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lora16 [44]
3 years ago
5

Find the value of x and the measure of the angle labeled 3x.

Mathematics
2 answers:
nalin [4]3 years ago
8 0

Answer:

X=10

Step-by-step explanation:

3x=30

3(10)=30

30=30

30+42=72

I hope this helps!

PolarNik [594]3 years ago
6 0

Answer:

D. x=10; angle measure is 30°

Step-by-step explanation:

hope this helps

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What are the roots of this equation? x2-4x+9=0
zysi [14]

Considering the definition of zeros of a function, the zeros of the quadratic function f(x) = x² + 4x +9 do not exist.

<h3>Zeros of a function</h3>

The points where a polynomial function crosses the axis of the independent term (x) represent the so-called zeros of the function.

In summary, the roots or zeros of the quadratic function are those values ​​of x for which the expression is equal to 0. Graphically, the roots correspond to the abscissa of the points where the parabola intersects the x-axis.

In a quadratic function that has the form:

f(x)= ax² + bx + c

the zeros or roots are calculated by:

x1,x2=\frac{-b+-\sqrt{b^{2}-4ac } }{2a}

<h3>This case</h3>

The quadratic function is f(x) = x² + 4x +9

Being:

  • a= 1
  • b= 4
  • c= 9

the zeros or roots are calculated as:

x1=\frac{-4+\sqrt{4^{2}-4x1x9 } }{2x1}

x1=\frac{-4+\sqrt{16-36 } }{2x1}

x1=\frac{-4+\sqrt{-20 } }{2x1}

and

x2=\frac{-4-\sqrt{4^{2}-4x1x9 } }{2x1}

x2=\frac{-4-\sqrt{16-36 } }{2x1}

x2=\frac{-4-\sqrt{-20} }{2x1}

If the content of the root is negative, the root will have no solution within the set of real numbers. Then \sqrt{-20} has no solution.

Finally, the zeros of the quadratic function f(x) = x² + 4x +9 do not exist.

Learn more about the zeros of a quadratic function:

brainly.com/question/842305

brainly.com/question/14477557

#SPJ1

6 0
1 year ago
In 2004, a pine tree was 5 3/4 ft tall. If the tree grew at an average rate of 5/6 ft per year for the next 7 years, how tall wo
Nady [450]

Answer:

11 7/12 ft tall

Step-by-step explanation:

5 3/4 + (5/6*7)

139/12

11 7/12

7 0
3 years ago
Please show work ela common core 6th grade 1 step equations
arlik [135]
Some of the answers are going to be negative fractions, and some are going to be positive. I can't show the work on here right now but I hope that this helped a little bit. If you have any further questions then let me know and I can try to help you!
4 0
3 years ago
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I WILL MAKE YOU BRAINLIEST!!!!! On the number line below, P represents a number. What is the value of the opposite of that numbe
Elden [556K]

Answer:

do u do buzz?

Step-by-step explanation:

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2 years ago
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Answer the following questions and round your answers to 2 decimal places. 84% of all Americans live in cities with population g
nignag [31]

Answer:

15.23% probability that exactly 42 of them live in cities with population greater than 50,000 people.

Step-by-step explanation:

For each American, there are only two possible outcomes. Either they live in cities with population greater than 50,000 people. Or they do not. The probability of a person living in a city with population greater than 50,000 people is independent of any other person. 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.

84% of all Americans live in cities with population greater than 50,000 people.

This means that p = 0.84

If 50 Americans are selected at random, Find the probability that Exactly 42 of them live in cities with population greater than 50,000 people.

This is P(X = 42) when n = 50. So

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

P(X = 42) = C_{50,42}.(0.84)^{42}.(0.16)^{8} = 0.1523

15.23% probability that exactly 42 of them live in cities with population greater than 50,000 people.

4 0
2 years ago
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