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3 years ago

PLEASE ANSWER I WILL MARK THE BRAINIEST ANSWER :)factorise: X^2 + 10x + 16

Mathematics

1 answer:

Damm [24]3 years ago

3 0

Answer:

(x+2)(x+8)

Step-by-step explanation:

1.)find factors of the third expression(16)that will add up to give the second expression(10)

16=2×8. 10=2+8

2.)substitute those factors inplace of 10

${x}^{2} + 10x + 16$

$x {}^{2} + 2x + 8x + 16$

3.)factorise using grouping method

$( {x}^{2} + 2x) + (8x + 16)$

$x(x + 2) + 8(x + 2)$

$= (x + 2)(x + 8)$

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2 years ago

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Answer:

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Step-by-step explanation:

Given:

Coin is tossed and a single 6 sided number cube is rolled.

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Now, we know that:

Probability of an event 'A' = Favorable outcomes of 'A' ÷ Total possible outcomes

Now, for tossing a coin, the total possible outcomes are head and tail. So, there are 2 possible outcomes.

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Similarly, for rolling a 6 sided cube, the possible outcomes are numbers 1 to 6. So, the number of possible outcomes is, $n(S)=6$

Now, probability of rolling a 3 is given as:

$P(R3)=\frac{n(R3)}{n(S)}\\\\P(R3)=\frac{1}{6}$

Now, both the events 'H' and 'R3' occur together. So, the combined probability is the product of two individual probabilities as they are independent events. So,

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Note: Independent events are those events whose intersection is an empty set of events or the outcome of one event doesn't affect the outcome of the other event.

Therefore, the probability of landing on the heads side of the coin and rolling 3 on the number cube is 0.083.

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