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2 years ago

Which equation represents a line which is parallel to the line 7y - 4x = -14?

1 answer:

4 0

Answer: Any line with a slope of 4/7 and a y-intercept that is NOT -2

You should first turn the equation into y intercept form:
7y - 4x = -14; Add 4x from both sides
7y = 4x - 14; divide 7 from both sides
y = 4/7x - 2

Since you did not include choices, the answer will be the line with the slope 4/7 and without the y-intercept -2, because lines that are parallel will always have the same slope.

Example Answers: y = 4/7x + 2, y= 4/7x - 4
y = 4/7x + 10

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The english alphabet contains 21 consonants and five vowels. how many strings of six letters, each of which is drawn from the en

Mamont248 [21]

Number of strings = $21^5(5)$ = 21 x 21 x 21 x 21 x 21 x 5 = 20 420 505

Answer: 20 420 505

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3 years ago

Functoin notation for y=3x^2+2

gladu [14]

We saw under Functional Notation that y = 3x + 2 and f (x) = 3x + 2 can be interpreted as equivalent notations, where y has been replaced by f (x), or y = f (x). In y = 3x + 2, we see “y as a function of x”

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2 years ago

A is set of positive multiples of 5 less than 23

Juli2301 [7.4K]

9514 1404 393

Answer:

{5, 10, 15, 20}

Step-by-step explanation:

Multiples of 5 are of the form 5n, where n is an integer. The ones of interest will satisfy ...

0 < 5n < 23

0 < n < 4.6

That is, the multiples of 5 we want are for values of n that are 1 through 4. The set is ...

5 × {1, 2, 3, 4} = {5, 10, 15, 20}

3 0

2 years ago

Determine the kinetic energy of 8000 Newton’s roller coaster car that is moving with a speed of 20.0 meters/seconds

ohaa [14]

Answer:

The kinetic energy of the roller coaster is 1600000 J.

Step-by-step explanation:

Given:

Mass of the roller coaster is 8000 Newton's and speed 20.0 meters/seconds.

Now, we need to find the kinetic energy $E_{k}$ of the roller coaster.

So, Mass of roller coaster (m) = 8000 N.

Velocity of roller coaster (v) = 20.0 m/s.

Now, putting the formula of kinetic energy:

$E_{k} = \frac{1}{2}\times m\times v^{2}$

$E_{k}=\frac{1}{2} \times 8000\times 20^{2}$

$E_{k}=\frac{1}{2} \times 8000\times 400$

$E_{k}=\frac{1}{2} \times 3200000$

$E_{k}=1600000$

Therefore, the kinetic energy of the roller coaster is 1600000 J.

3 0

3 years ago

Pls help and thank you lolz

guapka [62]

Answer:

Step-by-step explanation:

there are two ways to answer : since angle 1 and the 125 degree angle are a linear pair, you can do 180-125 = 55, or, since the three angles in the triangle always add up to 180, you can do 180-37-88 = 55.

3 0

2 years ago

Read 2 more answers