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3 years ago

Find the common ratio of the geometric sequence-15,-30,-60

Mathematics

1 answer:

Law Incorporation [45]3 years ago

6 0

Answer:

Step-by-step explanation:

A geometric sequence means that each term is the previous term multiplied by a certain common ratio. For instance, here, -30 is 2 times -15, and -60 is 2 times -30. Hope this helps!

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WILL GIVE BRAINLIEST, PLEASE HELP

insens350 [35]

Option B is the odd one out

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3 years ago

Read 2 more answers

How fast is the apple traveling when the kinetic energy is 32 joules?

Daniel [21]

Answer

The apple is traveling at 8 meters per second

Explanation

We have the equation that relates the kinetic energy with the velocty:

$K=\frac{v^2}{2}$

Then, to find thevelocity when the apple has 32, we replace K = 32 j:

$\begin{gathered} 32=\frac{v^2}{2} \\ 32\cdot2=v^2 \\ 64=v^2 \\ v=\sqrt{64}=8 \\ \end{gathered}$

Thus, the speed of the apple is 8meter per second

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1 year ago

What is the range of the function shown on the graph above?

nikklg [1K]

Answer:

D: 0 < y < 7

Step-by-step explanation:

The domain is the input (i.e. the x values)

The range is the output (i.e. the y values)

So for the range, look at the y-coordinates of the end points of the line: (-6, 0) and (9, 7) ⇒ 0 < y < 7

4 0

3 years ago

Which line of symmetry for the parabola (x-1)^2= 4(y-1)^?

jonny [76]

This is a vertical parabola, because (x-1)².
Vertex of the parabola (1,1).
So line symmetry is x=1.

4 0

3 years ago

In the isosceles △ABC m∠ACB=120° and AD is an altitude to leg BC . What is the distance from D to base AB , if CD=4cm?

7nadin3 [17]

Correct answer is: distance from D to AB is 6cm

Solution:-

Let us assume E is the altitude drawn from D to AB.

Given that m∠ACB=120° and ABC is isosceles which means

m∠ABC=m∠BAC = $\frac{180-120}{2}=30$

And AC= BC

Let AC=BC=x

Then from ΔACD , cos(∠ACD) = $\frac{DC}{AC} =\frac{4}{x}$

Since DCB is a straight line m∠ACD+m∠ACB =180

m∠ACD = 180-m∠ACB = 60

Hence $cos(60)=\frac{4}{x}$

$x=\frac{4}{cos60}= 8$

Now let us consider ΔBDE, sin(∠DBE) = $\frac{DE}{DB} =\frac{DE}{DA+AB} = \frac{DE}{4+8}$

$DE = 12sin(30) = 6cm$

7 0

4 years ago