This Diagram Shows a Square (6x-1)cm (4x+6)cm. Find the length of the side of the square. Your final answer must say, Side = ...cm

Answer:

13.5x + 5

Step-by-step explanation:

12x + 1.5x - 2 - 7 (you always want to work left to right)

13.5x - (2 - 7) (you are free to use the associative property here to isolate like terms)

13.5x - (-5) (remember a number less in value subtracted from a higher value will result in a negative value; giving you this value for instance.)

13.5x + 5 (now since it was basically subtracting a negative from 13.5x you can technically say the same thing by turning the negative value to a positive however you must do the opposite of subtraction as well.)

The question is incomplete.

However, from the given parameters, a likely question could be to:

1. Write an equation in slope intercept form through (20,-8) and is parallel to 7x - 4y = -5

or

2. Write an equation in slope intercept form through (20,-8) and is perpendicular to 7x - 4y = -5

Answer:

See Explanation

Step-by-step explanation:

First, we calculate the slope of [tex]7x - 4y = -5[/tex]

[tex]7x - 4y = -5[/tex]

Subtract 7x from both sides

[tex]7x-7x - 4y = -5-7x[/tex]

[tex]- 4y = -5-7x[/tex]

Make y the subject

[tex]\frac{- 4y}{-4} = \frac{-5-7x}{-4}[/tex]

[tex]y = \frac{-5-7x}{-4}[/tex]

[tex]y = \frac{5+7x}{4}[/tex]

[tex]y = \frac{5}{4}+\frac{7}{4}x[/tex]

[tex]y = \frac{7}{4}x+\frac{5}{4}[/tex]

The general format of an equation is:

[tex]y= mx + b[/tex]

Where

[tex]m = slope[/tex]

By comparison:

[tex]m = \frac{7}{4}[/tex]

Solving (1): Parallel

Here, we assume that the line is parallel to the given equation.

And as such, it means that they have the same slope

So, we have:

[tex](x_1,y_1) = (20,-8)[/tex]

and

[tex]m = \frac{7}{4}[/tex]

The equation is then calculated as:

[tex]y - y_1 = m(x - x_1)[/tex]

This gives:

[tex]y - (-8) = \frac{7}{4}(x - 20)[/tex]

[tex]y +8 = \frac{7}{4}(x - 20)[/tex]

Open bracket

[tex]y +8 = \frac{7}{4}x - \frac{7}{4}*20[/tex]

[tex]y +8 = \frac{7}{4}x - 7*5[/tex]

[tex]y +8 = \frac{7}{4}x - 35[/tex]

Make y the subject

[tex]y = \frac{7}{4}x - 35-8[/tex]

[tex]y = \frac{7}{4}x -43[/tex]

Solving (2): Perpendicular

Here, we assume that the line is perpendicular to the given equation.

And as such, it means that the following relationship exists between their slope:

[tex]m_2 = -\frac{1}{m_1}[/tex]

Where

[tex]m_1 =m =\frac{7}{4}[/tex] -- as calculated above

Substitute 7/4 for m1 in [tex]m_2 = -\frac{1}{m_1}[/tex]

[tex]m_2 = -\frac{1}{7/4}[/tex]

[tex]m_2 = -\frac{4}{7}[/tex]

So, we have:

[tex](x_1,y_1) = (20,-8)[/tex]

and

[tex]m_2 = -\frac{4}{7}[/tex]

The equation is then calculated as:

[tex]y - y_1 = m(x - x_1)[/tex]

This gives:

[tex]y - (-8) = -\frac{4}{7}(x - 20)[/tex]

[tex]y +8 = -\frac{4}{7}(x - 20)[/tex]

Open bracket

[tex]y +8 = -\frac{4}{7}x + \frac{4}{7}*20[/tex]

[tex]y +8 = -\frac{4}{7}x + \frac{80}{7}[/tex]

Make y the subject

[tex]y = -\frac{4}{7}x + \frac{80}{7}-8[/tex]

[tex]y = -\frac{4}{7}x + \frac{80-56}{7}[/tex]

[tex]y = -\frac{4}{7}x + \frac{24}{7}[/tex]

Take LCM

[tex]y = \frac{-4x + 24}{7}[/tex]

Answer:

18

Step-by-step explanation:

Note that 75% = 75/100 = 3/4, so 3/4 of the marbles must be blue. Let x be amount of blue marbles added. We can write an equation using this.

75% = 3/4 = (3 + x blue marbles)/(3 + 4 + 3 + x total marbles) = (3+x)/(10+x)

Multiplying by 4(10 + x) on both sides:

3(10 + x) = 4(3+x)

30 + 3x = 12 + 4x

18 = x

Therefore, we must add 18 blue marbles for 75% of the marbles to be blue.

I hope this helps! :)

Answer: 25

Step-by-step explanation:

The hypothenuse will be gotten by using Pythagoras formula. This will be:

Hypotenuse² = Opposite² + Adjacent²

Hypotenuse²= 7² + 24²

Hypotenuse² = 49 + 576

Hypotenuse² = 625

Hypotenuse = ✓625

Hypotenuse = 25kilometer

Answer:

7.512

Step-by-step explanation:

because 7.5 is greater than 7.3

Answer:

184.26 i dont exacaly know but i think it is just let me know if im right or wrong

Step-by-step explanation:

Answer: 32

Step-by-step explanation:

we have in this case  right triangle with a leg equal to 24 and a hypotenuse equal to 40

c^2=a^2+b^2

40^2=24^2+b^2

b^2=1600-576=1024

b=sqrt1024=32

===============================================

Explanation:

Consider the standard form Ax+By = C

Anything perpendicular to this is Bx-Ay = D. We swapped the positions of A and B, and changed the plus sign to a minus. This will ensure we get a negative reciprocal slope needed for the perpendicular line. The slope of the first line is -B/A, while the slope of the second line is A/B. The two slopes multiply to -1 assuming neither A nor B are zero.

Also, I've introduced the constant D. There may be cases when C = D, but that isn't always the case.

The given equation is 2x+5y = 10. This tells us A = 2, B = 5, C = 10.

The perpendicular line will be of the form 5x-2y = D, based on the template I mentioned above.

Plug the coordinates (2,-3) into 5x-2y = D to find the value of D

5x-2y = D

5(2)-2(-3) = D

10+6 = D

16 = D

D = 16

So 5x-2y = D updates to 5x-2y = 16

Therefore, 5x-2y = 16 is perpendicular to the original line, and this new line goes through (2,-3)

Answer:

D is the correct choice

Step-by-step explanation:

To get the y-intercept, we write the equation in the standard form

The standard form is ;

y = mx + b

So we have to rewrite the equation this very form

Thus, we have that;

0.05y = 0.4x + 1.25

we simply isolate the y value

To do this, we divide through by 0.05 and the y-intercept value will be ;

1.25/0.05 = 25

Answer: $7.44

9.32(0.25) = 2.33

9.32-2.33=6.99

6.99(0.065)=0.45

6.99+0.45=7.44

Step-by-step explanation:

Answer: $34.13

Step-by-step explanation:

i added a picture of the steps.

Answer:

$440

Step-by-step explanation:

Interest=Principal × Rate × Time/100(Formula)

We have to find the Interest.

Interest = $2000× 5.5 × 4/100

100 Interest = 44000

Interest = 44000/100

Interest = $440(Answer)

simple interest

formula = PRT/100

P = 2000$

rate = 5.5%

time = 4 years

= 2000  x 5.5 x 4 / 100

= 440$

amount = S.I. + P

= 2000 + 440

= 2440

compound interest

formula for amount = P( 1 + r/100 )^n

= 2000( 1 + 5.5/100 )^4

= 2000 (100/100 + 5.5/100)^4

= 2000 ( 105.5/100 )^4

2000 x 105.5/100 x 105.5/100 x 105.5/100 x 105.5/100

= 2 x 105.5 x 105.5/10 x 105.5/100 x 105.5/100

= 211 x 105.5/10 x 105.5/100 x 105.5/100

= 2215.5  x 105.5/100 x 105.5/100

= 2,454.22

compound interest = A - P

= 2454.22 - 2000

= 454.22

Answer:

7x+35

Step-by-step explanation:

7(x+5)

Distribute

7*x + 7*5

7x+35

Final Answer: [tex]7x + 35[/tex]

Steps/Reasons/Explanation:

Question: What is [tex]7(x + 5)[/tex] in distributive property?

Step 1: Expand by distributing terms.

[tex]7x + 7[/tex] × [tex]5[/tex]

Step 2: Simplify [tex]7[/tex] × [tex]5[/tex] to [tex]35[/tex].

[tex]7x + 35[/tex]

~I hope I helped you :)~

Answer:

n= -3

Step-by-step explanation:

First, your're going to subtract from both sides

6n + 21 - 2 1= -3 - 2n - 21

Then simplify

6n = -2n - 24

Then add 2n on both sides

6n + 2n = -2n -24 + 2n

Simplify again

8n = -24

Then divide both sides by 8

8n/8 = -24/8

Then simplify and this is your answer

n= -3

Answer:

[tex]f(x) = 3(x - 1)^{2}[/tex]

Step-by-step explanation:

This function should have a form similar to

[tex]f(x) = ax^{2} +bx+c[/tex]

The function that reminds me the most of the function that is drawn on the grid is the following function......

[tex]f(x) = 3(x - 1)^{2}[/tex]

Answer:

B

A

A

C

Step-by-step explanation:

I know the third answer is correct but the first two were a bit confusing for me do you have anymore context?? like is it supposed to be (0.5)^10

because then 10 would be the power and 0.5 is the exponent.

Answer:

C A B C

Step-by-step explanation:

Answer:

27 grams of sugar

Step-by-step explanation:

If 1/3 candy contains 12 grams of sugar

Then 3/4 candy contains C grams of sugar

C= 3/4 * 12grams➗1/3=3*12*3grams➗4=108grams➗4=27 grams of sugar

Answer:

Well it isnt the negative answers because it's going up because the sales are going up, and your not going up $333.33/ day, so it should be D

Step-by-step explanation:

I hope this helps

Answer:

I think it's 3/10

Step-by-step explanation:

Answer:

The anwsear is B, slashing and lunged :)

Have a great day!

Answer:

C. “slashing” and “lunged”

Step-by-step explanation:

Answer:

x > -10

Step-by-step explanation:

First subtract the 2 from both sides. This gets you to 5x > -50. Last, you divide both sides by 5 and get an answer of x > -10.

Answer:

distributive property

Step-by-step explanation:

Answer:

11.

Step-by-step explanation:

Plug n = 3 into the expression:

3(3) + 2 = 11.

Answer:

no

Step-by-step explanation:

because she just has one less so all she need to do is get one more and then she'd have enough

Answer:

yes, she has enough ribbon.

Step-by-step explanation:

find common denominator for 2 2/3 and 2 3/4 which is 12

2 2/3 becomes 2 8/12 [what she needs]

2 3/4 becomes 2 9/12 [what she has]

she has 1/12 more than she needs.

More pipes less time.

5 pipes means 1h ergo 10 pipes means half, that is 30min.

Hope this helps.

Answer:

It will take 30 minutes to fill the tank with 10 pipes.

Step-by-step explanation:

5 x 2 = 10

It will be half the time because 5 is half of 10

30 minutes.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!