A rectangle has a width that is twice the length. If the area of the rectangle is represented by the expression 18x² + 48x + 32, what expression represents the length of the rectangle? Explain.

Answer:

Step-by-step explanation:

(27) [tex]7x^2[/tex] + 9x + 2

= [tex]7x^2[/tex] + 7x + 2x + 2

= 7x(x+1) + 2(x+1)

= (7x+2)(x+1)

(29) [tex]8x^2[/tex] - 2x - 1

= [tex]8x^2[/tex] - 4x +2x - 1

= 4x(2x-1) +1(2x-1)

= (4x+1)(2x-1)

(31) [tex]15x^2[/tex] - 16x - 7

= [tex]15x^2[/tex] + 5x - 21x - 7

= 5x(3x + 1) - 7(3x+1)

= (5x-7)(3x+1)

Answer:

Fish A travels faster and by 0.1 meters per second.

Step-by-step explanation:

According to the table, you can see that the seconds are not being measured constantly. To determine the rate of change of meters per second, we can use subtraction on both the numerator and denominator of the expression. Where we divide it into 1 second.

meters/second → 4.8 – 1.6 / 3 – 1 = 3.2 / 2 =

1.6 meters/second.

Now we can compare the rate from fish B by also diving it into 1 second.

3 meters every 2 seconds → 3/2 =

1.5 meters/second.

Since 1.6 > 1.5, Fish A is faster!

And to compare the simplified rates

1.6 – 1.5 = 0.1 meters.

So Fish A is 0.1 meters faster!

Answer:

138.2

Step-by-step explanation:

find area of small circle and subtract from area of big circle

A=pi*r^2

A=pi*12^2

A=144pi

A=pi*r^2

A=pi*10^2

A=100pi

144pi-100pi=44pi

44pi=138.2

Answer:

Step-by-step explanation:

Area of shaded region = A of outer circle - A of inner circle

r of outer circle = 12 cm

r of inner circle = 10 cm

Now,

As we know, area of circle = [tex]\pi r^2[/tex]

=> [tex](\frac{22}{7} * 12^2) - (\frac{22}{7} * 10^2)[/tex]

= 452.57 - 314.28

= 138.29 cm sq

Round off to nearest tenth = 140 cm sq

Hope this helped. Pls mark it the BRAINLIEST!

Answer:

12 and 78 are complementary.

80 and 100 are supplementary.

50 and 50 are neither.

Step-by-step explanation:

Hope it helps! =D

Answer: 10

Step-by-step explanation:

b can be 10 as,

7*3 = 21

7+3 = 10

∵ [tex]7x^2[/tex] + 10x + 3

Answer: 0.501 < 0.510

Step-by-step explanation:

0.510 is larger than 0.501

Answer:

(-2, -6)

Step-by-step explanation:

Answer:

15x + 12

Step-by-step explanation:

Answer: hope this helps ♡

15x+12

Answer:

A. Slope= -3

B. Slope= -4/3

C. Slope= 11/2

D. Slope= undefined

Step-by-step explanation:

The way I solved it was by graphing the points and then counting the rise/run.

Answer: [tex]2x^2[/tex] + 7x + 5

Step-by-step explanation:

--> No. of blocks of [tex]x^2[/tex] = 2

So, 2 * [tex]x^2[/tex] = [tex]2x^2[/tex]

--> No. of blocks of x = 7

So, 7 * x = 7x

--> No. of blocks of 1 = 5

So, 1 * 5 = 5

∴ Hence, [tex]2x^2[/tex] + 7x + 5 is the answer.

Recall that [tex]\cos(x)+\cos(y)=2\cos \left(\frac{x+y}{2} \right)\cos \left(\frac{x-y}{2} \right)[/tex].

[tex]\cos(12x)+\cos(16x)=0 \\ \\ 2\cos(2x)\cos(14x)=0 \\ \\ \cos(2x)\cos(14x)=0[/tex]

If [tex]\cos(2x)=0[/tex], then [tex]x=\frac{\pi}{4}, \frac{3\pi}{4}, \frac{5\pi}{4}, \cdots[/tex].

If [tex]\cos(14x)=0[/tex], then [tex]x=\frac{\pi}{28}, \frac{3\pi}{28}, \frac{5\pi}{28}, \cdots[/tex].

So, the three smallest positive [tex]x[/tex] intercepts are [tex]\frac{\pi}{28}, \frac{3\pi}{28}, \frac{5\pi}{28}[/tex].

Answer: A C and D

Step-by-step explanation:

What I did was look at point A, we see it starts at (-8, 6) this means that if it were to be shifted right 9 and down 4 we would get (1, 2). so, all the answers claiming that the points were shifted right 9 and down 4, or x+9 y-4 are correct.

your answer would be the first option the 3rd and the last option

Answer: The correct answer is 34.5

Step-by-step explanation:

1. She did not need to multiply both sides by -7.5

2.  A negative * a negative will make a positive number

Hope this helps!

Answer:

5.047,  5.105, 5.12, 5.132, 5.406

Step-by-step explanation:

enter Durham right after Raleigh

Answer:

240

Step-by-step explanation:

I think you just add them all together

Answer:

Step-by-step explanation:

[tex]2x^2[/tex] + 13x - 24 to be factorised to find the dimensions:

[tex]2x^2[/tex] + 13x - 24

= [tex]2x^2[/tex] + 16x - 3x - 24

= 2x(x+8) - 3(x+8)

= (2x-3)(x+8)

Length = (2x-3)

Breadth = (x+8)

∴ Increasement in length = 2x - 3 +2 = (2x -1)

Increasement in breadth = x + 8 + 2 = (x+10)

Answer:

Step-by-step explanation:

(a) [tex]x^2[/tex] + 32x + 256

Factorisation by pairing:

([tex]x^2[/tex] + 16x) + (16x + 256)

= x(x+16) + 16(x+16)

= (x+16)(x+16)

∴ Side of the square = (x+16)

(b) [tex]x^2 - 4y^2[/tex]

Identity: [tex]a^2 - b^2[/tex] = (a+b)(a-b)

[tex](x)^2 - (2y)^2\\[/tex]

= (x+2y)(x-2y)

∴ Length of rectangle = (x+2y)

Breadth of rectangle = (x-2y)

(c) [tex]x^2 - 20x + 100[/tex]

[tex]= x^2 - 10x - 10x +100x[/tex]

= x(x-10) -10(x-10)

= (x-10)(x-10)

∴ Side of square = (x-10)

The factorization of the polynomial x²-20x+100 is (x-10)(x-10).

The factorization method uses basic factorization formula to reduce any algebraic or quadratic equation into its simpler form, where the equations are represented as the product of factors instead of expanding the brackets. The factors of any equation can be an integer, a variable, or an algebraic expression itself.

a) x²+32x+256

By using splitting middle term method, we get

x²+16x+16x+256

= x(x+16)+16(x+16)

= (x+16)(x+16)

b) x²-4y²

Using the identity a²-b²=(a+b)(a-b)

Now, x²-(2y)²

= (x+2y)(x-2y)

c) x²-20x+100

By using splitting middle term method, we get

x²-10x-10x+100

= x(x-10)-10(x-10)

= (x-10)(x-10)

Therefore, the factorization of the polynomial x²-20x+100 is (x-10)(x-10).

To learn more about the factorization visit:

https://brainly.com/question/26923098.

#SPJ2

Answer:

Step-by-step explanation:

a is 50-8 =42

1/3 -17 +59=42

3-8=5-47=42

Answer:

x = 275/9

Step-by-step explanation:

Using the cosine half angle formula,

[tex]\cos \frac{\theta}{2}=-\sqrt{\frac{1-\frac{1}{9}}{2}}=-\frac{2}{3}[/tex]

Using the sine half angle formula,

[tex]\sin \frac{\theta}{2}=\sqrt{\frac{1+\frac{1}{9}}{2}}=\frac{\sqrt{5}}{3}[/tex]

So, [tex]a_1=-\frac{2}{3}[/tex] and [tex]a_2=\frac{\sqrt{5}}{3}[/tex].

Answer:

1. 16 inches

2. 1256 square feet

Answer:

A numerical expression contains numbers and operations. An algebraic expression is almost exactly the same except it also contains variables

Answer:

Step-by-step explanation:

Both are similar as they result of both is same. The only difference is their methods of solving them. In numeric expressions, it takes long calculation while in algebraic expressions, we break the expression and then solve it to obtain the result in simpler form.

Hope it helps. Mark my answer the BRAINLIEST!

Answer:

hmm

Step-by-step explanation:

Answer:

42% (Sorry if I'm wrong!)

Answer:

40.7%

Step-by-step explanation:

the question was tricky but I am glad I was able to help

Answer: 27.62

Step-by-step explanation:

plug in 2.3 wherever 'n' is

I'm assuming that the '2' in 8n2 is an exponent

2.3 + 8(2.3)² - 17 =

Using PEMDAS

start out with exponent since there isn't any parenthesis  

(2.3)² = 5.29

2.3 + 8(5.29) - 17

move on to multiplication

8(5.29) = 42.32

2.3 + 42.32 - 17

with addition and subtraction, you do whichever comes first and since this equation starts with addition we'll start there

2.3 + 42.32 = 44.62

then the subtraction

44.62 - 17 = 27.62

Answer:

Step-by-step explanation:

The answer is 27.62

Answer:

17

Step-by-step explanation:

Answer:400

Step-by-step explanation:The formula for volume is L×W×H so, you have to multiply 20×10×2. 20×10 is 200 and 200×2 is 400