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sdas [7]
3 years ago
6

Are the expressions 2x+8 and 2(x+4)+4 equivalent

Mathematics
2 answers:
andriy [413]3 years ago
4 0

Answer:

No

Step-by-step explanation:

2x+8 2(x+4)+4

2(x)+2(4)+4

2x+8+4

2x+12

tensa zangetsu [6.8K]3 years ago
3 0

Answer:

No

Step-by-step explanation:

2(x+4)+4 distributing the 2 comes out as 2x+8+4 and then simplified comes out to 2x+12 which is not equal to 2x+8 so your answer is no.

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In order to successfully perform a trick, a flying trapeze artist must swing along a parabolic path that is equidistant from the
DaniilM [7]
Recall that the focus of a parabola is a point inside the parabola along the axis of symmetry of the parabola with the same distance from the vertex of the parabola as the directrix of the parabola.

Given that the focus of the parabola is (8, 16) i.e. a y-value of 16. The vertex of a parabola is halfway the distance between the y-values of the focus and the directrix.
i.e. the vertex of the parabola will have a y-value of (16 + (-8)) / 2 = (16 - 8) / 2 = 8 / 2 = 4.
Thus the vertex of the parabola is (8, 4)

Let point (x, y) be any point on the parabola, the distance between point (x, y) and the focus is
\sqrt{(x-8)^2+(y-16)^2}
while the distance between the point (x, y) and the directrix is
|y-(-8)|=|y+8|

Now, by definition, the distance between any point in a parabola and the focus is equal to the distance between that point and the directrix.
i.e.
\sqrt{(x-8)^2+(y-16)^2}=|y+8| \\ (x-8)^2+(y-16)^2=(y+8)^2 \\ x^2-16x+64+y^2-32y+256=y^2+16y+64 \\ 16y+32y=x^2-16x+256 \\ 48y=x^2-16x+256 \\ y= \frac{1}{48} x^2- \frac{1}{3} x+ \frac{16}{3}
6 0
4 years ago
17. Northern Airlines has a reputation for being on time 86% of the time.
m_a_m_a [10]

Answer:

85.33% probability that a Northern Airlines plane will be on time for at least four of its next five flights.

Step-by-step explanation:

For each Northern Airlines flight, there are only two possible outcomes. Either it is on time, or it is not on time. The probability of a flight being on time is independent of other flights. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Northern Airlines has a reputation for being on time 86% of the time.

This means that p = 0.86

Find the probability that a Northern Airlines plane will be on time for at least four of its next five flights.

P(X \geq 4) = P(X = 4) + P(X = 5)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 4) = C_{5,4}.(0.86)^{4}.(0.14)^{1} = 0.3829

P(X = 4) = C_{5,4}.(0.86)^{5}.(0.14)^{0} = 0.4704

P(X \geq 4) = P(X = 4) + P(X = 5) = 0.3829 + 0.4704 = 0.8533

85.33% probability that a Northern Airlines plane will be on time for at least four of its next five flights.

3 0
3 years ago
Need help ASAP! Brainliest will be granted to the correct answer!
fgiga [73]

Answer:  easy 98 cause [+98] is also equal to 98 its easy as that

i hope this is useful :)

7 0
3 years ago
Read 2 more answers
Is the number 5 prime , composite or neather.
kumpel [21]
5 is a Prime number.
It has only 2 factors: 1 and 5
4 0
3 years ago
Read 2 more answers
Choose 3 values that would make this inequality true. n - 3 ≤ 10
PSYCHO15rus [73]

Answer:

n = 12, 11, 10, 9...

Step-by-step explanation:

<u>Step 1:  Solve for n</u>

<u />n - 3 \leq 10

n-3+3\leq 10+3

n\leq 13

<u>Step 2:  Choose 3 values</u>

<u />n\leq 13

n = 12, 11, 10, 9...

Answer:  n = 12, 11, 10, 9...

5 0
3 years ago
Read 2 more answers
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