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2 years ago

Geometrical prove that a + b x a minus b is equals to a square minus b square

Mathematics

2 answers:

bekas [8.4K]2 years ago

8 0

Answer:

see explanation

Step-by-step explanation:

(a + b)(a - b)

each term in the second factor is multiplied by each term in the first factor, that is

a(a - b) + b(a - b) ← distribute parenthesis

= a² - ab + ab - b² ← collect like terms

= a² - b²

Akimi4 [234]2 years ago

5 0

Step-by-step explanation:

a² + b²

difference of two square

= (a + b)(a - b)

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What are the coordinates of the turning point for the function f(x) = (x - 1)3 - 3? A. (-1, -3)

Naddik [55]

ANSWER

The turning point is

$(1,-3).$

EXPLANATION

The function given to us is

$f(x) = (x - 1) ^{3} - 3$

At turning point,
$f '(x) = 0$

So we need to differentiate the given function and equate it to zero.

We using the chain rule of differentiation, we obtain,
$f '(x) =3 (x - 1) ^{2}$

We equate this to zero to obtain,

$3 (x - 1) ^{2} = 0$

We divide through by 3.

$(x - 1) ^{2} = 0$

We solve for x to get,

$x - 1 = 0$

$x = 1$

We substitute this x-value in to the function to obtain the corresponding y-value of the turning point.

$f(1) = (1- 1) ^{3} - 3$

$f(1) = 0 - 3$

$f(1) = - 3$

Therefore the turning point is

$(1,-3)$

C is the correct answer.

6 0

3 years ago

Read 2 more answers

These two area models represent 2323 and 6969. Choose the equation that shows why 2323 and 6969 are equivalent.

grandymaker [24]

Well lets lay it out

   2323 6969

   first get 2323 and try its multiples.

   2323 x 2 = 4646
   2323 x 3 = 6969

   so what 2323 and 6969 have in common are the multiple 3

Answer: they are equivalent because they can be divided into each other. HOPE I HELPED!! :P <span />

5 0

3 years ago

If r = 9 units and x = 5 units, then what is the volume of the cylinder

GuDViN [60]

Answer:

The answer is volume= 1272

Step-by-step explanation:

volume of a cylinder= pi (3.14)*r^2*h

3.14*9^2*5, 3.14*81*5= 1271.7 when rounded is 1272

5 0

3 years ago

Find the missing length of the triangle. *

Amanda [17]

Answer:

50 ft

Step-by-step explanation:

This is the pythagorean theorem, so you should use the formula...

a squared + b squared = c squared

Then substitute in the numbers... (remember, a and b are the legs, and c is the hypotenuse)

14 squared + 48 squared = c squared

14 squared = 14 x 14 = 196

Now we have 196 + 48 squared = c squared

48 squared = 48 x 48 = 2,304

Now we have 196 + 2,304 = c squared

Add them together - 2,304 + 196 = 2,500

Now we have 2,500 = c squared

We find the square root of 2,500 which is 50

You should now have 50 = c

That is your answer. Don't forget to add units.

50 ft is your hypotenuse (c)

I hoped this helped

6 0

3 years ago

Read 2 more answers

I need help answering this question

tresset_1 [31]

Answer:

The 2nd option is the correct answer.

since you split 12 pieces with 3 people there is 4 pieces per person.

4 0

2 years ago

Geometrical prove that a + b x a minus b is equals to a square minus b square​

Geometrical prove that a + b x a minus b is equals to a square minus b square