What is the solution to the equation?

9/10 x+4/5=28.3


choices:
x=133/5
x=275/9
x=97/3

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.

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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: 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:

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: 0.501 < 0.510

Step-by-step explanation:

0.510 is larger than 0.501

Answer:

Step-by-step explanation:

a is 50-8 =42

1/3 -17 +59=42

3-8=5-47=42

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.

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

Answer:

12 and 78 are complementary.

80 and 100 are supplementary.

50 and 50 are neither.

Step-by-step explanation:

Hope it helps! =D

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].