If someone can do these for me that would be awesome!
Ill give lots of points

If Someone Can Do These For Me That Would Be Awesome!Ill Give Lots Of Points

Answers

Answer 1

Answer:

3a. horizontal shift to the left 4 units, reflection on the x-axis

3b. vertical shift down 5 units

4. 4[tex]\sqrt{3}[/tex]

5. 3x²y²[tex]\sqrt{2x}[/tex]

6. [tex]\frac{4\sqrt{35} }{5}[/tex]

7. [tex]\frac{45-5\sqrt{7} }{74}[/tex]

8. 3√2

9. -2√7 + 5√13

10. 7√2 + 2√14

11. 10 + √15 + 2√35 + √21

12. P = 18√6 + 6√15

Step-by-step explanation:

this is gonna be a bit long but bare with me

3a. y = [tex]-\sqrt{x+4}[/tex] < -- this is a horizontal shift to the left 4 units and a reflection on the x-axis. a horizontal shift is located next to the parent function (in this case f(x) = √x). a reflection on the x-axis is located outside of the parent function.

3b. y = [tex]\sqrt{x}[/tex] - 5 < --- this is a vertical shift down 5 units. a vertical shift is located outside of the parent function

4. [tex]\sqrt{48}[/tex] to solve a radicand, we can break it up into known factors, such as numbers that are a perfect square that are factors of the number. you can create a factor tree for this, or you can do it mentally by thinking of terms.

48 can be divided by divided by 16 and 3

16 is a perfect square of 4, which goes outside of the radicand

the answer to [tex]\sqrt{48}[/tex] is 4[tex]\sqrt{3}[/tex]

5. again, to solve [tex]\sqrt{18x^5y^4}[/tex], we break it down into known factors.

lets start with 18: it can be broken down into 9 and 2, 9 is a perfect square of 3

so far the radicand looks like this: 3[tex]\sqrt{2x^5y^4}[/tex]

next we will break down [tex]x^5[/tex]. looking at the exponent, we can see that we have a perfect square in the exponent, which is 4. the square root of 4 is 2. we would leave the leftover x in the radical as it is not a perfect square, and put x² on the outside as it is a result of the perfect square

3x²[tex]\sqrt{2xy^4}[/tex]

finally lets look at [tex]y^4[/tex]. we see that the exponent is a perfect square, 4. the square root of 4 is 2, so y² would go on the outside, and no y terms would be left on the inside. the final radical looks like this:

3x²y²[tex]\sqrt{2x}[/tex]

6. [tex]\frac{4\sqrt{7} }{\sqrt{5} }[/tex]

to solve this, we would need to rationalize the denominator by getting rid of the radical in the denominator. to do this we would multiply the expression by [tex]\sqrt{5}[/tex] and we would get:

[tex]\frac{4\sqrt{35} }{5}[/tex]

we cannot simplify this any further, so this would be our answer

7.  [tex]\frac{5}{9 + \sqrt{7} }[/tex] like the last question, we need to get rid of the square root in the denominator by multiplying the entire expression by [tex]9 - \sqrt{7}[/tex]. we get:

[tex]\frac{5(9-\sqrt{7}) }{(9+\sqrt{7})(9-\sqrt{7})  }[/tex]

the denominator can be multiplied together to get 81 - 7 = 74, and in the numerator we get 5(9-√7) which can be distributed as 45 - 5√7. in total we get:

[tex]\frac{45-5\sqrt{7} }{74}[/tex] this cannot be simplified any further, so this is the answer

8. 3√50 - 3√32 to solve, we need to get the same radical. to do this, we can break each radical up into known terms. √50 can be simplified as 25 and 2. 25 is a perfect square, and is equal to 5. √50 = 5√2

3(5√2) = 15√2

we can break up √32 as 16 and 2. 16 is a perfect square which is equal to 4. √32 = 4√2

-3(4√2) = -12√2

the expression looks like this: 15√2 - 12√2 < subtract normally and we get 3√2 <-- this is our final answer, and we cannot simplify further

9. 2√7 - 4√13 -4√7 + 9√13 < we can combine like terms by adding/subtracting

2√7 -4√7 = -2√7

-4√13 + 9√13 = 5√13

-2√7 + 5√13 this cannot be simplified further, so this is the answer

10. √7(√14 + 2√2) < distribute √7 into the expression

√7 × √14 = √98 = 7√2

√7 × 2√2 = 2√14

the answer is 7√2 + 2√14

11. (√5 + √7)(√20 + √3) < to solve, we can FOIL this out

(√5 + √7)(√20 + √3) = 10

(√5 + √7)(√20 + √3) = √15

(√5 + √7)(√20 + √3) = 2√35

(√5 + √7)(√20 + √3) = √21

we get the following expression: 10 + √15 + 2√35 + √21, we cannot simplify this further so this is our answer

12. the perimeter of a rectangle is P = 2l + 2w. we are given the width 3√6 + 4√15 and the length 6√6 - √15. plugged into the formula we have:

2(3√6 + 4√15) + 2(6√6 - √15) < distribute 2 into each expression:

(6√6 + 8√15) + (12√6 - 2√15) < combine like terms, as in combine terms with like radicals

6√6 + 12√6 = 18√6

8√15 - 2√15 = 6√15

P = 18√6 + 6√15

we cannot simplify this further, so this is the answer

hope this helped!


Related Questions

write the number .00000000000000193 in scientific notation

Answers

Answer:

1.93 x 10^-15

Step-by-step explanation:

You want to move the decimal just past the first real number and count the spaces moved, which is 15. Since the decimal is being moved to the right the spaces moved will be negative. Therefore you remove the zeroes and get 1.93 times 10 to the negative 15th power.

scientific notation means, moving the dot in a way that only one integer is to its left, namely the in this case it'll look like 1.93, so we'll have to move the dot all the way from the left to the right that many slots.

[tex]\bf 0.00000000000000193\implies \stackrel{\textit{moved }\stackrel{\downarrow }{15} \textit{ slots to the right}}{0000000000000001.93}\implies 1.93\times 10^{\stackrel{\downarrow }{-15}}[/tex]

PLS HELP. Find the first four terms of the recursive sequence defined by the following formula:

Answers

Answer:

see explanation

Step-by-step explanation:

Given the recursive formula [tex]a_{n}[/tex] = [tex]\frac{a_{n-1} }{4}[/tex] and

[tex]a_{4}[/tex] = 2 [tex]\frac{1}{4}[/tex] = [tex]\frac{9}{4}[/tex], then

[tex]\frac{a_{3} }{4}[/tex] = [tex]\frac{9}{4}[/tex] ( multiply both sides by 4 )

a₃ = 4 × [tex]\frac{9}{4}[/tex] = 9

[tex]\frac{a_{2} }{4}[/tex] = 9 ( multiply both sides by 4 )

a₂ = 36

[tex]\frac{a_{1} }{4}[/tex] = 36 ( multiply both sides by 4 )

a₁ = 144

The first 4 terms are

144, 36, 9, 2 [tex]\frac{1}{4}[/tex]

The first four terms of the recursive formula are 144, 36, 9, 9/4 .

What is a recursive sequence ?

A recursive sequence is an infinite sequence of numbers where each number in the sequence is equal to a fixed linear combination of one or more of its before or after number. In a recursive sequence, the series of the number present follows a particular sequence of logic.

How to solve the given recursive sequence ?

Given series is an = (an-1)/4 and also a4 = 9/4

Putting n = 4 in the given recursive sequence,

⇒ a3/4 = a4

∴  a3 = a4 * 4 = 9/4 * 4 = 9

Again putting n = 3 in the given recursive sequence,

⇒ a2 = 4*a3

∴  a2 = 4 * 9 = 36

Finally putting n = 2 in the recursive sequence,

⇒ a1 = 4 * a2

∴  a1 = 4 * 36 = 144

Therefore, the first four terms of the recursive formula are 144, 36, 9, 9/4 .

To learn more about recursive formula, refer -

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Don’t know how to do this type of problem !:(

Answers

Answer:

Step-by-step explanation:

Alright.  I can't really explain much but i can get your answer.

AS A DECIMAL: 1.047197551196597746154214461093167628065723133125035273658

As a property:

π/3

Sorry if its wrong... I tried lol

Answer:

The answer would be 2

Step-by-step explanation:

what is the value of z in the diagram?

Answers

Answer:

2

Step-by-step explanation:

Multiple choice
How many degrees are in angle A?

Answers

There are 70 degrees in angle A.

The graph of f(x) = x3 is given. Which equation will translate the graph 1 unit up?

A)
g(x) = x3 - 1


B)
g(x) = x3 + 1


C)
g(x) = -x3 + 1


D)
g(x) = (x - 1)3

Answers

Answer:

B:  g(x) = x^3 + 1

Step-by-step explanation:

Please  use " ^ " to denote exponentiation:  f(x) = x^3.

This graph starts (increasing) in Quadrant III and grows without bound in Quadrant IV.  It passes thru the origin (0, 0).

If we want to translate the graph 1 unit up, then the function f(x) becomes

g(x) = f(x) + 1, or x^3 + 1.

Answer:B:  g(x) = x^3 + 1

Step-by-step explanation:

Need help with this math. find the Slope of a line That contains the points (5,6) (1, 4).​

Answers

Answer:

The slope can 1/2 or 0.5

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

The slope of a line is defined as ...

slope = (change in y)/(change in x)

Given two points, (x1, y1) and (x2, y2), the slope can be computed using ...

slope = (y2 -y1)/(x2 -x1)

It does not matter which points you call point 1 and point 2. You just need to be consistent.

Using the point values in the order given in the problem statement, we have ...

slope = (4 -6)/(1 -5) = -2/-4

slope = 1/2

what is the slope of the line that passes through (-2,2) and (-4,-2)

Answers

Answer:

slope = 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 2, 2) and (x₂, y₂ ) = (- 4, - 2)

m = [tex]\frac{-2-2}{-4+2}[/tex] = [tex]\frac{-4}{-2}[/tex] = 2

decide whether each statement is possible or impossible for some angle theta. tan theata =-35.4 possible or impossible ​

Answers

Answer:

It is possible

Step-by-step explanation:

x = 1.5990374 + π     n , for any integer  n

What is the sum of of the odd numbers from 101 to 299?

Answers

Answer:

400

Step-by-step explanation:

maybe

i hope that helps

the sum of 2 numbers is 21. one number is 18 less than two times the other. find the numbers.​

Answers

hence the numbers are 8 and 13

hope it helps you!!!!!!!!

Final answer:

The two numbers that satisfy the conditions of summing up to 21 and one being 18 less than twice the other are 8 and 13.

Explanation:

To solve the problem, let’s denote the two numbers as x and y. According to the question, the sum of the two numbers is 21, which can be expressed as an equation: x + y = 21. Additionally, we are told that one number is 18 less than two times the other, which gives us another equation: x = 2y - 18.

We can use the method of substitution to solve these equations. First, we will solve the second equation for x, which we already have as x = 2y - 18. Then we will substitute this expression for x in the first equation: (2y - 18) + y = 21. Simplifying we get: 3y - 18 = 21. Adding 18 to both sides gives us 3y = 39. So, dividing both sides by 3 yields y = 13. Now that we have the value of y, we can substitute it back into the equation x = 2y - 18 to get x = 2(13) - 18 which simplifies to x = 8.

Thus, the two numbers in question are 8 and 13.

Fifty years ago, bed bugs were nearly eliminated in the United States by using of pesticides like DDT. Today bed bugs are back in beds and theaters. DDT is no longer used due to environmental issues. Pyrethrums are currently the top choice for bed bug infestations. Pyrethrums are especially useful to us because they generally have a stronger effect on bugs than on humans and animals.
Bed bugs have become resistant to even this chemical pesticide. What happened that allowed the bug population to increase?
A) the chemicals used currently are weaker
B) the chemicals no longer can penetrate bed bugs brains
C) the bed bugs of today are exactly the same as the bed bugs of fifty years ago
D) the bed bugs that survived the DDT years ago, reproduced new generations of chemical resistant offspring

Answers

Answer:

The most reasonable Answer is *D.) the bed bugs that survived the DDT years ago, reproduced new generations of chemical resistant offspring.*

Step-by-step explanation:

Answer:

The answer is D) The bed bugs that survived the DDT years ago, reproduced new generations of chemical resistant offspring.

Step-by-step explanation:

The bed bug population has increased because the bed bugs that survived the DDT years ago, reproduced new generations of chemical resistant offspring.

What is two times the quantity of a number minus 12

Answers

Answer: B Or Option 2

Step-by-step explanation: Your Answer Will Be The Second Choice Have A Great Day!

an equilateral triangle has a perimeter of 36 cm. what is the area?

Answers

Answer:

Each side of this equilateral triangle is 12 cm.

A = (1/2)(12)(6√3) = 36√3 cm²

The equilateral triangle, with a perimeter of 36 cm, has a side length of 12 cm. Its area is [tex]\(36\sqrt{3} \, \text{cm}^2\)[/tex], calculated using the formula [tex]\(\frac{\sqrt{3}}{4} \cdot s^2\)[/tex].

For an equilateral triangle, the perimeter (P) is related to the side length (s) by the formula P = 3s. From this, you can find the side length s by dividing the perimeter by 3:

[tex]\[ s = \frac{P}{3} = \frac{36}{3} = 12 \, \text{cm} \][/tex]

Now, you can use the side length to find the area (A) of the equilateral triangle. The formula for the area of an equilateral triangle is:

[tex]\[ A = \frac{\sqrt{3}}{4} \cdot s^2 \][/tex]

Substitute the value of (s):

[tex]\[ A = \frac{\sqrt{3}}{4} \cdot 12^2 \]\[ A = \frac{\sqrt{3}}{4} \cdot 144 \]\[ A = \frac{144\sqrt{3}}{4} \]\[ A = 36\sqrt{3} \, \text{cm}^2 \][/tex]

Therefore, the area of the equilateral triangle is [tex]\(36\sqrt{3} \, \text{cm}^2\)[/tex].

The following frequency table shows the number of players on the Russian Bears volleyball team that have been
injured for each match this year.
Number of injured players
Number of matches
Find the median number of injured players.


Help me please​

Answers

Final answer:

The median of injured players in a match is found by arranging the number of injuries in each game in ascending order and identifying the middle value. The method slightly varies depending on whether the total number of matches is odd or even. The question lacks specifics for a detailed calculation.

Explanation:

To find the median of injured players, you need to arrange the number of injured players in each match in ascending order and identify the middle value. However, your question doesn't provide the specifics of the frequency table for me to proceed with a step-by-step calculation. The median is found differently depending on whether there's an odd or even number of matches. If there's an odd number of matches, the median would be the value directly in the middle of the organized list. If it's an even number, you'd average the two middle values.

Learn more about Median here:

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I need help in this one please thankyou (explanation) ill give 20pts

Answers

Answer: (y-3)(4y-5)

Step-by-step explanation:

4*15= 60. 60= -12 x -5

4(y-12)(y-5)

(y-3)(4y-5)

CHORDS AND ARCs: Find the value of x

Answers

The answer is probably 14, but I don't know how to prove it correctly, I mean by using the mathematical language. So if it will work, I can try to guess how I got this answer. So if you will draw radiuses, like I did on the screenshot, you will get 2 equal to each other triangles, but the thing is that I have no idea why they should be equal. So if the first step is right the value of x should be equal to 14, as the side below is equal to 14 too. That's it, I guess I helped you at least a little!

The value of x in the chord and arc circle figure is 8[tex]\sqrt{2}[/tex] units.

What is the value of the x in the given circle figure?

Given:

The radius of the circle is given as 9 units.The length of one chord is 2*7 = 14 units.

Find:

The length of the other chord that is represented by x.

Solution:

As it is given that the radius of the circle is 9 units.

So, from here the diameter is 2*9 units = 18 units.

Now, we will draw a line from A to B, we will then Right triangle.

From the right-angled triangle we can calculate the value of x by Pythagoras Theorem, we get;

[tex]x^{2} = (18)^{2} - (14)^{2}[/tex]

[tex]x^{2} = 324 - 196[/tex]

[tex]x^{2} = 128[/tex]

[tex]x = \sqrt{128} = 8\sqrt{2}[/tex]

Hence, the value of x is 8[tex]\sqrt{2}[/tex] units.

To learn more about chords, refer to:

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Find a
a. 4
b. 6
c. 9

Answers

ANSWER

C. 9

EXPLANATION

We use the Altitude Theorem,to find the value of a.

According to the altitude theorem, the height of the triangle of the triangle is equal to the geometric mean of the two segment it creates on the hypotenuse.

[tex]6 = \sqrt{4a} [/tex]

Square both sides to get,

[tex]36 = 4a[/tex]

[tex]9 = a[/tex]

The correct choice is option C.

Answer:

C

Step-by-step explanation:

the answer is 9

How large is the greatest possible error for measurement of 77 inches

Answers

Answer:

0.5

Step-by-step explanation:

Its too hard to explain

Loretta is rolling an unfair 6 sided die with a single number between 1 and 6 on each face. She has a 70% chance of rolling a four. She is playing a game with a friend and knows that if she rolls a four on three of her next five rolls she will lose the game. She wants to determine the probability that she rolls a four on three of her next five rolls.

Which simulation design has an appropriate device and a correct trial?
A) Using a fair coin let heads represent rolling a four and tails represent not rolling a four. Flip the coin five times.
B) Using a table of random digits select a digit between 0 and 9. Let 0-6 represent rolling a four and 7-9 represent not rolling a four. Select five digits.
C) Roll a fair die with a single digit between 1 and 6 on each face. Let four represent rolling a four and 1-3 and 5 and 6 represent not rolling a four. Roll the die five times.
D) Using a table of random digits select a digit between 1 and 6, ignoring digits 0, 7, 8, and 9. Let 4 represent rolling a four and 1-3 and 5 and 6 represent not rolling a four Select five digits.

Answers

Answer:

The answer is option B.

Step-by-step explanation:

Loretta is rolling an unfair 6 sided die with a single number between 1 and 6 on each face and she has a 70% chance of rolling a four.

She is playing a game with a friend and knows that if she rolls a four on three of her next five rolls she will lose the game.

She wants to determine the probability that she rolls a four on three of her next five rolls.

The simulation design that is helpful here is :

B) Using a table of random digits select a digit between 0 and 9. Let 0-6 represent rolling a four and 7-9 represent not rolling a four. Select five digits.

what is the surface area of this design ?

Answers

The surface area is 392in squared

Use the formula d=rt to find the distance traveled by a car driving at an average speed of 65 miles per hour for 4.5 hours. How far would you travel? A. 144.5 miles B. 292.5 miles C. 325 miles D. 487 miles

Answers

B: 292.5; multiply 65x4.5

Using the formula d = rt, the distance traveled by a car moving at 65 miles per hour for 4.5 hours is calculated to be 292.5 miles.

Calculating Distance Traveled

To calculate the distance traveled by a car, we can use the formula d = rt, where d represents distance, r represents average speed (rate), and t represents time.

Given: average speed r = 65 miles/hour, time t = 4.5 hours.

Find: distance d.

We use the formula to solve for d:

d = (65 miles/hour)(4.5 hours) = 292.5 miles

Therefore, the car would travel a distance of 292.5 miles at an average speed of 65 miles per hour over 4.5 hours.

Please help and thank you

Answers

Answer:

I think the answer is B

hurry i need this!!!!!!!!!!!!!

Answers

ANSWER

[tex]h= 2 \cos(\pi(t + \frac{1}{2} )) + 5[/tex]

EXPLANATION

The given equation that models the height is

[tex]h(x) = - 2 \sin(\pi(t + \frac{1}{2} )) + 5[/tex]

This is sine a sine function that is reflected in the x-axis.

This function will coincide with the cosine function with the same amplitude, period, phase shift and vertical translation.

The function that can also model this height is

[tex]h= 2 \cos(\pi(t + \frac{1}{2} )) + 5[/tex]

The last choice is correct.

Factor to find the zeros of the function defined by the quadratic expression.

4x2 − 24x − 108
A) x = 3 or x = 9
B) x = 3 or x = −9
C) x = −3 or x = 9
D) x = −3 or x = −9

Answers

ANSWER

C) x = −3 or x = 9

EXPLANATION

The given quadratic function is:

[tex]4 {x}^{2} - 24x - 108[/tex]

To find the zeros, we equate to zero.

[tex]4 {x}^{2} - 24x - 108 = 0[/tex]

Divide through by 4

[tex] {x}^{2} - 6x - 27 = 0[/tex]

Factor to get,

[tex] {x}^{2} + 3x - 9x - 27 = 0[/tex]

[tex]x(x + 3) - 9(x + 3) = 0[/tex]

[tex](x + 3)(x - 9) = 0[/tex]

Use the zero product property,

[tex]x = - 3 \: or \: x = 9[/tex]

If x = 15 in, y = 20 in, and z = 25 in, what is the surface area of the geometric shape formed by this net?

A. 1,650 in2
B. 2,100 in2
C. 1,100 in2
D. 1,800 in2

Answers

Answer:

the answer is D:  1800 square in

Step-by-step explanation:

find the area of the triangle

area = 1/2 bh

=1/2 (15 inch) (20 inch)

=150 square inch

***then multiply by 2 which gives you 300 square inch***

find the area of the 3 rectangular faces

A=lw

= (25 in) (15 in)

= 375 square inch

A = lw

= (25 in) (20 in)

= 500 square inch

A = lw

= (25 in) (25 in)

= 625 square inch

then add all 3 rectangular faces which equals to 1500 square inch

then add the triangular and rectangular

300 square inch + 1500 square inch = 1800 square inch

Answer:

The answer for study island would be D. 1,800 in2

hope i helped :)

Please explain your answer as well. THX!!

Answers

Answer:

option b

6 C 2 + 6

Step-by-step explanation:

Given in the question that,

number of pink beans = 87

number of purple beans = 74

number of white beans = 35

number of black beans = 70

number of orange beans = 25

number of green beans = 47

Step 1

if two beans selected are different

6 C 2

(6 colours of beans)

Step 2

if two beans selected are same

6 C 1 = 6

(6 colours of beans)

Step 3

total sample space will be

6 C 2 + 6

Rectangle 1 has length x and width y. Rectangle 2 is made by multiplying each dimension of Rectangle 1 by a factor of k, where k>0.
(a) Are Rectangle 1 and Rectangle 2 similar? Why or why not?
(b) Write a paragraph proof to show that the perimeter of Rectangle 2 is k times the perimeter of Rectangle 1.
(c) Write a paragraph proof to show that the area of Rectangle 2 is k^2 times the area of Rectangle 1.

Answers

Answer:

a) Similar

b) Perimeter of rectangle 2 is k times the Perimeter of rectangle 1 (Proved Below)

c) Area of rectangle 2 is k^2 times the Area of rectangle 1 (Proved Below)

Step-by-step explanation:

Given:

Rectangle 1 has length = x

Rectangle 1 has width = y

Rectangle 2 has length = kx

Rectangle 2 has width = ky

(a) Are Rectangle 1 and Rectangle 2 similar? Why or why not?

Rectangle 1 and Rectangle 2 are similar because the angles of both rectangles are 90° and the sides of Rectangle 2 is k times the sides of Rectangle 1. So sides of both rectangles is equal to the ratio k.

(b) Write a paragraph proof to show that the perimeter of Rectangle 2 is k times the perimeter of Rectangle 1.

Perimeter of Rectangle = 2*(Length + Width)

Perimeter of Rectangle 1 = 2*(x+y) = 2x+2y

Perimeter of Rectangle 2 = 2*(kx+ky) = 2kx + 2ky

                                          = k(2x+2y)

                                          = k(Perimeter of Rectangle 1)

Hence proved that Perimeter of rectangle 2 is k times the perimeter of rectangle 1.

(c) Write a paragraph proof to show that the area of Rectangle 2 is k^2 times the area of Rectangle 1.

Area of Rectangle = Length * width

Area of Rectangle 1 = x * y

Area of Rectangle 2 = kx*ky

                                  = k^2 (xy)

                                  = k^2 (Area of rectangle 1)

Hence proved that area of rectangle 2 is k^2 times the area of rectangle 1.

Final answer:

Rectangles 1 and 2 are similar due to proportional dimensions. The perimeter of Rectangle 2 is proven to be k times the perimeter of Rectangle 1 by factoring out the scale factor. Similarly, the area of Rectangle 2 is k² times the area of Rectangle 1, as shown by multiplying the scaled dimensions.

Explanation:

(a) Yes, Rectangle 1 and Rectangle 2 are similar because the sides of Rectangle 2 are proportional to the sides of Rectangle 1. This means that the two rectangles have the same shape but different sizes, which is the definition of similarity in geometry.

(b) To prove that the perimeter of Rectangle 2 is k times the perimeter of Rectangle 1, consider the perimeter of Rectangle 1, which is 2x + 2y. When each dimension is multiplied by k, the new length is kx and the new width is ky, so the perimeter of Rectangle 2 is 2(kx) + 2(ky) = 2kx + 2ky. Factoring out the common factor of k gives k(2x + 2y), which is k times the perimeter of Rectangle 1.

(c) For the area of Rectangle 2, the area of Rectangle 1 is xy. After scaling by k, the new dimensions of Rectangle 2 are kx and ky, so its area is (kx)(ky) = k²(xy), which shows that the area of Rectangle 2 is k² times the area of Rectangle 1.

What is the value of x?



Enter your answer in the box.

Answers

Answer:

50 =x

Step-by-step explanation:

The two angles are vertical angles, so they are equal

2 (x+10) = 3x-30

Distribute the 2

2x+20 = 3x-30

Subtract 2x from each side

2x-2x+20 = 3x-2x-30

20 = x-30

Add 30 to each side

20+30 = x-30+30

50 =x

Answer:

x = 50

Step-by-step explanation:

We are given a diagram showing two vertically opposite angles and we are to find the value of x.

We know that when two lines intersect each other, vertically opposite angles are formed which are equal to each other.

Therefore, we can write them as:

[tex] 2 ( x + 1 0 ) = 3 x - 3 0 [/tex]

[tex] 2 x + 2 0 = 3 x - 3 0 [/tex]

[tex] 3 x - 2 x = 2 0 + 3 0 [/tex]

x = 50

Plz help me with this

Answers

Answer:  [tex]\bold{A)\quad y=5sin\bigg(\dfrac{6}{5}x-\pi\bigg)-4}[/tex]

Step-by-step explanation:

The general form of a sin/cos function is: y = A sin/cos (Bx-C) + D where the period (P) = 2π ÷ B

In the given function, [tex]B=\dfrac{6}{5}[/tex]  →   [tex]P=2\pi \cdot \dfrac{5}{6}=\dfrac{10\pi}{3}[/tex]

Half of that period is: [tex]\dfrac{1}{2}\cdot \dfrac{10\pi}{3}=\large\boxed{\dfrac{5\pi}{3}}[/tex]

Calculate the period for each of the options to find a match:

[tex]A)\quad B=\dfrac{6}{5}:\quad 2\pi \div \dfrac{6}{5}=2\pi \cdot \dfrac{5}{6}=\dfrac{5\pi}{3}\quad \leftarrow\text{THIS WORKS!}\\\\\\B)\quad B=\dfrac{6}{10}:\quad 2\pi \div \dfrac{6}{10}=2\pi \cdot \dfrac{10}{6}=\dfrac{10\pi}{3}\\\\\\C)\quad B=\dfrac{5}{6}:\quad 2\pi \div \dfrac{5}{6}=2\pi \cdot \dfrac{6}{5}=\dfrac{12\pi}{5}\\\\\\D)\quad B=\dfrac{3}{10}:\quad 2\pi \div \dfrac{3}{10}=2\pi \cdot \dfrac{10}{3}=\dfrac{20\pi}{3}[/tex]

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