Triangle RST was transformed using the rule (x, y) → (–x, –y). The vertices of the triangles are shown. R (1, 1) S (3, 1) T (1, 6) R' (–1, –1) S' (–3, –1) T' (–1, –6) Which best describes the transformation? The transformation was a 90° rotation about the origin. The transformation was a 180° rotation about the origin. The transformation was a 270° rotation about the origin. The transformation was a 360° rotation about the origin.

Answers

Answer 1
The transformation was a 180° rotation about the origin.
Because, if we take formulas of rotation about the origin:
X1=x*cos£+y*sin£.
Y1=-x*sin£+y*cis£.
And £=180°
Than we recieve
x1=-x
y1=-y
Answer 2

Answer:

B I took the test and got it right

Step-by-step explanation:


Related Questions

Sergei says that 10%
of a number will always be less than 20%
of any other number.

Complete one inequality to support Sergei's claim and one to show that he is incorrect.

Answers

10% of 100 < 20% of 200.

10% of 1000 > 20% of 100.

What are the numbers that make the claims correct?

Percentage is the fraction out of an amount that is usually expressed as a number out of hundred. Percentages are a measure of frequency. The sign used to represent percentages is %.

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NEED HELP FAST!
6.
(08.02 MC)
Which graph best represents the solution to the following pair of equations?

y = 4x + 2
y = x + 5 (1 point)

Answers

4x + 2 = x + 5
4x - x = 5 - 2
3x = 3
x = 1

y = 4x + 2
y = 4(1) + 2
y = 4 + 2
y = 6

solution is (1,6).....1st graph <==

HELP I'M BEING TIMED FOR THIS TEST!!!

Which applies the power of a product rule to simplify (5t)^3?

A. (5t)^3 =5t^3
B. (5t)^3 = 3(5t) = 15t
C. (5t)^3 = 5^3 t^3 = 125t^3
D. (5t)^3 = 5^3t = 125t

Answers

The correct answer is C
You must apply the power to both 5 and t

how do you find the sum of all integers between square root of 12 + square root of 40?

Answers

3 < sqrt(12) < 4
6 < sqrt(40) < 7
So the only integers between those square roots are 5 and 6
Add them together.

Rachel wants to paint her cupboard. The length of the cupboard is 2.5 meters, its width is 1 meter, and its height is 2 meters. How much area will she need to paint if she paints both the bases and all the lateral faces?

Answers

I think Rachel need to paint 19 meters. 

We need to find the L x W, L x H, and W x H.

It appears to be a rectangular prism.

L x W = 2.5 x 1 = 2.5 
L x H = 2.5 x 2 = 5
W x H = 1 x 2 = 2

  2.5
  5
+2
____
9.5 x 2 because the figure has 6 sides not 3 so the answer is :

9.5 x 2 = 19 meters 

P.S. You just had to find the surface area of the rectangular prism ;)

Answer:

the answer is 10 m2

Step-by-step explanation:

how to factorise x squared minus 16

Answers

Not sure if this is right but you could have:

x^2 - 4^2

If you simplify further:

it is also a difference of 2 squares giving you: (x + 4)(x - 4)

Therefore x = -4 or 4
The answer is "(x-4) • (x+4)"

You are a member of a darts team and they have won $1750 prize money in a competition. $70 is to be saved for a celebration party; the remainder is to be divided equally between the 14 team members

Answers

$1750 - $70 = $1680
$1680 / 14 = $120

answer 

each team member receives $120

How many solutions are there for the system of equations shown on the graph?


No solution
One solution
Two solutions
Infinitely many solutions

Help best answer gets brainliest
!!!!!

Answers

ur lines are parallel...this means they never intersect...this means there is no solutions

There is 16 pink stripes and green stripes. Find the ratio o pink stripes to green stripes

Answers

I don't know if you are supposed to find the green but then it would be
16(pink): green(I don't know the green)
If you don't know the green I guess it would be 16:x. X stands for green.

9. Jane has a checkbook balance of $68.00. She then writes two checks, one for $5.00 and one for $62.50. She also deposits $75.00. She then uses her calculator to determine her new balance. Which of the following is the correct series of keys she should press? A. [ON/C] [68] [+] [75] [=] [5] [=] [62.50] [=] B. [68] [+] [75] [–] [62.50] [–] [5] [=] C. [ON/C] [68] [–] [5] [–] [62.50] [+] [75] [=] D. [68] [+] [75] [–] [5] [–] [62.50] [=]

Answers

it is C

 she turns the calculator on, then enters her starting balance them subtracts both checks she wrote then added the deposit.

If 30% of John's photographs were perfect, but 210 photographs were not perfect, then how many photographs were there in all?

Answers

To find the total number of photographs, we use the fact that 30% were perfect, meaning 70% were not perfect. By setting up the equation 0.70x = 210, we can solve for x, finding that there were 300 photographs in total.

If 30% of John's photographs were perfect and 210 were not perfect, determining the total number of photographs involves understanding percentages and basic algebra. Here's the step-by-step breakdown of solving the problem:

Let's call the total number of photographs 'x'.Since 70% of the photographs are not perfect (as 30% are perfect), we know that 0.70x equals the number of not perfect photographs.We can set up the equation: 0.70x = 210.To find 'x', divide both sides of the equation by 0.70: x = 210 / 0.70.This gives us the total number of photographs, x = 300.

Therefore, there were 300 photographs in total.

The total number of photographs is 300.

If 30% of John's photographs were perfect, it means that 70% were not perfect. Since 210 photographs were not perfect, we can set up an equation to find the total number of photographs. Let x represent the total number of photographs. We know that 70% of x equals 210:

[tex]\[ 0.70x = 210 \][/tex]

Solving this equation, we find that

[tex]\( x = \frac{210}{0.70} = 300 \)[/tex]

Therefore, there were 300 photographs in total. This calculation assumes that all photographs are either perfect or imperfect, with no other categories.

a jar of 25 lollipops in a clinic has 7 that are grape, 10 cherry, and 8 orange. If a nurse selects 4 lollipops randomly, what is the probability that they will all be grape?

Answers

The probability of grape is 7/25 or 28%. The total is alway the denominator of the fraction and the amount of each type is the numerator. So the fraction is 7/25. To find the percent you multiple the fraction by 4 because 25*4=100 so the percent is 28% because 7*4=28.

The diameter of the moon is 2155 miles. Find volume of the moon. Round answers to the nearest whole number and leave pi in the answer

Answers

The volume of a sphere with respect to its diameter is:

V=(4π/3)(d^3/8)

V=(πd^3)/6, since d=2155mi

V≈1667978979π  mi^3

Answer:  [tex]1667978979\pi[/tex] cubic miles

Step-by-step explanation:

We know that the shape of moon is sphere.

The volume of sphere is given by :-

[tex]\text{V}=\dfrac{4}{3}\pi r^3[/tex], where r is the radius of sphere.

Given : The diameter of moon = 2155 miles

Then the radius of moon=[tex]\dfrac{2155}{2}[/tex]

Then , the volume of moon is given by :-

[tex]\text{V}=\dfrac{4}{3}\pi (\dfrac{2155}{2})^3=1667978979.2\pi\approx1667978979\pi \text{ cubic miles}[/tex]

Which number line represents all of the values of x for the equation x2 = 16? A number line is shown from negative 10 to 0 to positive 10. There are increments of 2 on the number line, and all these are increments are labeled. A dot is shown on positive 4 and is labeled as p. A number line is shown from negative 10 to 0 to positive 10. There are increments of 2 on the number line, and all these are increments are labeled. A dot is shown on positive 8 and is labeled as p. A number line is shown from negative 10 to 0 to positive 10. There are increments of 2 on the number line, and all these are increments are labeled. A dot is shown on positive 4, another dot is shown on negative 4, and are labeled as p and q, respectively. A number line is shown from negative 10 to 0 to positive 10. There are increments of 2 on the number line, and all these are increments are labeled. A dot is shown on positive 8, another dot is shown on negative 8, and are labeled as p and q, respectively.

Answers

Quite simple when you take out the useless stuff you added in. Its 16

Answer: Its the 3rd choice.

write general rule for adding
a. two integers with the same sign.
b. two integers with different signs.
c. two integers that vary in sign.

Answers

a. Add regularly and give the sum the sign of both numbers
b. Subtract, and give the difference the sign of the number with the greatest absolute value.

Final answer:

When adding integers, if the signs are the same, add the numbers and keep the sign. If the signs are different, subtract the smaller number from the larger number, using the sign of the larger number.

Explanation:

To offer some general rules for adding integers, consider the following scenarios:

When we add two integers with the same sign, we add the absolute values of the numbers and keep the common sign. For example, (-4) + (-3) equates to -7, as they are both negative. If we are combining two integers with different signs, we subtract the smaller number from the larger number and use the sign of the larger number. For instance, 7 + (-2) equals 5, because 7 is larger and positive. When adding two integers that vary in sign, it suggests that one number could be positive and the other negative or vice-versa. Thus, we follow the second rule mentioned above. For example, -6 + 3 gives -3 because 6 is bigger and negative.

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For which value or values are the expressions 15k + 9 and 3(2k + 3) + 9k equivalent? A) no values B) 3 C) 3,5 and 8 or D) all values

Answers

15k + 9 = 3(2k + 3) + 9k
15k + 9 = 6k + 9 + 9k
15k + 9 = 15k + 9
0 = 0
D) all Values

Final answer:

The expressions 15k + 9 and 3(2k + 3) + 9k are equivalent for all values of k because after simplifying the second expression, it matches the first expression exactly.

Explanation:

To determine for which value or values the expressions 15k + 9 and 3(2k + 3) + 9k are equivalent, we must first simplify the second expression.

Simplify 3(2k + 3) + 9k:
= 6k + 9 + 9k
= 15k + 9.

Now we compare the simplified forms of both expressions. It is clear that they are identical in form, meaning that they are equivalent for all values of k. No additional values are needed; the expressions are universally equivalent as they simplify to the same equation.

Anna took Allie out for lunch their lunches cost $13.28 and $14.25 including tax and tip and a paid with $40 how much change did Anna receive

Answers

13.28 + 14.25 = 27.53
40.00 - 27.53 = 12.47
13.28+14.25= 27.53
40-27.53= 12.47
Anna received $12.47 back

you can buy 3 apples at quick market for $1.17, you can buy 5 of the same apples at Stop and Save for $2.40.

a.Which store is the better buy?

b. How much will you save per apple if you purchase it from the cheaper store?

Answers

The answer to this question is 3 apples

The next even integer that is larger than 2n, if 2n is an even integer.

Answers

if 2n is an even integer, then the next even integer that is larger than 2n will be  2n+2

Find the quotient of 9 divided by 5/8 .

Answers

9 / 5/8 =

9/1 / 5/8 =

9/1 * 8/5 = 72/5 = 14 2/5

Select each quadrilateral that has exactly four right angles.
trapezoid
isosceles
trapezoid
parallelogram
rhombus
rectangle

Answers

The answer is rectangle, you know this because everything else is either too large an angle or too small

Answer:

Square, and Rectangle

Step-by-step explanation:

the others don't have a 90 degree angle

Why is the polynomial, 4x^2y + 5xy classified as a 3rd degree binomial?

Answers

The polynomial has two terms. The exponent of the first term is two. The exponent of the second term would be 1 because 5xy^1 is equal to 5xy.

Which statement could be used to explain why f(x) = 2x – 3 has an inverse relation that is a function?

Answers

Since f(x) has a domain and range of all real numbers, it's inverse also has a domain and range of all real numbers.  Furthermore since every value pair of (x,y) for f(x) is unique, its inverse will also have the inverse unique value pairs (y,x).

Answer:

f(x) is a one to one function

Step-by-step explanation:

After a devastating winter, when thousands of fish died, an environmental scientist has replenished the trout stock in a fishing pond. He started with 5,000 baby trout and has finished a count to find that, in 4 years, the population is estimated to be 8,500. Assuming an exponential growth pattern, what is the annual growth rate (rounded to the nearest tenth of a percent) of the new trout population?

Answers

Final answer:

The annual growth rate of the new trout population is approximately 12.0%.

Explanation:

To find the annual growth rate of the trout population, we can use the exponential growth formula:

P = P0ert

where P is the final population, P0 is the initial population, r is the annual growth rate, and t is the number of years.

In this case, we have P = 8,500, P0 = 5,000, and t = 4. Plugging these values into the formula, we can solve for r:

8,500 = 5,000e4r

Divide both sides by 5,000:

1.7 = e4r

Take the natural logarithm of both sides:

ln(1.7) = 4r

Divide both sides by 4:

r ≈ ln(1.7)/4 ≈ 0.120

Final answer:

The annual growth rate of the trout population is calculated using the formula for exponential growth. By substituting the given values into the formula, the growth rate is determined to be approximately 13.41% per year. After rounding, the annual growth rate is 13.4%.

Explanation:

To calculate the annual growth rate of the trout population, we can use the formula for exponential growth, which is P = P0e(rt), where:

P is the final population size,

P0 is the initial population size,

r is the annual growth rate,

t is the time in years.

We know that P0 = 5,000 (initial population), P = 8,500 (final population), and t = 4 years. To find r, we rearrange the formula to solve for r:

r = (ln(P/P0)) / t

Plugging in the values gives us:

r = (ln(8500/5000)) / 4 = ln(1.7) / 4 ≈ 0.1341 or 13.41% per year

Rounding to the nearest tenth of a percent, the annual growth rate is 13.4%.

Frankie purchases a 3 1/2 pound bag of chicken.he uses 1 1/3 of chicken for fajitas how many pounds of chicken are left?

Answers

3 1/2=7/2 1 1/3=4/3. 7/2=2×3=6=7×3=21.3×2=6=4×2=8

21-8=13=13/6 or 2 1/6
3.5-1.33
=2.16 
[13/6]

Just subtract what he used from what he had to calculate what he has.

name the property the equation illustrate -5+(8+10)=(-5+8)+10

Answers

associative property
Hey there!

Okay so what you need to know is the the property that this equation illustrates... simple!

The property that is illustrated here is known as the Associative Property of Addition.

I hope that helped!

Please vote me for Brainliest if there is a second answer! ^__^

Consider 8x2 - 48x = -104. Write the equation so that a = 1

Answers

Answer:

x² + (-6x) = -13

ALSO the second answer,
x² + (-6x) __ = -13 +  __
Both blanks are 9
Third answer, factor the trinomial and simplify:

(x + -3 )²= -4

Use the square root property of equality to solve

(x  – 3)2 = –4.

The solutions are

The correct option is   C.   3 ± 2i.

:D

Final answer:

The equation 8x² - 48x = -104 can be rewritten with 'a' = 1 by dividing all terms by 8 and rearranging to the form ax² + bx + c = 0, yielding x² - 6x + 13 = 0.

Explanation:

To rewrite the equation so that 'a' = 1, it would be useful to adjust the coefficients in your equation first. Starting with the given equation: 8x² - 48x = -104. We can divide all terms by 8 to normalize the 'a' coefficient.

Doing that gives us: x² - 6x = -13. Now, to write the equation in the form ax² + bx + c = 0, we can add 13 to both sides which results in: x² - 6x + 13 = 0. Now your equation is in the standard quadratic form with 'a' = 1.


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How many numbers between 1 and 100 are multiples of both 2 and 7

Answers

7. The formula is : [tex] 98-14=84 [/tex] and then [tex]\frac{84}{14} [/tex] and then [tex]6+1=7[/tex].

The reason behind it is 14 is the least common multiple of 7 and 2 and 98 is the largest 2 digit multiple of 14. Subtract 98 and 14 and then divide by 14 to get 6 and then add 1. You will get 7 which is our answer!

Final answer:

There are 7 numbers between 1 and 100 that are multiples of both 2 and 7.

Explanation:

To find the numbers between 1 and 100 that are multiples of both 2 and 7, we need to find the common multiples of these two numbers. The multiples of 2 are 2, 4, 6, 8, 10, and so on. The multiples of 7 are 7, 14, 21, 28, and so on.

We can see that the common multiples of 2 and 7 are 14, 28, 42, 56, 70, 84, and 98. There are a total of 7 numbers between 1 and 100 that are multiples of both 2 and 7.

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Restaurant sales totaled 38,676 for the week. Your customer count was 7,325. What did the average customer spend for the week

Answers

divide total by number of customers

38,676/7,325 = 5.28

 average was $5.28

In a set of integers between 18 and 95, inclusive, how many are divisible by 6 but not 12?

Answers

18≤12n≤95  divide all term by 12

1.5≤n≤7.9

n=[2,7]

So multiples of 12 are 7-2+1=6

18≤6n≤95 divide all terms by 6

3≤n≤15.8

3≤n≤15

So multiples of 6 are 15-3+1=13

So there are 13-6=7 multiples of 6 that are not multiples of 12 in the set of integers [18,95]
18≤12n≤95  divide all term by 12

1.5≤n≤7.9

n=[2,7]

So multiples of 12 are 7-2+1=6

18≤6n≤95 divide all terms by 6

3≤n≤15.8

3≤n≤15

So multiples of 6 are 15-3+1=13

So there are 13-6=7 multiples of 6 that are not multiples of 12 in the set of integers [18,95]
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