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3 years ago

What is an equation of the line that passes through the point

Mathematics

1 answer:

grin007 [14]3 years ago

8 0

Answer:

y = 5x + 8

Step-by-step explanation:

If you want to find a equation parallel to the line given, you need to know the slope of the line given. Remember that parallel lines have the same slope.

5x - y = 4 and solving for y:

-y = -5x + 4 and solving for positive y:

y = 5x - 4

So the slope of that line is 5. We will use that along with the coordinate given to us to write the equation first in point-slope form then in slope-intercept:

y - (-2) = 5(x - (-2)) and

y + 2 = 5(x + 2) and

y + 2 = 5x + 10 so

y = 5x + 8

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Write an equation for the nth term of the arithmetic sequence.

tresset_1 [31]

Answer:

Step-by-step explanation:

3, 9, 15, 21, ...

9-3 = 6; 15-9 = 6; 21-15 = 6 ⇒ d = 6

first term: a = 3

difference: d = 6

so the formula:

$a_n=a+d(n-1)\\\\a_n=69+6(n-1)\\\\a_n =3+6n-6\\\\\underline{a_n=6n-3}$

and:

$a_{50}=6\cdot50-3=300-3=297$

5 0

2 years ago

What is 0.5333333333 as a fraction

Inga [223]

$x=0.5\overline{3}\\
10x=5.\overline{3}\\
100x=53.\overline{3}\\
100x-10x=53.\overline{3}-5.\overline{3}\\
90x=48\\
x=\dfrac{48}{90}=\dfrac{8}{15}$

6 0

3 years ago

Read 2 more answers

Mike and Beth both write the decimal 0.8 (0.88888...)as a fraction. Mike: 45 Beth: 89 Which student wrote the correct fraction?

fenix001 [56]

Answer:

see the explanation

Step-by-step explanation:

we have

0.888...

This is a <u>repeating decimal</u> (Is a decimal that has a digit, or a block of digits, that repeat over and over and over again without ever ending)

Convert to fraction number

Let

x=0.888...

10x=8.888...

Subtract 0.888... from 8.888... to remove the decimal

10x-x=8.888...-0.888...

9x=8

Solve for x

x=8/9

therefore

Mike fraction is incorrect

because 4/5=0.8

0.8 is a <u>terminating decimal </u>(It's a decimal with a finite number of digits)

Mike's mistake was considering the number as a terminating decimal instead of a repeating decimal

Beth is correct

because

If you divide 8/9

the result is 0.8888888...

3 0

2 years ago

What is the volume of this square pyramid?

tatuchka [14]

Answer: 1296 cm³

Step-by-step explanation:

Since, the volume of a square pyramid is,

$V = \frac{a^2h}{3}$

Where a = side of the square base,

h = height of the pyramid,

By the given diagram,

a = 18 cm,

h = 12 cm,

Hence, the volume of the given pyramid,

$V = \frac{18^2\times 12}{3}$

$= \frac{324\times 12}{3}$

$=\frac{3888}{3}$

$=1296$ cube cm.

⇒ First option is correct.

5 0

3 years ago

at a party at the middle school over on third avenue next to the bank, $60\%$ of the students are seventh graders. these student

Vaselesa [24]

There are 600 students including the seventh and eighth graders at the party.

This problem uses the concept of percentages to define the conditions that are laid in front of us.

Let the original number of students be S , and the number of seventh graders be = 0.60S

We know that percent is used to convey the mathematical term of a fraction multiplied by 100.

Total students after 20 eighth graders arrive = S + 20

And we have that

Number of seventh graders / total number of students = 58%

.60S / [ S + 20 ] = .58 we multiply both sides by S + 20

0.60S =0 .58 [ S + 20]

.60S = .58S + 11.6 we subtract 0.58S from both the sides

0.02S = 11.6 we divide both the sides by .02

S = 11/6 / 0.02 = 580

So the total number of students = 580 + 20 = 600 .

Hence there are 600 students at the party at that time.

To learn more about students visit:

brainly.com/question/17332524

#SPJ1

5 0

1 year ago