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riadik2000 [5.3K]
2 years ago
6

Complete the following: (r-s)^2 = (___)^2 -(___)rs + s^2

Mathematics
1 answer:
kondaur [170]2 years ago
8 0

Answer:

First blank has the value r.

Second blank has the value 2

Step-by-step explanation:

The given equation on the left side is ( r- s)^{2}

Now,<u> ALGEBRAIC IDENTITY </u>states that

( a- b)^{2} = a^{2}  + b^{2} -  2 \times a \times b

Here, comparing a = r and b = s, we get

( r- s)^{2} = r^{2}  + s^{2} -  2 \times r \times s

So, the first blank has the value r.

Second blank has the value 2

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PLEASE HELP!! (50 POINTS)
Marrrta [24]

Answer:

Since pair of opposite sides are parallel and adjacent sides meets at right angles, the quadrilateral COAT is a rectangle.

Step-by-step explanation:

The vertices of the given quadrilateral is C(2,0),O(7,0),A(7,2),T(2,2)

It is sufficient to show that pair of opposite sides are parallel and adjacent sides are perpendicular.

The slope of each side can be found using the formula;


m=\frac{y_2-y_1}{x_2-x_1}


Slope of CO,

M_{CO}=\frac{0-0}{7-2}=\frac{0}{5} =0

A line with a zero slope is a horizontal line.


The slope of OA,

M_{OA}=\frac{2-0}{7-7} =\frac{2}{0}

This slope is undefined.

A line with an undefined slope is a vertical line.

This shows that,the side CO and OA of the quadrilateral meets at right angle.


The slope of AT,

M_{AT}=\frac{2-2}{7-0}=\frac{0}{5}=0


This is also a horizontal line.

The slope of TC,


M_{TC}=\frac{2-0}{2-2} =\frac{2}{0}


This also a vertical line.


This implies that, side TC and side AT meets at Tat right angles and TC is parallel to OA.

Also AT is parallel to TO.


This shows that COAT is a rectangle.

8 0
3 years ago
(−2)⋅(8)−(4)⋅(−3)<br> A. -17<br> B. -3<br> C. -4
Gwar [14]
The Answer To This Problem is: C.-4
8 0
3 years ago
Sam has purchased a $30,000 car for his business. The car depreciates 30% every year. What is the explicit formula for this sequ
Step2247 [10]
If your just figuring out how much the car depreciated just by driving off the lot new...1st year.
$30,000×.30=$9,000

$30,000- $9,000=$21,000.

just take the brand new value of the car multiplied by the .30% of the 1st depreciation...take that answer ($9,000) and subtract it from your orginal value of $31,000.

which gives you $21,000

8 0
3 years ago
Read 2 more answers
Pls help I have no clue
suter [353]

Step-by-step explanation:

y-2 = - 3(x-3)

y - 2 =-3x +9

y -2 +2 = - 3x +9 +2

y = - 3x +11

To find the the coordinate

When x =0

y = - 3(0) +11

y= 11

When y = 0

0 = - 3x +11

Subtract 11 from both sides

-3x = - 11

x = 11/3

The y intercept is 11 so, one of your points will be at (0, 11) while the other will be at (11/3, 11).

4 0
3 years ago
What is the answer !​
kondor19780726 [428]

Answer:

m∠OKG = 95°

Step-by-step explanation:

In the given question,

Angle OKL and angle OKG are the linear pairs.

And we know that sum of linear pair of angles is 180°.

Therefore, m∠OKL + m∠OKH = 180°

85° + m∠OKH = 180°

m∠OKH = 180° - 85°

              = 95°

Therefore, measure of angle OKG = 95° will be the answer.

3 0
3 years ago
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