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2 years ago

20 points, help me, please !!!!!

Mathematics

1 answer:

mrs_skeptik [129]2 years ago

6 0

(a) |-9| + 6 = 9 + 6 = 15

(b) |-9 + 6| = |-3| = 3

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(a + b)² = a² + 2ab + b2 with step by step explanation

Dahasolnce [82]

Step-by-step explanation:

Given: (a+b)²

To prove: (a+b)² = a² + 2ab + b²

Proof:-

(a+b)² = (a+b)(a+b)

(a+b)²=a(a+b)+b(a+b)

(a+b)² = a²+ab+ab+b²

(a+b)² = a²+2ab+b².

3 0

3 years ago

5(x+4)-3x+3=5 solve for x

Elena L [17]

Answer: X= -9

Step-by-step explanation:

Multiply the 5 by x+4 then copy the -3x+3=5. It will be 5x+20-3x+3=5.

Then subtract or add the like terms

5x-3x and 20+3. It will be 2x+23=5

Then add -23 to both sides

It will be 2x+23-23=5-23 then solve it will be 2x=-18 then divide both sides by 2 to find the value of x

2x/2=-18/2 then the final answer is x= -9. I hope it help

4 0

2 years ago

a square has a side length of x. A rectangle has a length that is 4 inches longer than the square and a width that is 2 inches s

vodomira [7]

Answer:

Length of the rectangle is = 8 inches.

Step-by-step explanation:

Given :

Area of square = Area of the rectangle

According to the question:

Length of the square be 'x'.

Its area = (Side)*(Side) = $x^2$ ...equation (i)

Length of the rectangle = $(x+4)$

Width of the rectangle = $(x-2)$

Area of the rectangle =Length * Width

⇒ $(x+4)(x-2)=x^2-2x+4x-8$

⇒ $x^2+2x-8$ ...equation (ii)

Equating both the equation as area of both the figure are equal.

⇒ $x^2+2x-8=x^2$

⇒ $2x-8=0$ ...subtracting $x^2$ both sides

⇒ $2x=8$ ...dividing both sides with 2

⇒ $x=\frac{8}{2}=4$ inches

Plugging the value of x=4 in the length of the rectangle.

We have,

⇒ $(x+4)=(4+4)=8$

So the length of the rectangle = 8 inches.

4 0

3 years ago

At the farmers market, Nathaniel buys two dozen oranges at $3.50 per dozen, four kilograms of apples at $3.25 per kilogram, two

kirill [66]

Nathaniel's total cost is $(3.50 x2 + 3.25 x4 +1.90 x2 +1.20) = $24 he got 5% off so he paid $24- (24* 5/100) =$22.80

3 0

3 years ago

which shows one way to determine the factors of 12x^3 - 2x^2 + 18x - 3 by grouping? A) 2x^2(6x - 1) + 3(6x - 1) B) 2x^2(6x - 1)

Eva8 [605]

Answer:

$2x^2(6x - 1) + 3(6x - 1)$

Step-by-step explanation:

Given

$12x^3 - 2x^2 + 18x - 3$

Required

Factorize

To start with; we need to group the expression into two

$(12x^3 - 2x^2) + (18x - 3)$

Factorize each grouped expression, using their common factor

$2x^2(6x - 1) + 3(6x - 1)$

From the list of given options;

Option A is correct

4 0

3 years ago