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2 years ago

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What is the equation of the line that passes through the point (4, 11) and is perpendicular to the line with the following equat

ion y= 4/3x+7

1 answer:

Marrrta [24]2 years ago

8 0

Answer:

B

Step-by-step explanation:

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Bonus: In Triangle STP, the measure of <T is twice the measure of <S and the

olganol [36]

Answer:

m∠S=30°

m∠T=60°

m∠P=90°

Step-by-step explanation:

we know that

The sum of the interior angles in a triangle must be equal to 180 degrees

so

In the triangle STP

m∠S+m∠T+m∠P=180° ----> equation A

m∠T=2(m∠S) ----> equation B

m∠P=3(m∠S) ----> equation C

Solve the system of equations by substitution

Substitute equation B and equation C in equation A

m∠S+2(m∠S)+3(m∠S)=180°

Solve for m∠S

6m∠S=180°

m∠S=30°

<em>Find m∠T</em>

m∠T=2(m∠S)

m∠T=2(30°)=60°

<em>Find m∠P</em>

m∠P=3(m∠S)

m∠P=3(30°)=90°

3 0

3 years ago

What is half of 31 over 50

____ [38]

31 divided by 50 is 0.62

4 0

2 years ago

Read 2 more answers

a sayian's power level is 400 septillion if he goes super sayian 3 and it multiplies his power by 900 trillion what is his power

QveST [7]

It's over 9 thousand

7 0

3 years ago

Read 2 more answers

The graph shows f(x)and its transformation(x).

andre [41]

Using translation concepts, the equation for function g(x) given in the graph is:

$g(x) = 2^{x + 2}$

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

The parent function for this problem is given as follows:

$f(x) = 2^x$

From the graph, function g(x) was shifted 2 units left, hence x -> x + 2 and the definition is:

$g(x) = 2^{x + 2}$

More can be learned about translation concepts at brainly.com/question/28098112

#SPJ1

8 0

2 years ago

The average age of online consumers a few years ago was 24.1 years. As older individuals gain confidence with the Internet, it

love history [14]

Answer:

The correct option is (C).

Step-by-step explanation:

A null hypothesis is a sort of hypothesis used in statistics that intends that no statistical significance exists in a set of given observations.

It is a hypothesis of no difference.

It is typically the hypothesis a scientist or experimenter will attempt to refute or discard. It is denoted by H₀.

Whereas the alternative hypothesis is a contradicting statement tot he null hypothesis. It is denoted by Hₐ.

In this case we need to test whether the average age of online consumers has increased or not.

From previous data we know that the average age of online consumers a few years ago was 24.1 years.

A one-sample mean test can be used to determine whether the mean age has increased or not.

The hypothesis for the test can be defined as follows:

<em>H₀</em>: The average age of online consumers is 24.1 years, i.e. <em>μ</em> = 24.1.

<em>Hₐ</em>: The average age of online consumers is more than 24.1 years, i.e. <em>μ</em> > 24.1.

Thus, the correct option is (C).

6 0

3 years ago