Which point could be on the line that is perpendicular

PLEASE ANSWER !! And explain step by step

Ugo [173]

to identify all of the Sims, products and factors in the expression you have to work it out step-by-step so basically we have x + 5, y + 9 + 2 + x parentheses y + 23 and then you multiply and start from there

5 0

3 years ago

Explain, with at least 2 complete sentences, how to determine if a graph is a function or not.

mafiozo [28]

You can determine whether a graph is a function or not if it’s points create a straight , consistent line. there will be no curves or intersecting lines on the graph.

8 0

2 years ago

What is the length of the altitude of the equilateral triangle below

AVprozaik [17]

Answer

Find out the altitude of the equilateral triangle .

To proof

By using the trignometric identity.

$tan\theta = \frac{Perpendicular}{base}$

As shown in the diagram

and putting the values of the angles , base and perpendicular

$tan 60^{\circ} = \frac{a}{4\sqrt{3}}$

$tan 60^{\circ} = \sqrt{3}$

solving

$\sqrt{3} = \frac{a}{4\sqrt{3}}$

$a = \sqrt{3}\times 4 \sqrt{3}$

As

$\sqrt{3}\times \sqrt{3} = 3$

put in the above

a = 4 × 3

a = 12 units

The length of the altitude of the equilateral triangle is 12 units .

Option (F) is correct .

Hence proved

3 0

2 years ago

Read 2 more answers

write the following expression as a multiple of the sum of two whole numbers with no common factor 54 + 78

Alex

Answer:

132

Step-by-step explanation:

7 0

3 years ago

Eight percent of all college graduates hired by companies stay with the same company for more than five years. The probability,

Maurinko [17]

Answer:

0.1662 = 16.62% probability that exactly 2 will stay with the same company for more than five years

Step-by-step explanation:

For each graduate, there are only two possible outcomes. Either they stay for the same company for more than five years, or they do not. Graduates are independent. This means that 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.

Eight percent of all college graduates hired by companies stay with the same company for more than five years.

This means that $p = 0.08$

Sample of 11 college graduates:

This means that $n = 11$

The probability, rounded to four decimal places, that in a random sample of 11 such college graduates hired recently by companies, exactly 2 will stay with the same company for more than five years is: the absolute tolerance is +-0.0001

The tolerance means that the answer is rounded to four decimal places.

The probability is P(X = 2). So

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

$P(X = 2) = C_{11,2}.(0.08)^{2}.(0.92)^{11} = 0.1662$

0.1662 = 16.62% probability that exactly 2 will stay with the same company for more than five years

4 0

3 years ago