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3 years ago

Find the slope of a line through the points (0,0) and (2, 9). Round your

Mathematics

1 answer:

den301095 [7]3 years ago

3 0

Answer:

Slope = 4.5

Step-by-step explanation:

We need to find the slope of a line through the points (0,0) and (2, 9).

We know that, the slope of a line is given by :

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have, x₁ = 0, x₂ = 2, y₁ = 0 and y₂ = 9

Put all the values,

$m=\dfrac{9-0}{2-0}\\\\m=4.5$

So, the slope of the line is 4.5.

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Simplify: 3x2 - 27<br> Helppppp

oksian1 [2.3K]

3x^2- 27 … you divide the whole thing by 3 to get x^2- 9 and that’s the furthest you can simplify

6 0

3 years ago

F(x)= <br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B4x%20-%207%7D%7B10%7D%20" id="TexFormula1" title=" \frac{4x - 7}{10} "

Naily [24]

Answer:

To find f-¹(x) of f(x) equate f(x) to y

That's

f(x) = y

So we have

$y = \frac{4x - 7}{10}$

Next interchange the variables that's x becomes y and y becomes x

That's

$x = \frac{4y - 7}{10}$

Next make y the subject

Cross multiply

We have

4y - 7 = 10x

Move -7 to the right side of the equation

4y = 10x + 7

Divide both sides by 4

We have the final answer as

$y = \frac{10x + 7}{4}$

$f ^{ - 1} (x) = \frac{10x + 7}{4}$

Hope this helps you

7 0

4 years ago

A triangle has points dallas, destination 1, and destination 2. the distance from dallas to destination 1 is 720 miles, and the

timurjin [86]

The distance from the second destination back to Dallas is 918 miles

<h3>Given</h3>

A triangle has points Dallas, destination 1, and destination 2.

The distance from Dallas to destination 1 is 720 miles

The distance from destination 1 and destination 2 is 290 miles

the angle formed between Dallas, destination 1, and destination 2 is 125 degrees.

He moves from destination 1 to Dallas then destination 2

We could use cosine law to find the distance

<h3>What is cosine law?</h3>

The Law of cosines or cosine law means the relation between the length of sides of a triangle with respect to the cosine of its angle. It is also called the cosine rule

$b^{2}=a^2+c^2-2ac*cosB$

= $290^2+720^2-2*720*290*cos125$

=84100+518400-417600 cos 125

=602500-417600*(-0.5735)

=602500+239493.6

=841993.6

b=917.6 miles

≅918 miles

The distance is 918 miles he will fly from the second destination back to Dallas

Learn more on Distance here:

brainly.com/question/23183268

#SPJ4

5 0

2 years ago

2x2-3 evaluate each expression. Show your work

nirvana33 [79]

Answer:

Step-by-step explanation:

2x2 = 4

4-3=1

5 0

4 years ago

The capacity of an elevator is 12 people or 2088 pounds. the capacity will be exceeded if 12 people have weights with a mean gre

boyakko [2]

suppose the people have weights that are normally distributed with a mean of 177 lb and a standard deviation of 26 lb.

Find the probability that if a person is randomly selected, his weight will be greater than 174 pounds?

Assume that weights of people are normally distributed with a mean of 177 lb and a standard deviation of 26 lb.

Mean = 177

standard deviation = 26

We find z-score using given mean and standard deviation

z = $\frac{x-mean}{standard deviation}$

= $\frac{174-177}{26}$

=-0.11538

Probability (z>-0.11538) = 1 - 0.4562 (use normal distribution table)

= 0.5438

P(weight will be greater than 174 lb) = 0.5438

8 0

3 years ago