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3 years ago

A^p . a^q =a) (pq)^ab) a^(p-q)c) a^(p+q)d)a^(pq)

Mathematics

1 answer:

ivanzaharov [21]3 years ago

7 0

Answer:

a^( p + q )

Step-by-step explanation:

a^p . a^q = a^( p + q )

Note : -

This is actually a formula / identity.

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What's the next number in the series. 65536, 256, 16..?

Artemon [7]

Hi there!

Since
$65536 = {256}^{2}$
and
$256 = {16}^{2}$
, we would need to find
$\sqrt{16}$
, which is 4.

So, the answer is 4.

Hope this helps!

5 0

3 years ago

Which of the following is an equivalent equation obtained by completing the square of the expression below? x^2+6x−8=0 A (x+3)^2

valentina_108 [34]

Answer:

Solving the equation $x^2+6x-8=0$ by completing the square method we get $\mathbf{(x+3)^2=17}$

Option B is correct option.

Step-by-step explanation:

We need to solve the equation $x^2+6x-8=0$ by completing the square method.

For completing the square method: we need to follow: $a^2+2ab+b^2=(a+b)^2$

We are given:

$x^2+6x-8=0$

Solving by completing the square

$x^2+2(x)(?)+(?)^2-8=0$

We need to find ? in our case ? is 3 because 2*3= 6 and our middle term is 6x i,e 2(x)(3)=6x.

So, adding and subtracting (3)^2

$x^2+2(x)(3)+(3)^2-8-(3)^2=0\\(x+3)^2-8-9=0\\(x+3)^2-17=0\\(x+3)^2=17$

So, solving the equation $x^2+6x-8=0$ by completing the square method we get $\mathbf{(x+3)^2=17}$

Option B is correct option.

7 0

3 years ago

What is the solution to this linear system?

andrew-mc [135]

Answer:

C) (14, 8, 10)

Step-by-step explanation:

the values in the parentheses go in order of the letters in the first equation

all you have to do is plug in the values

p+q+r=32. (14)+(8)+(10)=32

p-r=4. (14)-(10)=4

2p+q=36. 2(14)+(8)=36

6 0

3 years ago

A rectangular garden plot measures 9 m by 5 m. Chillies are planted in a rectangular area of the garden that measures 4.5 m by 2

Katena32 [7]

Answer:

20% of the garden is in chillies.

Step-by-step explanation:

$\frac{4.5 \times 2}{9 \times 5} = \frac{9}{45} = \frac{1}{5} = 20\%$

6 0

2 years ago

Which graph best represents an exponential function?

stellarik [79]

Hey there! :)

Answer:

Choice B.

Step-by-step explanation:

We can eliminate each graph:

a). This is what is known as a step function. This is incorrect.

b). This is an exponential function because the graph is shaped like a geometric equation. This means that the rate of change is exponential. This is the correct choice.

c). This is an absolute value function. This is incorrect.

d). This is a graph of a polynomial. This does not represent an exponential function, which makes it incorrect.

3 0

3 years ago

A^p . a^q =a) (pq)^ab) a^(p-q)c) a^(p+q)d)a^(pq)​

A^p . a^q =a) (pq)^ab) a^(p-q)c) a^(p+q)d)a^(pq)