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3 years ago

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Name: Combining Like Terms Combine the following sets of terms. 1. (2x + 6x + 10) + (4x² + 2x + 3)

1 answer:

emmainna [20.7K]3 years ago

6 0

Answer:

(10x+4x^2+13)

Step-by-step explanation: 10 and 3 do not have a variable therefore they go together (both being positive you add). 2x, 2x, and 6x have the same variable, being positive you add. 4x^2 is the only number with the x^2 variable and stays by itself due to no others.

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Please solve with explanation I’ve been asking all day (this is not a multiple choice question)

Anastaziya [24]

Answer:

a) $SA = 522.9~cm^2$

b) $V_{cone} = 670.2~cm^3$

c) $V_{empty} = 1340.4~cm^3$

Step-by-step explanation:

a)

For a cone,

$SA = \pi r (L + r)$

where L = slant height

$L = \sqrt{r^2 + h^2}$

We have r = 8 cm; h = 10 cm

$L = \sqrt{(8~cm)^2 + (10~cm)^2}$

$L = \sqrt{164~cm^2}$

$SA = (\pi)(8~cm)(\sqrt{164~cm^2} + 8~cm)$

$SA = 522.9~cm^2$

b)

$V_{cone} = \dfrac{1}{3}\pi r^2 h$

$V_{cone} = \dfrac{1}{3}(\pi)(8~cm)^2(10~cm)$

$V_{cone} = 670.2~cm^3$

c)

$V_{cylinder} = \pi r^2 h$

empty space = volume of cylinder - volume of cone

$V_{empty} = V_{cylinder} - V_{cone}$

$V_{empty} = \pi r^2 h - \dfrac{1}{3}\pi r^2 h$

$V_{empty} = (\pi)(8~cm)^2(10~cm) - \dfrac{1}{3}(\pi)(8~cm)^2(10~cm)$

$V_{empty} = 1340.4~cm^3$

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In one week, Callum collected 1246 rocks from the seashore. Every day, he collected the same number of rocks. In a single day, h

Snezhnost [94]

Answer:

178

Step-by-step explanation:

1246 over a week, (1246/7) in a day. 178 rocks a day

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