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3 years ago

Combine like terms in the following expression: x^2 + y ^3 + 4x^2

Mathematics

1 answer:

rjkz [21]3 years ago

7 0

The answer is C. Once you add the like terms x^2 and 4x^2 you get your answer.

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PLEASE HELP ME I AM FAILING. I WILL GIVE BRAINLIEST

Irina18 [472]

Answer:

Step-by-step explanation:

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3 years ago

Find equation of set of points pieces that its distance from the point 3, 4, -5 and -2, 1, 4 are equal.

Gnesinka [82]

Answer:

Step-by-step explanation:

Suppose we a point $P(x,y,z)$ such that its distance from either the point $A(3,4,-5)$ or $B(-2,1,4)$ is the same.

Using this information we can formula:

distance AP = distance BP

first, let's find the distance from AP, using the distance formula.

$r = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2 + (z_1 - z_2)^2}$

$AP = \sqrt{(3 - x_2)^2 + (4 - y_2)^2 + (-5 - z_2)^2}$

similarly, we can find the distance BP

$BP = \sqrt{(-2 - x_2)^2 + (1 - y_2)^2 + (4 - z_2)^2}$

since both distances are exactly the same we can equate them

$AP = BP$

$\sqrt{(3 - x_2)^2 + (4 - y_2)^2 + (-5 - z_2)^2} = \sqrt{(-2 - x_2)^2 + (1 - y_2)^2 + (4 - z_2)^2}$

we can simplify it a bit squaring both sides, and getting rid of the subscripts.

$(3 - x)^2 + (4 - y)^2 + (-5 - z)^2 = (-2 - x)^2 + (1 - y)^2 + (4 - z)^2$

what we have done here is formulated an equation which consists of any point P that will have the same distance from (3,4,-5) and (-2,1,4).

To put it more concretely,

This is the equation of the the plane from that consists of all points (P) from which the distance from both (3,4,-5) and (-2,1,4) are equal.

3 0

3 years ago

Factor the expression completely.<br> 3x + 24

Umnica [9.8K]

Answer:

3(x+8)

Step-by-step explanation:

In order to factor the expression completely, you need to find the greatest common factor of both numbers, which would be 3 because 3 fits in both numbers without leading to weird decimals or fractions.

3(x+8) is the answer.

3 0

3 years ago

Express the sum of each pair of numbers as a product of the greatest common factor of the numbers and another sum.

Sonbull [250]

9) 147
10) 145
greatest common factor is 14 I think

8 0

3 years ago

An experiment involves rolling a die and drawing a card from a standard deck of 52 cards.What is the probability that the die la

MakcuM [25]

Answer:

the probability of the die landing on 4 is 4/6 or 1/3 and the probability of the card drawn from the deck is a heart is 13/52 or 1/4.

Step-by-step explanation:

5 0

3 years ago

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