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3 years ago

If BD bisects ABC, m DBC =79 and ABC = (9x-4) find the value of x

Mathematics

1 answer:

zimovet [89]3 years ago

3 0

Answer:

x=18

Step-by-step explanation:

set up the equation:

DBC+DBC=ABC

79+79=(9x-4)

Simplify both sides of the equation.

79+79=9x−4

79+79=9x+−4

(79+79)=9x−4(Combine Like Terms)

158=9x−4

Flip the equation.

9x−4=158

Add 4 to both sides.

9x−4+4=158+4

9x=162

Divide both sides by 9.

9x /9 = 162 /9

x=18

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Part A: Create a third-degree polynomial in standard form. How do you know it is in standard form? (5 points)

Svetlanka [38]

Answer:

(See explanation for further details)

Step-by-step explanation:

a) Let consider the polynomial $p(x) = 5\cdot x^{3} +2\cdot x^{2} - 6 \cdot x +17$ . The polynomial is in standards when has the form $p(x) = \Sigma \limit_{i=0}^{n} \,a_{i}\cdot x^{i}$ , where $n$ is the order of the polynomial. The example has the following information:

$n = 3$ , $a_{0} = 17$ , $a_{1} = -6$ , $a_{2} = 2$ , $a_{3} = 5$ .

b) The closure property means that polynomials must be closed with respect to addition and multiplication, which is demonstrated hereafter:

Closure with respect to addition:

Let consider polynomials $p_{1}$ and $p_{2}$ such that:

$p_{1} = \Sigma \limits_{i=0}^{m} \,a_{i}\cdot x^{i}$ and $p_{2} = \Sigma \limits_{i=0}^{n}\,b_{i}\cdot x^{i}$ , where $m \geq n$

$p_{1}+p_{2} = \Sigma \limits_{i=0}^{n}\,(a_{i}+b_{i})\cdot x^{i} + \Sigma_{i=n+1}^{m}\,a_{i} \cdot x^{i}$

Hence, polynomials are closed with respect to addition.

Closure with respect to multiplication:

Let be $p_{1}$ a polynomial such that:

$p_{1} = \Sigma \limits_{i=0}^{m} \,a_{i}\cdot x^{i}$

And $\alpha$ an scalar. If the polynomial is multiplied by the scalar number, then:

$\alpha \cdot p_{1} = \alpha \cdot \Sigma \limits_{i = 0}^{m}\,a_{i}\cdot x^{i}$

Lastly, the following expression is constructed by distributive property:

$\alpha \cdot p_{1} = \Sigma \limits_{i=0}^{m}\,(\alpha\cdot a_{i})\cdot x^{i}$

Hence, polynomials are closed with respect to multiplication.

4 0

3 years ago

Expression 9(2j + 7 + 5j).<br><br> Use the distributive property to create an equivalent expression

tamaranim1 [39]

Step by Step :
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2. (9)(2j) + (9)(7) + (9)(5j)
3. 18j + 63 + 45j
Answer: 63j + 63

8 0

3 years ago

Read 2 more answers

Which of the following statements are not true in developing a confidence interval for the population mean?

frutty [35]

Answer:

b) The width of the confidence interval becomes narrower when the sample mean increases.

Step-by-step explanation:

The confidence interval can be calculated as:

$\bar{x} \pm \text{Test Statistic}\displaystyle\frac{\sigma}{\sqrt{n}}$

a) The width of the confidence interval becomes wider as the confidence level increases.

The above statement is true as the confidence level increases the width increases as the absolute value of test statistic increases.

b) The width of the confidence interval becomes narrower when the sample mean increases.

The above statement is false. As the sample mean increases the width of the confidence interval increases.

c) The width of the confidence interval becomes narrower when the sample size n increases.

The above statement is true as the sample size increases the standard error decreases and the confidence interval become narrower.

8 0

3 years ago

solong [7]

Answer:0.2 gallons and 1.6 pints

Step-by-step explanation:

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1 year ago

Jordan’s family exchanged 250 dollars for 5000 pesos.

Effectus [21]

The number of dollars for one peso is 20 dollars.

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In order to determine how many pesos can be exchanged for a dollar, the value of pesos would be divided by the amount of dollars exchanged.

Exchange rate = 5000 / 250 = 20 dollars

This means that 1 peso would be exchanged for 20 dollars.

A similar question was answered here: brainly.com/question/18236223

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2 years ago