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2 years ago

Factorise fully (a+b)²-c²

Mathematics

2 answers:

nikdorinn [45]2 years ago

6 0

Answer:

(a+b+c) (a+b-c)

Novay_Z [31]2 years ago

5 0

Answer:

(a + b + c)(a + b - c)

Step-by-step explanation:

(a + b)² - c² ← is a difference of squares and factors in general as

x² - y² = (x + y)(x - y)

Here x = a + b and y = c , then

(a + b)² - c²

= (a + b + c)(a + b - c)

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The function LaTeX: f\left(x\right)=2\cdot4^xf ( x ) = 2 ⋅ 4 xcan be used to represent an exponential growth curve. What is the

nikklg [1K]

Option B: 4 is the multiplicative rate of change of the function

Explanation:

The exponential growth function is $f(x)=2(4)^x$

We need to determine the multiplicative rate of change of the function.

First, let us determine the values of function.

x y

1 8

2 32

3 128

4 512

Since, the multiplicative rate of change of an exponential function is the number by which the next term is increasing or decreasing.

Thus, the multiplicative rate of change of the function is given by

Multiplicative rate of change of the function = $\frac{32}{8} =4$

Multiplicative rate of change of the function = $\frac{128}{32} =4$

Multiplicative rate of change of the function = $\frac{512}{128} =4$

Thus, the multiplicative rate of change of the function is 4

Therefore, Option B is the correct answer.

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3 years ago

Solve by completing the square x^2-6x-4=0

Vesna [10]

Answer:

x = 3 ± $\sqrt{13}$

Step-by-step explanation:

x² - 6x - 4 = 0 ( add 4 to both sides )

x² - 6x = 4

To complete the square

add ( half the coefficient of the x- term)² to both sides

x² + 2(- 3)x + 9 = 4 + 9

(x - 3)² = 13 ( take square root of both sides )

x - 3 = ± $\sqrt{13}$ ( add 3 to both sides )

x = 3 ± $\sqrt{13}$

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2 years ago

If the revenue for the week is 2000 and labor costs consists of two workers earning 8 per hour who work 40 hours each what is la

Valentin [98]

$2 * (40 * 8) = 640$

$\frac{640}{2000} *100=32 percent$

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3 years ago

A point lies in quadrant 2. If it is rotated 180 degrees counterclockwise, which quadrant will the point come to rest?

Fiesta28 [93]

The answer is quadrant 4

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3 years ago

Read 2 more answers

For a snack, sameer ate a plum with 32 calories and several strawberries with 4 calor each. If the total number of calories in S

solmaris [256]

6 strawberries.

one plum= 32 calories

one strawberry=4 calories

total calories=56

56-32=24

24 calories come from the strawberries

24÷4=6

Therefor 6 strawberries

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3 years ago

Factorise fully (a+b)²-c² ​

Factorise fully (a+b)²-c²