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Alika [10]
2 years ago
15

Kiran and Mai are trying to figure out if this equation is an identity, what do you think

Mathematics
1 answer:
ValentinkaMS [17]2 years ago
7 0

Expanding the left side of the equation, it is found that since <u>both sides are equal</u>, yes, it is an identity.

An equality represents an identity if <u>both sides are equal</u>.

In this problem:

(a - b)^4 = a^4 - 4a^3b + 6a^2b^2 - 4ab^3 + b^4

Expanding the left side:

(a - b)^2(a - b)^2 = a^4 - 4a^3b + 6a^2b^2 + 4ab^3 + b^4

(a^2 - 2ab + b^2)(a^2 - 2ab + b^2) = a^4 - 4a^3b + 6a^2b^2 - 4ab^3 + b^4

a^4 - 4a^3b + + 6a^2b^2 - 4ab^3 + b^4 = a^4 - 4a^3b + 6a^2b^2 - 4ab^3 + b^4

Since <u>both sides are equal</u>, yes, it is an identity.

A similar problem is given at brainly.com/question/24866308

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markus wants to get no less than 90 percent on his next test. Let x represent his possible score on the test
kherson [118]
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3 0
3 years ago
What is the area of a rectangle with vertices at (4, 3), (11, 3), (11, 9), and (4, 9)?
Brums [2.3K]

Answer:

The area of a rectangle is 42 units ².

Step-by-step explanation:

As the diagram is given below.

Distance Formula

Distance\ formula = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}

As the rectangle with vertices at A (4, 3), B(11, 3),C (11, 9), and D (4, 9).

Take A (4, 3) to B(11, 3)

AB = \sqrt{(11-4)^{2}+(3-3)^{2}}

AB = \sqrt{(7)^{2}+(0)^{2}}

AB = \sqrt{49}

\sqrt{49} =7

AB = 7 units

As take B(11, 3) to C (11, 9).

BC = \sqrt{(11-11)^{2}+(9-3)^{2}}

BC = \sqrt{(0)^{2}+(6)^{2}}

BC = \sqrt{36}

\sqrt{36} =6

BC = 6 units

As take C (11, 9) toD (4, 9).

CD = \sqrt{(4-11)^{2}+(9- 9)^{2}}

CD = \sqrt{(7)^{2}+(0)^{2}}

CD = \sqrt{49}

\sqrt{49} =7

CD =  7 units

As take  D (4, 9) to  A (4, 3)

DA = \sqrt{(4-4)^{2}+(3-9)^{2}}

DA = \sqrt{(0)^{2}+(-6)^{2}}

DA = \sqrt{36}

\sqrt{36} =6

DA =  6 units

Thus

AB = DC= 7 units

AD = BC = 6 units

Formula

Area of rectangle = Length × Breadth

Length = 7 units

Breadth = 6 units

Put value  in the above

Area of rectangle =  7 × 6  

                             = 42 units ²

Therefore the area of a rectangle is 42 units ².

6 0
3 years ago
Read 2 more answers
Factor the perfect square trinomial 25n² + 40np<br> + 16p^2
Nat2105 [25]

Answer:

(5n+4p)(5n+4p) or (5n+4p)^2

Step-by-step explanation:

i took the test :p

4 0
2 years ago
Just question 1 please!!!!!
Anastaziya [24]

Answer:

see below

Step-by-step explanation:

by rewriting the function we can see that it has a minimum at

y=7x^2+7x-7\Rightarrow y=7(x^2+x-1)\Rightarrow y=7[(x+\frac{1}{2})^2-\frac{1}{4}-1]\Rightarrow

y=7[(x+\frac{1}{2})^2-\frac{5}{4}]\Rightarrow minimum \ (-\frac{1}{2}, -\frac{35}{4})

bye.

7 0
2 years ago
Grapes are sold for $3.20 per bag. if you have $12, how many bags of grapes can you buy?
algol13

Answer:

you can buy 4 bags of grapes with $12.

Step-by-step explanation:

Hope this helps :)

7 0
3 years ago
Read 2 more answers
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