Lets find 2 points, one obvious one is (0,0), another point is (12,4)

$Slope = \frac{4-0}{12-0} =\frac{4}{12} = \frac{4\times 1}{4\times 3} = \frac{1}{3}$

y = mx + b

m is the slope

we got m = 1/3

We can eliminate answer choices C and D.

y = 1/3x + b

we need to solve for b

Plug in the point (0,0) and solve for b

0 = 1/3(0) + b

0 = 0 + b

b = 0

The equation of the line is y = 1/3x + 0, or y = 1/3x

Your answer is B.

3 0

3 years ago

Find the distance between the two points rounding to the nearest tenth (if necessary). (2,−3) and (0,−8)

saveliy_v [14]

Answer:

square root of 29

Step-by-step explanation:

use the distance formula and then plug the numbers in, i got the sqrt(29) after i did that

6 0

3 years ago

a standard deck of cards missing the queen of hearts in the 2 of clubs what is the probability of pulling either an ace or a spa

Butoxors [25]

<h3>Answer: 8/25</h3>

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Explanation:

In a standard deck, there are 52 cards.

If this deck is missing the queen of hearts and 2 of clubs, then we really have 52-2 = 50 cards in the deck.

There are 4 aces and 13 spades. Those values add to 4+13 = 17, but we need to subtract off 1 to account for the ace of spades counted twice. We have 17-1 = 16 cards that are either an ace, a spade, or both.

Or you can think of it like saying 13 spades + 1 ace of hearts + 1 ace of diamonds + 1 ace of clubs = 16 cards total.

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The event space has A = 16 cards in it, while the sample space has B = 50 cards.

The probability we're after is A/B = 16/50 = 8/25

5 0

2 years ago