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3 years ago

2

Mathematics

1 answer:

s2008m [1.1K]3 years ago

3 0

Answer:

Step-by-step explanation:

<u>The midpoint of a segment</u>

Given points C(xc,yc) and B(xb,yb), the coordinates of the midpoint M can be found knowing that:

$\overline{CM} = \overline{ MB}$

Applying that relation in both axes separately, we can write:

$\displaystyle x_m=\frac{xc+xb}{2}$

$\displaystyle y_m=\frac{yc+yb}{2}$

Knowing the coordinates of the midpoint and B, we can find the coordinates of the other extreme C solving both equations for the required variable:

$x_c=2x_m-x_b$

$y_c=2y_m-y_b$

Plugging in the known values: M=(-1,1) and B=(3,4):

$x_c=2*(-1)-3=-2-3=-5$

$y_c=2*1-4 = 2-4=-2$

The coordinates of C are (-5,-2)

a(-5,-2)

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Which formula can be used to describe the sequence?

mafiozo [28]

Answer:

The formula that can be used to describe the given sequence is $f(x)=-4(6)^{x-1}$

Step-by-step explanation:

Given : sequence -4, −24, −144,...

We have to find the formula that can be used to describe the given sequence -4, −24, −144,...

A geometric sequence is a sequence in which each higher term is multiplied by a constant number called common ratio.

Written as a, ar , ar², ar³., ....

and general term is calculated as $a_n=ar^{n-1}$

Where a is first term and r is common ratio.

Consider the given sequence -4, −24, −144,...

We find the common ratio ,

$a=-4, \\\\ar=-24,\\\\\ ar^2=-144$

Thus, common ratio is given as $r=\frac{ar}{r}=\frac{-24}{-4}=6$

Thus, the given sequence is a geometric sequence.

The general term is given by $a_n=ar^{n-1}$

Put a = -4 , r = 6

We have

$a_n=-4(6)^{n-1}$

Thus, the formula that can be used to describe the given sequence is $f(x)=-4(6)^{x-1}$

5 0

3 years ago

Read 2 more answers

HELP PLSSS I NEED THIS ASAP

Kamila [148]

Multiplying the linear expressions, the correct sequence is given as follows:

5x(-3 -7x)

(5x)(-3) + (5x)(-7x)

-15x - 35x²

<h3>How are linear expressions multiplied?</h3>

They are multiplied applying the distributive property, in which all the terms are multiplied and the like terms are combined.

Hence:

5x(-3 -7x)

(5x)(-3) + (5x)(-7x)

-15x - 35x²

Hence the last option is correct.

More can be learned about the multiplication of linear expressions at brainly.com/question/14758247

#SPJ1

8 0

2 years ago

−2x − 10 = 15 I'm really un smart

spin [16.1K]

Answer:

x = -12.5

Step-by-step explanation:

your goal is to get x alone so

-2x - 10 = 15

(add ten to both sides)

-2x = 25

(divide -2 to both sides)

x = -12.5

remember that whatever u do to one side of the equation, you have to do to the other so they even out!

6 0

3 years ago

Read 2 more answers

What is the measure of c in the parallelogram shown

finlep [7]

Answer: B. 45 degrees

Step-by-step explanation:

3 0

3 years ago

A bag contains 3 red balls and 1 blue ball. A second bag contains 1 red ball and 1 blue ball. A ball is randomly picked from eac

Firlakuza [10]

Answer:

"2.82" seems to be the correct solution.

Step-by-step explanation:

As we know,

A bag (Bag A) contains,

Red balls = 3

Blue ball = 1

A second bag (Bag B) contains,

Red balls = 1

Blue ball = 1

Now,

⇒ P(Bag A, red ball) = $P(A)\times P(r)\times P(r)$

On substituting the values, we get

⇒ = $\frac{1}{2}\times \frac{3}{4}\times \frac{2}{3}$

⇒ = $\frac{1}{4}$

Similarly,

Probability of second bag will be:

⇒ P(Bag B) = $\frac{1}{2}$

hence,

In the first bag (Bag A), the expected number of red balls will be:

⇒ $E(n)=\Sigma P(n)\times n$

On substituting the values, we get

⇒ $=3 (\frac{1}{4})+2(\frac{1}{8} )+4(\frac{1}{24} )+3(\frac{1}{12} )+3(\frac{4}{20} )+4(\frac{1}{20} )+2(\frac{3}{20} )+\frac{2}{20}$

⇒ $= \frac{169}{60}$

⇒ $=2.82$

7 0

3 years ago