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Alenkasestr [34]
3 years ago
12

(b)

tle=" {4}{a}^{2} + {b}^{2} " alt=" {4}{a}^{2} + {b}^{2} " align="absmiddle" class="latex-formula">


​
Mathematics
1 answer:
erastovalidia [21]3 years ago
3 0

Answer:

 A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

         A2 - AB + BA - B2 =

         A2 - AB + AB - B2 =

         A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check :  4  is the square of  2 

Check :  a2  is the square of  a1 

Check :  b2  is the square of  b1 

Factorization is :   (2a + b)  •  (2a - b) 

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valentinak56 [21]
A method that always works is to find the slope of the given line, then find the negative reciprocal of that. Your result will be the slope of the perpendicular line. Using this slope and the given point, fill in the parameters of the point-slope form of the equation of a line.

For m = slope of given line and (h, k) = given point, the perpendicular line will be
  y = (-1/m)(x -h) +k

Often, this equation can be simplified to another appropriate form, such as slope-intercept form (y = mx+b) or standard form (ax+by=c).

_____
The slope of a given line can be found by solving its equation for y. The slope is the coefficient of x in that solution. If the given line is characterized by two points, (x1, y1) and (x2, y2), then its slope is m = (y2-y1)/(x2-x1).

In the unusual case where the given line is vertical (x=<some constant>), the slope of the perpendicular line is zero, and the line you want becomes y=k.
5 0
3 years ago
HELP!
dedylja [7]
15+12+8+x=44
35-44=9
x=9
7 0
3 years ago
Read 2 more answers
It is common to leave a 10% tip when the service was just mediocre. At one such occasion, a patron left a 10% tip on a $23.45 bi
shusha [124]

Answer: $2.3

Step-by-step explanation: well you need to find 10% of 23.45, so multiply .1 by 23.45.

3 0
2 years ago
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Suppose that y varies directly as the square root of x, and that y=21 when x=361. What is y when x=247? (Round off your answer t
igomit [66]

Answer:

17.37

Step-by-step explanation:

y varies inversely as the square root of x

Mathematically:

y = k.root x

We first find k here

To find k, we were made to know that y is 21 and x = 361

k = y/root.x

k = 21/root. 361

k = 21/19

now what is y when x = 247

From y = k.root x

y = 21/19 * root 247

y= 21/19 * 15.72

y = 17.37

8 0
3 years ago
Can someone please help with this
finlep [7]

Answer:

47 bpm

B

Step-by-step explanation:

Draw a trend line (attached).

Reading from the graph, the resting hear rate, in bpm, of a person who exercises an average of 8 hours a week is approximately 47.

The only scatter plot that suggests a linear relationship between x and y is graph B (see second attachment) as the trend line is a straight line.

4 0
2 years ago
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