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1 year ago

Simplify the expression (4a^2 +2ab) - (2a^2 -ab + b^2) what is the coefficient of the term b^2

Mathematics

1 answer:

iragen [17]1 year ago

7 0

In the simplified expression, the coefficient of the term b² is -1.

<h3>Order to solve Math Operations</h3>

When you solve any Math Operations, it is necessary to be attentive to the order of the operations.

First, you should solve the operation insides of Parentheses. After that priority is given to Exponents. Thereon, you can solve multiplication or division operations from left to right. Finally, addition or subtraction from left to right

See the order below

Parentheses
Exponents
Multiplication or Division from left to right
Addition or Subtraction from left to right

The question gives the expression (4a² +2ab) - (2a² -ab + b²). Therefore, for solving the expression you should follow the order of the math operations.

Remove the Parentheses

4a² +2ab -2a² +ab - b²

Add similar terms

2a²+3ab-b²

Like, there are no more similar terms. Therefore, you can represent the expression (4a² +2ab) - (2a² -ab + b²) by the expression 2a²+3ab-b².

Learn more about the algebraic expression here:

brainly.com/question/2164351

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My question is 4318 divided by 7 please tell me

Vikki [24]

1.You should set up the long division.


2 Calculate 43 ÷ 7, which is 6 with a remainder of 1.


3 Bring down 1, so that 11 is large enough to be divided by 7.


4 Calculate 11 ÷ 7, which is 1 with a remainder of 4.

5 Bring down 8, so that 48 is large enough to be divided by 7.


6 Calculate 48 ÷ 7, which is 6 with a remainder of 6.


7 Therefore, 4318 ÷ 7 = 616 with a remainder of 6.

616 with a remainder of 6 or 616.8571

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3 years ago

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Write an equation in slope-intercept form of the line that passes through (-6,4) and (-1,2).

xz_007 [3.2K]

Answer:

Step-by-step explanation:

(-6 , 4) & (-1 , 2)

Slope = $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$= \frac{2-4}{-1-[-6]}\\\\= \frac{-2}{-1+6}\\\\= \frac{-2}{5}$

m = -2/5 & (-6 , 4)

y -y1 = m(x -x1)

$y - 4 = \frac{-2}{5}(x - [-6])\\\\y - 4 = \frac{-2}{5}(x + 6)\\\\y - 4 = \frac{-2}{5}x + 6*\frac{-2}{5}\\\\y = \frac{-2}{5}x -\frac{12}{5}+4\\\\y=\frac{-2}{5}x-\frac{12}{5}+\frac{4*5}{1*5}\\\\y=\frac{-2}{5}x-\frac{12}{5}+\frac{20}{5}\\\\y=\frac{-2}{5}x+\frac{8}{5}$

6 0

3 years ago

What is 0.08 written as a percent

andrew11 [14]

0.08 can be written as 8%

3 0

3 years ago

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Ben uses a compass and a straightedge to bisect angle PQR, as shown below: The figure shows two rays QP and QR with a common end

maria [59]

Answer:

The correct option is;

∠AQS ≅ ∠BQS when AS = BS

Step-by-step explanation:

Given that AQ is equal to BQ. When AS is drawn congruent to BS, we have;

QS is congruent to SQ by reflective property

Therefore;

The three sides of triangle QAS are congruent to the three sides of triangle QBS, from which we have;

∠AQS and ∠BQS are corresponding angles, therefore;

∠AQS ≅∠BQS because corresponding angles of congruent triangles are also congruent.

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2 years ago

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What is the slope of the line that passes through the points (7.-12) and (-9,36)?

REY [17]

Answer:

Step-by-step explanation:

m = slope where

m = rise / run

rise = y2 - y1

run = x2 - x1

where

the given point P1 = (7, -12)

and is in the form of (x1,y1)

and

the given point P2 = (-9,36)

is in the form of (x2,y2)

then

m = ( y2 - y1 ) / ( x2 - x1 )

m = ( 36 - (-12) ) / ( -9 -7 )

m = ( 36 + 12 ) / ( - 16 )

m = 48 / - 16

m = - 3

the slope is negative 3

slope = - 3

4 0

3 years ago