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3 years ago

In the coordinate plane, what is the length of the line segment that connects points at (5, 4) and (−3, −1) ?

2 answers:

8 0

To find the length of a line between two points with known x- and y- coordinates, use:
sqrt((change in x)^2 + (change in y)^2),
which I know may look confusing but it isn't really:

sqrt((5 - -3)^2 + (4 - -1)^2)
= sqrt(8^2 + 5^2)
= sqrt(64 + 25)
= sqrt(89)

cluponka [151]3 years ago

8 0

The Answer is 9.43 Hope this helps :D

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Express as a fraction or mixed number 1.5%

Svetlanka [38]

Answer:

3/2 g.oogle if you want the explanation of your work.

4 0

3 years ago

Find the seventh term of the sequence which has a first term of 1/2 and has a common ratio of three

prohojiy [21]

The seventh term of the sequence is 364.5

<h3>Geometric progression </h3>

From the question, we are to determine the seventh term of the sequence

Using the formula,

$a_{n} = ar^{n-1}$

Where $a_{n}$ is the nth term

a is the first term

and r is the common ratio

From the given information,

a = 1/2

r = 3

Thus,

$a_{7} = (\frac{1}{2}) 3^{7-1}$

$a_{7} = (\frac{1}{2}) 3^{6}$

$a_{7} = \frac{1}{2} \times 729$

$a_{7} = 364\frac{1}{2} \ OR \ 364.5$

Hence, the seventh term of the sequence is 364.5

Learn more on Geometric progression here: brainly.com/question/24643676

#SPJ1

3 0

2 years ago

Write a quadratic function h whose zeros are - 6 and -5 h (x) =

ANTONII [103]

Answer:

h(x)= x^2+11x+30

Step-by-step explanation:

A quadratic function is in the form h(x) = ax^2 + bx + c.

Since the zeros are -6 and -5, take the opposite signs and add them to the variable x separately.

It should look like this: h(x)= (x+6)(x+5)

Since this is the factored form, we have to solve this equation further.

h(x)= (x+6)(x+5)

h(x)= x^2+6x+5x+30

h(x)= x^2+11x+30

4 0

3 years ago

Five cards are selected without replacement from a pack of 52 playing cards. What is the probability of exactly 3 hearts?

irga5000 [103]

There are 13 total hearts in the deck, which leaves 39 non-hearts. You're drawing a hand of five cards, so the probability of getting exactly 3 hearts is

$\dfrac{\binom{13}3\binom{39}2}{\binom{52}5}=\dfrac{2717}{33320}$

as required.

3 0

3 years ago

Which values are solutions to the inequality below?<br> Check all that apply.<br><br> √x >8

lapo4ka [179]

Answer:

x > 64

therefore, 65 and 66 both apply

Step-by-step explanation:

$\sqrt{x}$ > 8

square each side to get:

x > 64

8 0

3 years ago