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Law Incorporation [45]
3 years ago
15

What value of x and y will make the polygon a parallelogram 105° V 15x

Mathematics
1 answer:
Maslowich3 years ago
8 0

Answer

60

Step-by-step explanation:

105+15= 120

180-120=60

I think this is the correct answer but I dont know

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Is the table proportional? 1,5 2,10 3,15​
elixir [45]

Answer:

no becuz its a whole number not a fraction

Step-by-step explanation:

ax+b

a=5

b=0

7 0
3 years ago
What type of right triangle would you use this formula for and why? <br><br>c=2a​
levacccp [35]

Answer:

30 60 90 triangle

the hypotenuse is twice the length of the shorter leg length.

7 0
3 years ago
73km 47hm 2dam - 11km 55hm
zvonat [6]

<u>Answer</u>

6,122 hm


<u>Explanation</u>

You can carry out operations on the like terms only. So convert all units to one unit.

I will convert them to dam

1 km =100 dam

73 km = 73 × 100

          =7,300 dam

11 km = 11× 100

         1100 dam

1 hm = 10 dam

47 hm = 47 × 10

            = 470 dam

55 hm = 55× 10

           = 550 dam

73km 47hm 2dam - 11km 55hm = (7300+ 470+2) - (1100+550)

                                                    = 7,772 - 1,650

                                                    = 6,122 hm


8 0
3 years ago
Find all the zeros of the equation x^4-6x^2-7x-6=0 Explain please.
Alina [70]
<h3>Answer:</h3>
  • zeros are {-2, 3, (-1±i√3)/2}
<h3>Step-by-step explanation:</h3>

I like to look at a graph of the function to see where the zeros might be. Here, there are x-intercepts at x=-2 and x=3. These can be factored out using synthetic division to find the factorization to be ...

... (x +2)(x -3)(x² +x +1) = 0

By completing the square, using the quadratic formula, or by looking at the graph of it, the complex roots of the quadratic factor can be found to be ...

... x = (-1 ±i√3)/2

_____

The second attachment shows my synthetic division. The first division takes out the root x=3 to give a quotient of x³ +3x² +3x +2. The second division takes out the root -2 to give the quotient of x² +x +1. (You can see that I tried -1 as a root first.)

The graph shows both the quartic and the quadratic factor of it. The latter has a leading coefficient of 1 and a vertex at (-1/2, 3/4), so you know the complex roots are -1/2 ±i√(3/4).

_____

<em>From the beginning</em>

There is only a very complicated formula for the roots of a quartic equation, so these are usually solved by machine or by some form of trial and error (iteration). There are some helps, like Descarte's Rule of Signs, and the Rational Root theorem.

Here, the former looks at the one sign change in the coefficients to tell you there will be 1 positive real root. Changing the sign of the odd-degree terms makes there be 3 sign changes, so there will be 3 or 1 negative real roots. Thus, we're assured at least two real roots, one of each sign.

We can look at the constant term to find the y-intercept to be -6. We can add the coefficients to find the value of the function is -18 for x=1, so the positive real root is larger than 1.

The Rational Root theorem says any rational roots will be factors of 6, the constant term. Choices are 1, 2, 3, 6. We have already eliminated 1 as a possibility, and we consider it unlikely that 6 will be a root. (The 4th power overwhelms the other terms in the function.) We tried 2 and found it doesn't work (this was before we graphed the function). The attached division result shows that 3 is a root, as does the graph.

Once you get down to a quadratic, you can find the remaining roots in the usual way. Because it is so simple to read them from the graph, we decided to graph the quadratic factor.

_____

<em>Comment on terminology</em>

"root" and "zero" are essentially the same thing when the function is equated to zero, as here. The terms refer to the value(s) of x that make the polynomial function evaluate to zero.

8 0
3 years ago
It is known that 5% of the population over the age of 30 in a city is a university graduate. Among the 100 people chosen randoml
Novosadov [1.4K]

Answer:

A) 1/3200000

B) 19/20

Step-by-step explanation:

Percentage population of graduates = 5

Proportion of graduates from 100 random samples = percentage × number of samples

Proportion of graduates = 0.05 × 100 = 5

Probability of having 5 graduates among the 100 random samples:

P(1 graduate) = possible outcome / total required outcome

P(1 graduate) = (5 / 100) = 1/20

P(5 graduates) = (1/20)^5

P(5 graduates) = 1/3200000

Probability of never being a graduate = (1 - probability of being a graduate)

Probability of never being a graduate = ( 1 - (1/20)) = 19/20

5 0
3 years ago
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