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3 years ago

6

Which angle number is adjacent to angle DHG

1 answer:

katovenus [111]3 years ago

7 0

The angle BNO is adjacent to DHg

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<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%20%7B%7D%5E%7B2%7D%20-%204%20%7D%7B%20%5Csqrt%7Bx%20%7B%7D%5E%7B2%7D%20-%206x%2

Nimfa-mama [501]

First of all, we can observe that

$x^2-6x+9 = (x-3)^2$

So the expression becomes

$\dfrac{x^2-4}{\sqrt{(x-3)^2}} = \dfrac{x^2-4}{|x-3|}$

This means that the expression is defined for every $x\neq 3$

Now, since the denominator is always positive (when it exists), the fraction can only be positive if the denominator is also positive: we must ask

$x^2-4 \geq 0 \iff x\leq -2 \lor x\geq 2$

Since we can't accept 3 as an answer, the actual solution set is

$(-\infty,-2] \cup [2,3) \cup (3,\infty)$

7 0

2 years ago

A bouncing rubber ball has each of the following except _____.

REY [17]

The answer is c heat

6 0

3 years ago

11 th grade algebra question 1

Zolol [24]

$\huge \bf༆ Answer ༄$

Here's the solution ~

${ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:a_{11} × a_{22} - a_{21} × a_{12}$

${ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:(2 \times 4) - ( - 1 \times - 3)$

${ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:8 - 3$

${ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:5$

4 0

2 years ago

The average daily volume of a computer stock in 2011 was ų=35.1 million shares, according to a reliable source. A stock analyst

Shtirlitz [24]

Answer:

a

The null hypothesis is $H_o : \mu = 35 .1 \ million \ shares$

The alternative hypothesis $H_a : \mu \ne 35.1\ million \ shares$

b

The 95% confidence interval is $27.475 < \mu < 37.925$

Step-by-step explanation:

From the question the we are told that

The population mean is $\mu = 35.1 \ million \ shares$

The sample size is n = 30

The sample mean is $\= x = 32.7 \ million\ shares$

The standard deviation is $\sigma = 14.6 \ million\ shares$

Given that the confidence level is $95\%$ then the level of significance is mathematically represented as

$\alpha = 100-95$

$\alpha = 5\%$

=> $\alpha = 0.05$

Next we obtain the critical value of $\frac{\alpha }{2}$ from the normal distribution table

The value is $Z_{\frac{\alpha }{2} } = 1.96$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{ \sigma }{\sqrt{n} }$

substituting values

$E = 1.96 * \frac{ 14.6 }{\sqrt{30} }$

$E = 5.225$

The 95% confidence interval confidence interval is mathematically represented as

$\= x -E < \mu < \= x +E$

substituting values

$32.7 - 5.225 < \mu < 32.7 + 5.225$

$27.475 < \mu < 37.925$

6 0

2 years ago

Find the additive inverse of each number. 1. 15 2. – 27 3. 7 9 4. 9 16  5. 0 6. – 1

nasty-shy [4]

The additive inverse of a number is otherwise known as its opposite.

The additive inverse of 15 is -15.
The additive inverse of -27 is 27.
The additive inverse of 0 is 0 itself!

a + (-a) = 0
A number plus its additive inverse equals zero!

4 0

2 years ago