5. Three of the vertices of rectangle ABCD are given. Find the coordinates
of point D. Find the value of the variable.
A(3,6), B(6, 7), C(6,3), D(x, y)

Answer:

I was able to get 20 = 3 as my answer. Hope this helps.

Answer:

[tex]4\frac{1}{3}[/tex]

Step-by-step explanation:

Apply PEMDAS order of operations:

→ Parentheses

→ Exponents

→ Multiplication

→ Division

→ Addition

→ Subtraction

________________

[tex]\frac{3}{5}+2^2-\frac{2}{5}\left(8-6\right)\div \:3=4\frac{1}{3}[/tex]

1) Parentheses:

[tex]\left(8-6\right)[/tex]

[tex]8-6[/tex]

[tex]=2[/tex]

[tex]\frac{3}{5}+2^2-\frac{2}{5}\times \:2\div \:3[/tex]

2) Exponents:

[tex]2^2[/tex]

[tex]=4[/tex]

[tex]\frac{3}{5}+4-\frac{2}{5}\cdot \:2\div \:3[/tex]

3) Multiplication/Division:

[tex]\frac{2}{5}\times \:2\div \:3[/tex]

[tex]\frac{2}{5}\times \:2[/tex]

Convert to fraction:

[tex]2=\frac{2}{1}[/tex]

[tex]\frac{2}{5}\times \frac{2}{1}[/tex]

Multiply 2 × 2, and 5 × 1:

[tex]=\frac{4}{5}[/tex]

[tex]\frac{4}{5}\div \:3[/tex]

Convert to fraction:

[tex]3=\frac{3}{1}[/tex]

[tex]\frac{4}{5}\div \frac{3}{1}[/tex]

Apply fraction rule: [tex]\frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}[/tex]

[tex]\frac{4}{5}\times \frac{1}{3}[/tex]

Multiply 4 × 1 and 5 × 3:

[tex]\frac{4}{15}[/tex]

[tex]\frac{3}{5}+4-\frac{4}{15}[/tex]

4) Addition/ Subtraction:

[tex]\frac{3}{5}+4[/tex]

[tex]=\frac{23}{5}[/tex]

[tex]\frac{23}{5}-\frac{4}{15}[/tex]

[tex]=\frac{13}{3}[/tex]

Finally, Convert fraction to mixed number:

[tex]\frac{13}{3}=4\frac{1}{3}[/tex]

___________________________

Step-by-step explanation:

If everything is kept in terms of x then:

For part A the general area would just be side times side.

Here it would be (30x)(4x)

=[tex]120x^{2}[/tex]

For part B since you have 5 sections divide the long side by 5.

[tex]\frac{30x}{5} =6x[/tex]

Then multiply by the other side of the rectangle to find the area of one section.

6x(4x)=[tex]24x^{2}[/tex]

Alternatively you could just divide the large area by 5 to get the area of one section.

[tex]\frac{120x^{2} }{5}=24x^{2}[/tex]

Answer:

For linear function, top to bottom, it's:

f(x)

b

a

x

For mathematical meaning, top to bottom, it's:

output value of an equation

y-intercept

slope or common difference

input value of an equation

Step-by-step explanation:

Answer:

A.   $47,143

Step-by-step explanation:

Given information:

Gross income: Total income before any deductions.

If take home pay is approximately 70% of the annual gross income, to be able to maintain the current lifestyle, 70% of the annual gross income needs to be at least $33,000.

Let x = annual gross income

Therefore:

70% of x = $33,000

⇒ 0.7x = 33000

⇒ x = 33000 ÷ 0.7

⇒ x = 47142.8571...

Therefore, the annual gross income needs to be $47,143 (nearest dollar) to maintain the current lifestyle.

Annual gross income be y

Option A

Answer:

m < 2 = 45°

Step-by-step explanation:

m < 1 and m < 3 are corresponding angles that lie on the same side of the transversal.  Since they are corresponding angles, then it means that they have the same measure.

Therefore, if m < 1 = 135°, then m < 3 = 135°.

Also, the sum of m < 2 and m < 3 = 180° because they are supplementary angles.

Therefore:

m < 2 + m < 3 = 180°

m < 2 + m < 135° = 180°

m < 2 = 180° - m < 135°

m < 2 = 45°

Answer:

(x+8)/(2x+11)

Step-by-step explanation:

g(x)=(x+4)/(2x+3)

g(x+4)=(x+4+4)/(2(x+4)+3) = (x+8)/(2x+8+3) =(x+8)/(2x+11)

Answer:

4

Step-by-step explanation:

:)

Answer:

51.2%

Step-by-step explanation:

I just reduced 20% each time starting with 100, so it became 51.2/100 or 51.2%

Answer:

c 48.8%

Step-by-step explanation:

the % of price reduction = 1-80%×80%×80%

=48.8%

Answer:

3. 3/2

4. -1/3

5. -3.5

6. -6and 2/3

7. -18and 13/24

8. 1/18

9.-2.6

10.-1.83

11. 14.963

Step-by-step explanation:

HOPE THIS HELPS, if not see me in the comments

BRANILIEST PLZZZ

Answer:

the answer is yes it will

Answer:

yes

Step-by-step explanation:

since (x,y) is 2,6, we can take x as 2 and y as 6. For the answer to be yes, y=3x must be equal to the x and y values. Lets plug in the values. Is (6)=3(2)?

3 times 2 is 6! So the answer is yes.

Answer D.

Step-by-step explanation:

D.

Line segment L'M' has a slope of 6 and passes through point H.

Given that line segment LM is dilated by a scale factor of to form L'M'. Statement D). is true.

The dilation of a line segment is longer or shorter in the ratio given by the scale factor. If the scale factor is greater than 1 (k > 1), the image will be larger than the pre-image, making the segments (sides) of the image longer than the corresponding sides of its pre-image (an enlargement).

When a line segment gets dilated, it gets longer or shorter. But, the slope does not change. Also, the center of dilation which lies on the line segment, stays on the line only. Thus, D). is true.

Learn more about dilation of a line segment here

https://brainly.com/question/21426541

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Answer:

22 points

Step-by-step explanation:

If their are fourty points avaliable and each question is worth two points, then there are a total of twenty questions (20 times 2 is 40). Therefore, if he gets nine questions wrong, he would have gotten 11 right. Because we know that each question is two points, we may just multiply 11 by 2, which means he has gotten a score of 22 points!

Area::

Answer:

1. Neither

2. Odd

3. Odd

4. Even

Step-by-step explanation:

Graphically, an equation is even if it is symmetrical across the y-axis.  An equation is odd if it is symmetrical after folded over y and x.  An equation is neither if it fulfills neither requirement.

Algebraically, an equation is even is f(x) = f(-x), and an equation is odd if f(-x) = -f(x).

Hope it helps :) and let me know if you want me to elaborate.

Answer:

Oh ok

Step-by-step explanation:

An expression is defined as a set of numbers, variables, and mathematical operations. The given statement "Double the product of eight and a number" in the form of an expression can be written as 16x.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Let the unknown number be represented by x.

The product means multiplication, therefore, we need to double or multiply the product or multiplication of eight and x.

Thus, The given statement in the form of an expression can be written as,

2(8 × x)

= 2(8x)

= 16x

Hence, the given statement "Double the product of eight and a number" in the form of an expression can be written as 16x.

Learn more about Expression here:

https://brainly.com/question/13947055

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Answer:

472.76

Step-by-step explanation:

6:29

Multiplying decimals: place value (video)

Khan Academy · Khan Academy

Mar 23, 2021

The equation that can be used to represent the cost paid for the staircase frame is 50 + 2.25x

Based on the information given, let the number of rods be represented by x.

Fixed cost = $50

Variable cost = $2.25 × x = 2.25x

Therefore, the equation to calculate the total cost will be:

= Fixed cost + Variable cost

= 50 + 2.25x

Therefore, the equation to represent the fact that the staircase frame cost $2.25 for each rod plus $50 for shipping and handling is 50 + 2.25x

Read related link on:

https://brainly.com/question/25219532

Answer:

6 (2)^ = 6

6 (2)^2 = 24

a = 24

b = 6

y-intercept: (0,6)

y-intercept =

Step-by-step explanation:

6(2)^x

6 (2)^0 = 6 (a number ^0 = 1, 6 times 1 = 6)

6 (2)^2 = 6 x 4 = 24

Answer:

nice

Step-by-step explanation:

srry figure it out its not that complicated to waste my time on it

Answer:

1/2 scale factor.

Step-by-step explanation:

The polygon was dialated with a scale factor of 1/2

Hope this helps!

Answer:

3x-3y+4x+8y

The answer is: 7+5y

Step-by-step explanation:

Step-by-step explanation:

3x-3y+4x+8y

3x+4x-3y+8y

7x+5y Ans

Only like terms can be simplified

Answer:

human

Step-by-step explanation:

i need points sorry

Answer:

100.00-20=80

320.00-20=300

Step-by-step explanation:

Answer:

x+x refers to x being added

For Eg:

5+5=10

x+x refers to x being multiplied

For Eg:

5*5 = 25

So you can see that the product is greater than sum

Not always though,

For Example take 2+2=4

and 2*2 = 4

Interestingly 2^2 is also equal to 4

Hope this helps!

Answer:

3

Step-by-step explanation:

Answer:

bearing of A from C is - 65.24°

the distance |BC| is 187.84 m

Step-by-step explanation:

given data

girl walks AB = 285 m (side c)

bearing angle B = 78°

girl walks AC = 307 m (side a)

solution

we use here the Cosine Law for getting side b that is

ac² = ab² + bc² - 2 × ab × cos(B)     ...............1

307² = 285² + x²  - 2 × 285 cos(78)

x = 187.84 m

and

now we get here angle θ , the bearing from A to C get by law of sines

sin (θ) =

sin (θ) =  0.5985  

θ = 36.76°

and as we get here angle BAC that is

angle BCA = 180 - ( 36.76° + 78° )

angle BCA = 65.24°

and here  negative bearing of A from C so - 65.24°

Step-by-step explanation:

Step-by-step explanation:

I take it that the $69 flat fee is for one event.

and we are talking about one event overall.

"breaking even" means that the sum of all expenses and revenues is 0.

so, with x being the number of attendees,

0 = 18x - 15x - 69

69 = 3x

x = 23

that means, with 23 attendees they will break even, and with every attendee more they will gain.

in the case of 23 attendees the company will have expenses of 69 + 23×15 = $414.

and the revenues are 23×18 = $414