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3 years ago

11

Find the midpoint of points A(-7,7) and B(-1,-3) graphically.

1 answer:

AfilCa [17]3 years ago

8 0

Answer:

(3,5)

Step-by-step explanation:

Use the midpoint formula to find the midpoint of the line segment.

(3,5)

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Sami has 89 video games. He keeps 14 for himself and distributes the remaining video games to each

Natasha2012 [34]

Answer:

89=14-5x

Step by step

Because 14 is how many he keeps and x5 is how many he gives to his cousins in total

5 0

3 years ago

Select the correct answer from each drop-down menu. ronald is buying a rectangular chest to store his carpentry tools. the heigh

shepuryov [24]

<u>The function that represents the </u><u>volume</u><u> of the chest is </u><u>40.</u>

What is a volume simple definition?

The amount of space occupied by a three-dimensional figure as measured in cubic units (as inches, quarts, or centimeters) cubic capacity.
The amount of a substance occupying a particular volume.

When the Area of rectangular chest:

A(x) = 20√x /3

⇒ Volume of chest = Base area x Height

Therefore:

(X + 6) × 20√x /3

(20x√x /3 ) + (20 × 6√x/3)

(20x√x /3 ) + (20 × 2 × 3√x/3)

(20x√x/3) + 40√x

Therefore, the correct answer for the drop-down menu is that the first blank is multiply and the second blank is 40.

Learn more about Volume

brainly.com/question/1578538

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8 0

1 year ago

Identify the sequence graphed below and the average rate of change from n = 1 to n = 3.

dsp73

Answer:

The required sequence is $a_n=20(\frac{1}{2})^{n-1}$ . The average rate of change from n = 1 to n = 3 is -7.5.

Step-by-step explanation:

From the given graph it is clear that the sequence is a GP because the all terms are half of their previous terms.

Here, $a_2=10,a_3=5,a_4=2.5,a_5=1.25$

$r=\frac{a_3}{a_2}=\frac{5}{10}=\frac{1}{2}$

The common ratio of GP is 1/2.

$r=\frac{a_2}{a_1}$

$\frac{1}{2}=\frac{10}{a_1}$

$a_1=20$

The first term of the sequence is 20.

The formula for sequence is

$a_n=a(r)^{n-1}$

Where a is first term and r is common difference.

The required sequence is

$a_n=20(\frac{1}{2})^{n-1}$

The formula for rate of change is

$m=\frac{f(x_2)-f(x_1)}{x_2-x_1}$

The average rate of change from n = 1 to n = 3 is

$m=\frac{f(3)-f(1)}{3-1}$

$m=\frac{5-20}{3-1}$

$m=\frac{-15}{2}=-7.5$

Therefore the required sequence is $a_n=20(\frac{1}{2})^{n-1}$ . The average rate of change from n = 1 to n = 3 is -7.5.

8 0

3 years ago

Read 2 more answers

Calculate the arithmetic sequence in which a9=17 and the common difference is d=-2.1

jek_recluse [69]

Answer:

$S_{31}=71.3$

Step-by-step explanation:

The nth term of an arithmetic sequence is given by the formula,

$U_n=a_1+(n-1)d$

We were given that the 9th term is $17$ .

$\Rightarrow 17=a_1+(9-1)(-2.1)$

$\Rightarrow 17=a_1+(8)\times(-2.1)$

$\Rightarrow 17=a_1-\frac{84}{5}$

$\Rightarrow 17+\frac{84}{5}=a_1$

$\Rightarrow a_1=\frac{169}{5}$

The sum of the first n-terms is given by the formula,

$S_n=\frac{n}{2}(2a_1+(n-1)d)$

To find $S_{31}$ , we substitute $n=31$ , $a_1=\frac{169}{5}$ and $d=-2.1$ .

$\Rightarrow S_{31}=\frac{31}{2}(2(\frac{169}{5}+(31-1)(-2.1))$

$\Rightarrow S_{31}=\frac{31}{2}(2(\frac{169}{5}+(30)(-2.1))$

$\Rightarrow S_{31}=\frac{31}{2}(\frac{23}{5})$

$\Rightarrow S_{31}=\frac{713}{10}$

$\Rightarrow S_{31}=71.3$

The correct answer is D

8 0

3 years ago

Read 2 more answers

Can someone please explain this

SSSSS [86.1K]

Answer:

-1

Step-by-step explanation:

can you also hep me on something

4 0

3 years ago