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tekilochka [14]
2 years ago
7

Q 1.) Expand using identities:i. (a+2b)²ii. (5x-3y)²iii. (3a+4)(3a-4)(9a²+16)​

Mathematics
1 answer:
Ganezh [65]2 years ago
4 0

Step-by-step explanation:

#1.

(a + 2b)²

<em>Using identity (x + y)² = x² + 2xy + y², we get:</em>

= (a)² + (2b)² + 2 × (a) × (2b)

= a² + 4b² + 4ab

= a² + 4ab + 4b² Ans.

#2.

(5x - 3y)²

<em>Using identity (a - b)² = a² - 2ab + b², we get:</em>

= (5x)² + (3y)² - 2 × (5x) × (3y)

= 25x² + 9y² - 30xy

= 25x² - 30xy + 9y² Ans.

#3.

(3a + 4)(3a - 4)(9a² + 16)

<em>Using identity (x + y)(x - y) = x² - y², we get:</em>

= [(3a)² - (4)²][9a² + 16]

= (9a² - 16)(9a² + 16)

= (9a²)² - (16)²

= 81a⁴ - 256 Ans.

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Which equation is not equivalent to the formula r = st?
maksim [4K]
We are given the formula r = st. We evaluate each option to know the correct answer.

A.) S = r/t 
r = st

B.) t = r/s
r = st

C.) s = t/r
r = t/s

<span>D.) r = ts
</span>r = st

Therefore, the correct answer among the choice given is option C. It is not equivalent to the formula.

5 0
3 years ago
Read 2 more answers
Orange juice is sold in cartons in three different size 350 ml selling price $4.20 450 ml selling price $5.35 500 ml selling pri
Lady bird [3.3K]

Answer:

I think it is the $4.20 because if you do the math technically the 4.20 is less for more

Step-by-step explanation:

4 0
2 years ago
What is the completely factored form of f(x)=x3+5x2+4x−6?
Gre4nikov [31]
f(x)=x^3+5x^2+4x-6
f(-3)=(-3)^3+5(-3)^2+4(-3)-6=0\implies x+3\text{ is a factor of }f(x)

Synthetic division yields

-3  |  1   5   4   -6
.    |      -3  -6    6
- - - - - - - - - - - - -
.    |  1   2  -2    0

which translates to

\dfrac{x^3+5x^2+4x-6}{x+3}=x^2+2x-2

with remainder 0. Now by the quadratic formula,

x^2+2x-2=0\implies x=\dfrac{-2\pm\sqrt{2^2-4(1)(-2)}}2=-1\pm\sqrt3

and so

f(x)=x^3+5x^2+4x-6=(x+3)(x-(-1+\sqrt3))(x-(-1-\sqrt3))
3 0
3 years ago
Find the area of a triangle with points (-8,8) , (10,-2), and (-8,-8)
tatuchka [14]

Answer:

144

Step-by-step explanation:

Base:16

Height: 18

Triangle area formula: (bxh)/2

16x18=288

288/2=144

8 0
2 years ago
The cone and cylinder above have the same radius, r, and height, h. The volume of the cone is 69 cubic centimeters. What is the
MatroZZZ [7]

Answer:

207 cubic centimeters

Step-by-step explanation:

Given

volume of cone  = 9 cubic centimeters

Since the cone and cylinder above have the same radius, r, and height, h, then r = h

volume of the cone = 1/3πr²h

69 =  1/3πr²h

πr²h = 69*3

πr²h = 207cubic cm

Since the volume of the cylinder =  πr²h

Hence volume of the cylinder is 207 cubic centimeters

8 0
2 years ago
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