Use an inequality symbol (<,>,=) -17 blank -1

Square root method please solve <br><br> -3x^2=48

Natalka [10]

Answer:

x=√16

Step-by-step explanation:

-3x^2=48

First, we divide by -3 on both sides of the equation.

x^2=16

Then we find the square root of both sides.

x=√16

8 0

3 years ago

The expression blank is not equivalent to (1 - sin^2(x)) tan(-x)

butalik [34]

Answer:

Hi I think the answer is not sure 5sin(1))tsn

4 0

3 years ago

Suppose the Tower of Hanoi rules are changed so that stones may only be transferred to an adjacent clearing in one move. Let In

Svet_ta [14]

Answer:

$l_n=3^n-1$

Step-by-step explanation:

We will prove by mathematical induction that, for every natural n,

$l_n=3^n-1$

We will prove our base case (when n=1) to be true:

Base case:

As stated in the qustion, $l_1=2=3^1-1$

Inductive hypothesis:

Given a natural n,

$l_n=3^n-1$

Now, we will assume the inductive hypothesis and then use this assumption, involving n, to prove the statement for n + 1.

Inductive step:

Let´s analyze the problem with n+1 stones. In order to move the n+1 stones from A to C we have to:

Move the first n stones from A to C ( $l_n$ moves).
Move the biggest stone from A to B (1 move).
Move the first n stones from C to A ( $l_n$ moves).
Move the biggest stone from B to C (1 move).
Move the first n stones from A to C ( $l_n$ moves).

Then,

$l_{n+1}=3l_n+2$ .

Therefore, using the inductive hypothesis,

$l_{n+1}=3l_n+2=3(3^n-1)+2=3^{n+1}-3+2=3^{n+1}-1$

With this we have proved our statement to be true for n+1.

In conlusion, for every natural n,

$l_n=3^n-1$

8 0

3 years ago

Find the value of x and y

kotykmax [81]

Answer:

x = 8

y = 29

Step-by-step explanation:

By verticle angles theorem, the angles with the measure of ( 4x + 17 ), and the angles with the measure of ( y + 20 ) are equal.

Verticles angles theorem states, when two lines intersect, there are four angles formed. The angles opposite to each other will have the same measure or congruent measures.

Hence one can say that;

4x + 17 = y + 20

Inverse operations;

4x + 17 = y + 20

-17 -17

4x = y + 3

-3 -3

4x - 3 = y

Assuming that lines "m" and "n" are parallel, then the angles with the measure of ( 5x + 9 ) and the angles with the measure of ( y + 20 ) are congruent.

When two lines are parallel and are intersected by another line (transversal line), then the angles that are alternate and interior are congruent, in other words, the same measure.

Based on that, one can say;

5x + 9 = y + 20

Earlier it was found that;

y = 4x - 3

Now substitute that into the previous equation, and solve using simplification and inverse operations;

5x + 9 = 4x - 3 + 20

5x + 9 = 4x + 17

-9 -9

5x = 4x + 8

-4x -4x

x = 8

Back solve to find y

y = 4x - 3

y = 4(8) - 3

y = 32 - 3

y = 29

3 0

3 years ago

One fifth three tenths one half least to greatest

Airida [17]

1/5 < 3/10 < 1/2 i believe thats it i hope this helped:)

8 0

3 years ago

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