prime B double prime C double prime has points at A double prime begin ordered pair 6 comma negative 5 end ordered pair, B double prime begin ordered pair 3 comma negative 1 end ordered pair, C double prime begin ordered pair 3 comma negative 5 end ordered pair.

Answers

Answer:

The answer is B

Step-by-step explanation:

Triangle ABC was reflected across the y-axis and then translated 7 units down.

how to do this question ​

Answers

9514 1404 393

Answer:

  7 days

Step-by-step explanation:

(a) Filling in the given information will result in two equations in the two unknowns. Dividing one by the other will tell you the value of b.

n=2

  1.8 = A₀·b²

n=3

  2.4 = A₀·b³

Dividing the second equation by the first gives ...

  2.4/1.8 = (A₀·b³)/(A₀·b²) = b

  4/3 = b

__

(b) Substituting this into the first equation, we can find A₀.

  1.8 = A₀·(4/3)²

  1.8(9/16) = A₀ = 1.0125

A₀ is the value of A when n=0. It is the area of the patch at the beginning of observation, before any days passed.

__

(c) The area will be 7 cm when ...

  1.0125·(4/3)^n = 7

  (4/3)^n = 7/1.0125 . . . . . . . . . . . . divide by A₀

  n·log(4/3) = log(7/1.0125) . . . . . . take logarithms

  n = log(7/1.0125)/log(4/3) ≈ 6.72092

It will take about 7 days for the area of the patch to exceed 7 cm.

If y=−3, then
4y
4+y

=

Answers

Answer:

if Y=-3 and 4y is the equation then the answer is -27

Answer:

4y=-12

4+y=1

Step-by-step explanation:

when y=-3

then you substitute the value of y into the questions

4(-3)=

4×-3

=-12

4+y

4+(-3)

we know that plus(+) multiplied by(×) minus(-) is equal to(=) minus(-)

so therefore,

4-3

=1

can some one answer my question i put up plz and ill mark you the b and give you 50 points

Answers

Answer:

what is your question

Step-by-step explanation:

If the area of a circle is 78.5 cm2, what is the circumference of the circle? Use 3.14 for

Answers

Answer:

25

Step-by-step explanation:

you might wanna use a calculator


PLEASE LOOK AT THE PICTURE I REALLY NEED HELP AND ILL APPRECIATE IT IF SOMEONE HELPS ME

Answers

A,B,D
!!!!!!!!!!!!!!!!!!!!!!!!!!!

State if the triangles in each pair are similar. If so, state how you know they are similar
A. Similar by the sss rule
B.not similar
C. Similar by the aa rule

Answers

Answer:

c) similar by the AA rule

Find X ( please explain how)​

Answers

Answer:

90

Step-by-step explanation:

(5-2)x180= 540 formula to find the sum of interior angles of a polygon

180-70 = 110 lower right angle

180 -60 = 130 lower left angle

110+130+120+90= 450 all known angles sum

540-450 = 90 total minus known gives you x

PLS FAST, WILL GIVE BRANLIEST IF ANSWER

Answers

Answer:

V=πr^2h=π·8^2·6≈1206.37158

Step-by-step explanation:

ITS TIMED... please help. f(x) = -3x - 4
h(x) = 11 + 7x
Using the functions defined above, find the following:
f(x) + h(x)

Answers

Answer:

4x+7 I believe but it could be wrong


A hair salon uses 4 bottles of shampoo for every 3 bottles of conditioner.
The coordinate plane shows a graph of equivalent ratios.
Use the graph to find the number of bottles of conditioner that are used when 16 bottles of shampoo are used.
Answers
A 3 bottles of conditioner
B 6 bottles of conditioner
C 12 bottles of conditioner
D 20 bottles of conditioner

Answers

Answer:

I honestly think it is C.

Step-by-step explanation:

Since "4 bottles of shampoo for every 3 bottles of conditioner" is (4,3), I think the 16 is (16,12) on the graph. It might be worng, might be right. Just go for C.

Given that the slope of the graphed linear function is -3, which formula could represent the function?
es -
A)
y = -3x + 4
B)
y = -3(x + 4)
y = -3x - 4
D)
y = -3(x - 4)

Answers

Answer: y= -3(x+4)

Step-by-step explanation:

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