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3 years ago

Find the product of (2a + 3b) (2a + 3b) using identities

Mathematics

1 answer:

Step2247 [10]3 years ago

7 0

Answer:

4a^2 + 12ab + 9b^2.

Step-by-step explanation:

Use the identity (a + b)(a + b) = a^2 + 2ab + b^2 :

(2a + 3b)(2a + 3b)

= (2a)^2 + 2*(2a)(3b) + (3b)^2

= 4a^2 + 12ab + 9b^2.

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Find the slope of the line that is (a) parallel and (b) perpendicular to the line through the pair of points.

ddd [48]

Answer:

a) The slope of the line is parallel to the another line m=4

b) The slope of the line is perpendicular to the another line m= $\frac{-1}{4}$

Step-by-step explanation:

Step1:-

Slope of a line :-

If θ is the inclination of a line 'l' then tanθ is called the slope or gradient of the line 'l'.The slope of a line is denoted by m=tanθ

The slope of a line given two points m= $\frac{y_{2}-y_{1} }{x_{2} -x_{1} }$

Parallel lines:-

Two non-vertical lines are parallel if and only if their slopes are parallel

Perpendicular lines:-

Two non-vertical lines are perpendicular to each other if and only if their slopes are negative reciprocals of each other.

$m_{2} = \frac{-1}{m_{1} } \\$

Step 2:-

a)The slope of a line when given two points (-1,-4) and (0,0)

$m = \frac{0-(-4)}{0-(-1)} =4$

Two non-vertical lines are parallel if and only if their slopes are parallel

$m_{1} = m_{2}$

Therefore the slope of the line that is parallel to the another line

$m_{1} =m_{2} =4$

Step 3:-

b) Two non-vertical lines are perpendicular to each other if and only if their slopes are negative reciprocals of each other.

$m_{2} = \frac{-1}{m_{1} } \\$

$m_{2} =\frac{-1}{4}$

Therefore the slope of the line is perpendicular to the another line is

$m=\frac{-1}{4}$

3 0

3 years ago

Read 2 more answers

Pls helppp!!! -------

Gelneren [198K]

Answer:

∠ A ≈ 44.42°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos A = $\frac{adjacent}{hypotenuse}$ = $\frac{AC}{AB}$ = $\frac{5}{7}$ , then

∠ A = $cos^{-1}$ ( $\frac{5}{7}$ ) ≈ 44.42° ( to the nearest hundredth )

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3 years ago

Help i needa send this in a few mins

ra1l [238]

Answer:

180 mm

Step-by-step explanation:

height : cases

105 : 7

constant of proportionality = 105/7

height of 12 cases = 12 x 105/7 = 180 mm

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2 years ago

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pochemuha

About 10 songs because if you add up all ten numbers of all the songs then you divide, then you divide again you will get 10 songs

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3 years ago

It is 2021. What year is it 20 years before the next year that is a perfect square?

miv72 [106K]

Answer:

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Step-by-step explanation:

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3 years ago

Find the product of (2a + 3b) (2a + 3b) using identities​

Find the product of (2a + 3b) (2a + 3b) using identities