What is the rule when reflecting across the line y = x

Answer:

x = 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

4x + 9 = 2x + 15

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that 21 does indeed equal 21.

∴ x = 3 is the solution to the equation.

Answer:

the future value of each deposit = ($67,705 x 1/12 x 0.02) x (1 + 1%)ⁿ = $112.84 x 1.01ⁿ

where n = number of quarters (interest is compounded quarterly)

the effective interest = 1.01⁴ - 1 = 4.06%

Assuming that you are going to make monthly payments, then you would need the number of quarters (n) in order to determine the future value. Since the interest is compounded quarterly, each contribution = $112.84 x 3 = $338.52

For example, if you are planning to save money for 5 years (n = 5 x 4 = 20), then the future value of the investment = $338.52 x 22.019 (FV annuity factor, 1%, 20 periods) = $7,453.87

if you want to calculate the total number of contributions (n):

FV annuity factor, 1%, n? = future value / contribution = $10,000 / $338.52 = 29.5404

since you know the interest rate (1%) you have to look at a future value annuity table and search the n for 29.54. This is approximately 26 periods (FV annuity factor = 29.53).

Answer:

0.1 is the answer...............

The common difference [tex](d)[/tex] of  Arithmetic Sequences  [tex]4,4.1,4.2,4.3,4.4[/tex]  is [tex]0.1[/tex] .

Arithmetic Sequence is also known as arithmetic progression and is a sequence of numbers in which the difference between the consecutive terms is constant.

Common difference is the difference between two consecutive terms of an arithmetic progression.

We have arithmetic progression,

[tex]4,4.1,4.2,4.3,4.4[/tex]  

Here,

[tex]a_{1} =4[/tex]

[tex]a_{2} =4.1[/tex]

[tex]a_{3} =4.2[/tex]

[tex]a_{4} =4.3[/tex]

[tex]a_{5} =4.4[/tex]

And,

Common Difference [tex](d)[/tex] [tex]=a_{2} -a_{1} =a_{3} -a_{2} =a_{4}-a_{3}[/tex]

So,

Common Difference [tex](d)[/tex] [tex]= 4.1-4[/tex]

                                       [tex]=0.1[/tex]

So, Common Difference [tex](d)[/tex] is    [tex]0.1[/tex] which is the difference of consecutive terms of Arithmetic Sequences.

Hence, we can say that the common difference [tex](d)[/tex] of  Arithmetic Sequences  [tex]4,4.1,4.2,4.3,4.4[/tex]  is [tex]0.1[/tex] .

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Answer:

The vertices of the image are D' (40, 20), E' (10, 30), F' (15, 5)

Step-by-step explanation:

If the point (x, y) dilated by a scale factor k using the origin as a center of dilation, then its image is (kx, ky)

Let us use this rule to solve our question

∵ The vertices of ΔDEF are D (8, 4), E (2, 6), and F (3, 1)

∵ ΔDEF dilated by a scale factor 5

∴ k = 5

∵ The origin as the center of dilation

→ That means, multiply the coordinates of every point by 5

∴ D' = (8 × 5, 4 × 5)

∴ D' = (40, 20)

∴ E' = (2 × 5, 6 × 5)

∴ E' = (10, 30)

∴ F' = (3 × 5, 1 × 5)

∴ D' = (15, 5)

∴ The vertices of the image are D' (40, 20), E' (10, 30), F' (15, 5)

Answer:

105

Step-by-step explanation:

Angles in triangles are equal to 180. Substract the 2 known angles to get  your answer.

Answer:

86.40

Step-by-step explanation:

First you do 80 x 0.08 to get 6.4, then you add that to 80 to get 86.40 dollars

Hi there! There are no numbers listed, therefore I'm unable to do answer your question. Are there numbers included in the problem?

Answer:

Maria:  (50 bulbs)/(2 hours) = 25 bulbs/hour

Lois:  (45 bulbs)/(3 hours) = 15 bulbs/hour

Together:  25 + 15 = 40 bulbs/hour

(150 bulbs)/(40 bulbs per hour) = 3 3/4 hours

(3/4 hours)(60 minutes/hour) = 45 minutes

Total time:  3 hours 45 minutes

do eat popcorn in a tub

:)

poopy face

Answer:

All congruent figures are similar

Step-by-step explanation:

Congruent means "same" in mathematics and you have evidence to prove it. You can look at two puppies with the exact same fur color and be like "yeah they're the same". If they are the same size and shape they're congruent. This is why the AAA postulate can't work because triangles can have the same angles yet be different sizes. If figures are not congruent, they can't be similar and figures that aren't similar can't be congruent either.

All similar figures are congruent is true about similar figures

We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.

In mathematics, congruent means identical, and you can cite examples to support your claim.

just by looking at them. They are congruent if their dimensions match. Triangles can have the same angles but differ in size, which makes the AAA postulate invalid.

If two figures are not similar, they cannot be congruent, therefore similarly unrelated figures cannot be congruent.

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Final Answer: [tex]b = 0[/tex]

Steps/Reasons/Explanation:

Question: What is the solution to the linear equation [tex]4b + 6 = 2 - b + 4[/tex]?

Step 1: Simplify [tex]2 - b + 4[/tex] to [tex]6 - b[/tex].

[tex]4b + 6 = 6 - b[/tex]

Step 2: Cancel [tex]6[/tex] on both sides.

[tex]4b = -b[/tex]

Step 3: Subtract [tex]-b[/tex] from both sides.

[tex]4b + b = 0[/tex]

Step 4: Simplify [tex]4b + b[/tex] to [tex]5b[/tex].

[tex]5b = 0[/tex]

Step 5: Divide both sides by [tex]5[/tex].

[tex]b = 0[/tex]

~I hope I helped you :)~

Answer:

b = 0

Step-by-step explanation:

(Combine like terms):              4b + 6 = 2 - b + 4  

                                                 4b + 6 = 6 - b    

(Use Addition property of

equality to add b):                    4b + b + 6 = 6

                                                  5b + 6 = 6

(Use Subtraction property of

equality to subtract 6):               5b + 6 - 6 = 6 - 6

                                                           5b = 0

(Divide both sides by 5):           5b = 0

                                                     5     5

Answer:

y = x(40) + (500)

Step-by-step explanation:

slope = 40

y-in.. = 500

slope =

500 - 740 = -240

_______

0 - 6 = -6

slope = 240/6 or 40

Answer:

[tex]x^{2}[/tex] + 3 - 6

Step-by-step explanation:

Answer:

x2+3x-6

Step-by-step explanation:

Answer:

1st staement, second option 2nd statement 3rd option, 3rd staement, 4th option, 4th statement, 1st option

Step-by-step explanation:

hope this is right!

Answer:

scalene triangle

Answer:

I think they would be 7 4/6 & 5 2/8

Step-by-step explanation:

srry if im late!

Answer:

I got this question too! I'm not sure

Step-by-step explanation:

Answer:

D should be the answer!

Answer:

Inverse Function: f^-1(x) = 9/4x + 9

Step-by-step explanation:

To find  the inverse function we can interchange the position of the variables x and y, and then solve for y;

y = 4/9x - 4 => x = 4/9y - 4,

x = 4/9y - 4,

4/9y = x + 4,

y = 9/4x + 9/4(4),

y = 9/4x + 9/ f^-1(x) = 9/4x + 9

Answer:

Is there a way u can show a picture instead of us having to download it?

Answer: 60,004.41 kilograms

Step-by-step explanation:

Given: Weight of Blue whales = [tex]1.362 \times 10^5[/tex] kilograms

= [tex]1.3621\times 100000=136210[/tex]

Weight of blue whale = 2.27 x (weight of largest dinosaur )

[tex]136210=2.27\times \text{(weight of largest dinosaur)}\\\\\Rightarrow\ \text{(weight of largest dinosaur)} =\dfrac{136210}{2.27}\\\\\Rightarrow\ \text{(weight of largest dinosaur)}=60004.41[/tex]

Hence, The weight of largest dinosaur = 60,004.41 kilograms

Answer:

5.66 units

Step-by-step explanation:

Answer:

I think option D.

Step-by-step explanation:

lmk if it's wrong

Answer:

Option A "4(-7k+16k+3)" would be the appropriate choice.

Step-by-step explanation:

On solving the equation, we get

⇒ [tex]4(-7k+16k+3)[/tex]

On applying BODMAS rule, we get

⇒ [tex]4(9k+3)[/tex]

Therefore,

⇒ [tex]4(9k+3)=4(-7k+16k+3)[/tex]

All other given options are not seems to be the equivalent of the given expression "4(9k+3)". So the above is the right approach.

Answer:

5th and 6th of August and will not me I will get

Step-by-step explanation:

ok is a theme for all of us who 6th assignment and we are going too far from changes to our schedule so we will not have a party

Answer:

slope -2

y int (0, 4)

Step-by-step explanation:

Answer:

-12,-2,8,48

Step-by-step explanation:

y=10x-2

If x is -1,

10(-1)-2

is -12

so y = -12.

The four boxes are -12,-2,8,48

Hope this helps plz hit the crown :D

Answer:

8 tsp purple : 3 tsp pink

Step-by-step explanation:

Answer:

y = 2(4) + 1

y = 8 + 1

y = 9

Step-by-step explanation:

Answer:

the answer is 2

Step-by-step explanation:

Answer:

what is the answer i don´t see a question??

Step-by-step explanation: