I’m in a rush and I need to find the answer quickly

First find the areas of the two separate rectangles where:

Area of rectangle = length x width

Area of the small rectangle = x(x–4)

Area of small rectangle = [tex]x^{2} -4x[/tex]

Area of big rectangle = (x–2)(2x+x)

Area of big rectangle = (x–2)(3x)

Area of big rectangle = [tex]3x^{2} -6x[/tex]

The total area of the compound shape is 36, therefore:

[tex]3x^{2} -6x +x^{2} -4x=36[/tex]

[tex]4x^{2} -10x-36=0[/tex] (collecting like-terms and by bringing the +36 to the other side)

By dividing this by 2, you get:

[tex]2(2x^{2} -5x-18)=0[/tex]

[tex]2x^{2} -5x-18=0[/tex]

To find the length of AB (x), solve the quadratic by either factorising, completing the square or by using the quadratic formula, etc to solve for x.

[tex]2x^{2} -5x-18=0[/tex]

[tex](2x-9)(x+2)=0[/tex]

[tex]x=\frac{9}{2}[/tex]

[tex]x=-2[/tex]

However, a length cannot be negative, so x must be [tex]\frac{9}{2}[/tex] or 4.5cm, so length AB = 4.5cm.

Hope this helps :)

Answer:

y = [tex]\frac{3}{2}[/tex] x + 9

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 6 ) and (x₂, y₂ ) = (2, 12 )

m = [tex]\frac{12-6}{2-(-2)}[/tex] = [tex]\frac{6}{2+2}[/tex] = [tex]\frac{6}{4}[/tex] = [tex]\frac{3}{2}[/tex] , then

y = [tex]\frac{3}{2}[/tex] x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation.

Using (2, 12 ) , then

12 = 3 + c ⇒ c = 12 - 3 = 9

y = [tex]\frac{3}{2}[/tex] x + 9 ← equation of line

Answer:

Step-by-step explanation:

the answer is 5.76$ , 20% is -1.44$

Answer:

it would be solved by it mom

Answer:

The prime factorization of 51 is the product of prime numbers which results in 51. Thus, the prime factorization of 51 is 51 = 3 × 17.

Answer:

-1/8

Step-by-step explanation:

the slope would be the opposite reciprocal of 8, which would be -1/8

Answer:

Y=-1/8x-5

Step-by-step explanation:

Perpendicular lines are negative reciprocals to each other

Answer:

Kaya rented the limo for 5 hours and 30 minutes.

Step-by-step explanation:

Answer:

Kaya rented the limo for about 5 hours and 30 minutes.

                    Hope this helps! good luck :)

Answer:

B+

3.3 GPA

Step-by-step explanation:

A brainly Would be greatly appreciate!!!

Answer:

87.25

Step-by-step explanation:

Answer:6^21

Step-by-step explanation:

Answer: its B

Step-by-step you multiply 7 x 3 and you get 21

Answer: $6.16

Step-by-step explanation:

100g = $0.948

50g = $0.475

$0.948*6 = $5.688

$5.688 + $0.475 = $6.163

Rounded = $6.16

Answer:

see

Step-by-step explanation:

Answer:

[tex]x + y = 42,[/tex]

[tex]4x + 14y = 568,[/tex]

[tex]x = 2, y = 40[/tex]

Step-by-step explanation:

Learn the FULL explanation at: https://brainly.com/question/25629296

Answer:

w = [tex]\frac{a}{6}[/tex]

Step-by-step explanation:

6w= a

----   ----

6      6

w = [tex]\frac{a}{6}[/tex]

hope this helps! :D

have a miraculous day, and brainliest is immensely appreciated!! <3

Answer 2 1/10

work is shown in the picture above. I hope this helps.

Answer:

60 degrees

Step-by-step explanation:

edge

Answer:

Step-by-step explanation:

This is a proportional relationship as the line passes through the origin.

Therefore you can use one point to determine the slope, (2, 4):

The slope is 2. It is a 2 laps per minute.

Correct answer choice is B

Slope

Rate is 2 laps every minute

Step-by-step explanation:

1- 2x(x -4)

2- 3x(2-3x)

3- 4x²(3x-1)

Solve from right to left

[tex]\\ \sf\Rrightarrow 0.02349[/tex]

[tex]\\ \sf\Rrightarrow 0.0235\times 10^{-1}[/tex]

[tex]\\ \sf\Rrightarrow 2.35\times 10^{-3}[/tex]

Option C is correct

Answer:

x > 12/7

x > 1  5/7

Step-by-step explanation:

7x + 8 > 20

Subtract 8 from each side

7x+8-8 > 20-8

7x > 12

Divide each side by 7

7x/7 > 12/7

x > 12/7

Changing to a mixed number

x > 1 5/7

Answer:

5/3

Step-by-step explanation:

let the number be x

3/5×[x] = 3x/5

3x/5=1

x=1÷3/5

x=5/3

Step-by-step explanation:

⅚ײ/7 = 5/21.

hope this helps you.

Answer: it 5/21

Step-by-step explanation:

this is how i got it

5/6×2/7=  

5 × 2/6 × 7= 10/42

= 10 ÷ 2/42 ÷ 2

= 5/21

.b- 15 = -12

b = 15 - 12

b = 3

. x - 5 = 7

x = 7 + 5

x = 12

. r + 6 = 11

r = 11 - 6

r = 5

. v/15 = 15

v = 15 × 15

v = 225

Answer:

3. b = 3

5. x = 12

7. r = 5

9. v = -225

Step-by-step explanation:

3. b - 15 = -12  

To get b by itself we have to add 15 to both sides.

b = 15-12

b = 3

5. x-5 = 7

To get x by itself we have to add 5 to both sides.

x = 5+7

x = 12

7. r + 6 = 11

To get r by itself we have to subtract 6 to both sides.

r = 11-6

r = 5

9. [tex]\frac{v}{15}[/tex] = -15

To get v by itself we have to multiply [tex]\frac{v}{15}[/tex] by its opposite reciprocal which is [tex]\frac{15}{1}[/tex]

v = -15(15)

v = -225

__________________________________________________________

Hope this helps!!

If I am wrong, please tell me, I enjoy learning from my mistakes:)

Answer:

182

Step-by-step explanation:

If the suit itself is originally 260 and it lowered by 30% of itself, then we need to find 30% of 260, which would be 78. Since we are lowering the price, we subract 260 - 78 and get 182 as our final answer.

I hope this answer helped. Please let me know if I am incorrect. Thank you!

Answer:

it's y=-3x-10

Answer

A

Step-by-step explanation:

The linear function defines the arithmetic sequence is an = -4 + 3(n - 1). The correct option is D.

The sequence in which every next number is the addition of the constant quantity in the series is termed the arithmetic progression.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The given series is -4, -1, 2, 5, 8. The common difference of the series is  calculated as,

d = -1 - ( -4 )

d = -1 + 4

d = 3

The equation will be written as,

an = a₁ + d(n - 1)

an = -4 + 3(n - 1)

Therefore, the linear function that defines the arithmetic sequence is an = -4 + 3(n - 1). The correct option is D.

To know more about arithmetic progression follow

https://brainly.com/question/6561461

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Answer:

The answer is 77

Answer:

y = 3x

Step-by-step explanation: