Ask question

Ask question

All categories

3 years ago

14

What is the distance between P(0,4) and Q(3,0)

2 answers:

igor_vitrenko [27]3 years ago

6 0

Plot this out on a graph and you'll get your answer of 5.

bixtya [17]3 years ago

4 0

Hey!
The distance formula is the:
$\sqrt{(x_2}- x_{1})^2 + {(y_2}- y_{1})^2$
so 3-0 is 3 and squared is 9
0-4 is -4 and squared it is 16
add those and you get 25
the square root of 25 is 5
5 is the distance
Hope this helps!

You might be interested in

The function f(x) = –x2 – 4x + 5 is shown on the graph. On a coordinate plane, a parabola opens down. It goes through (negative

madam [21]

The true statement is:

"The range of the function is all real numbers less than or equal to 9."

<h3>Which statements are true?</h3>

Here we have the quadratic function:

$f(x) = -x^2 - 4x + 5$

And we want to see which of the given statements are true.

The first one is:

"The domain is al real numbers less than or equal to -2"

This is false, for all quadratic functions the domain is the set of all real numbers (unless the domain is defined).

The second statement is:

" The domain of the function is all real numbers less than or equal to 9."

Also false

Third one:

" The range of the function is all real numbers less than or equal to −2"

The range of a quadratic function with a negative leading coefficient will be the set of all the values smaller than the y-value of the vertex.

In this case, the quadratic function is:

$f(x) = -x^2 - 4x + 5$

So the vertex is at:

$x = 4/(2*-1) = -2\\$

Then the y-value of the vertex is:

$f(-2) = -(-2)^2 - 4*(-2) + 5 = -4 + 8 + 5 = 9$

So the range is the set of all real numbers less than or equal to 9.

So the above statement is false, and the final one:

"The range of the function is all real numbers less than or equal to 9."

Is the true statement.

If you want to learn more about quadratic functions:

brainly.com/question/1214333

#SPJ1

8 0

2 years ago

14 fluid oz equals how many cups

melisa1 [442]

Answer:

1.75

Step-by-step explanation:

8 oz makes a cup

3 0

3 years ago

Which statement best applies to the slope of the line below?

ch4aika [34]

Answer:

D

Step-by-step explanation:

fro the diagram below there line has no slope

3 0

3 years ago

Read 2 more answers

Find the P-value for a test of the claim that more than 60% of the people following a particular diet will experience increased

lina2011 [118]

Answer:

The p-value of the test is 0.0207.

Step-by-step explanation:

Test of the claim that more than 60% of the people following a particular diet will experience increased energy (H1: p > 0.6).

The null hypothesis is:

$H_0: p = 0.6$

The alternate hypothesis is:

$H_1: p > 0.6$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

0.6 is tested at the null hypothesis:

This means that $\mu = 0.6, \sigma = \sqrt{0.6*0.4}$

Of 100 randomly selected subjects who followed the diet, 70 noticed an increase in their energy level.

This means that $n = 100, X = \frac{70}{100} = 0.7$

Test statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{0.7 - 0.6}{\frac{\\sqrt{0.6*0.4}}{\sqrt{100}}}$

$z = 2.04$

P-value of the test:

The p-value of the test is the probability of finding a sample proportion of at least 0.7, which is 1 subtracted by the p-value of z = 2.04.

Looking at the z-table, z = 2.04 has a p-value of 0.9793

1 - 0.9793 = 0.0207

The p-value of the test is 0.0207.

4 0

3 years ago

Which expression is equivalent to 2.2−2.5? A 2.5−2.2 B 2.2+2.5 C 2.2+(−2.5) D 2.2−(−2.5)

joja [24]

Answer:

C)

Step-by-step explanation:

7 0

4 years ago