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3 years ago

Find the general term for the sequence -3, 1, 5, 9, ....

Mathematics

1 answer:

nasty-shy [4]3 years ago

8 0

Answer:

a(n) = -3 + 4(n - 1)

Step-by-step explanation:

Each succeeding term is equal to the previous term, plus 4. From -3 to 1 is 4; from 1 to 5 is 4; and so on. Thus, the general term is

a(n) = -3 + 4(n - 1).

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astraxan [27]

Answer:

10a + 7c < 40

Step-by-step explanation:

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3 years ago

Alex leaves school to go home. He walks 11 meters North and then 10 meters West. How far is Alex from the school?

yuradex [85]

Answer:

~15 meters away

Step-by-step explanation:

c^2 = a^2+b^2

c^2 = 10^2+11^2

c^2 = 100+121

c^2 = 221

c = $\sqrt{221}$

c = ~15

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3 years ago

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Elza [17]

Answer:

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Step-by-step explanation:

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3 years ago

Find the distance between (3,4) and (4,-6) if necessary, round to the nearest tenth.

Ratling [72]

Answer:

The distance is:

d = 10.0 units (Rounded to the nearest the Tenths Place)

Step-by-step explanation:

Given the points

(3,4)

(4,-6)

The distance 'd' between (3,4) and (4,-6)

$\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):$

$d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

substituting the points values

$=\sqrt{\left(4-3\right)^2+\left(-6-4\right)^2}$

$=\sqrt{1+10^2}$

$=\sqrt{1+100}$

$=\sqrt{101}$

$=10.0$ units (Rounded to the nearest the Tenths Place)

Thus, the distance is:

d = 10.0 units (Rounded to the nearest the Tenths Place)

4 0

3 years ago

A rectangular prism. The rectangular base has a length of 5 centimeters and width of 4 centimeters. What are the dimensions of t

AVprozaik [17]

Answer:

dimension is 5cm * 4 cm

Step-by-step explanation:

As the plane is parallel to the base, the ratio between plane's length and width is equal to the ratio of that of the base. -> similar shape.

Moreover, it also divided the rectangular prism into 2 smaller rectangular prism. hence the plane is identical to the base. Hence, same dimension.

see photo

3 0

3 years ago