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quester [9]
3 years ago
15

Write in slope-intercept form an equation of the line that passes through the given points. (2,4),(5,13)

Mathematics
1 answer:
antiseptic1488 [7]3 years ago
7 0

Answer:

y = 3x-2

Step-by-step explanation:

We can find the slope using the equation for slope

m = (y2-y1)/(x2-x1)

    = (13-4)/(5-2)

    = 9/3

     = 3

We know the slope and a point, so we can use point slope form to make an equation

y-y1 = m(x-x1)

y-4 = 3(x-2)

Distribute

y-4 = 3x-6

Add 4 to each side

y-4+4 = 3x-6+4

y = 3x-2

This is in slope intercept form (y= mx+b)

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Which fraction is halway between 1/2 and and 1 1/4
Igoryamba

Answer:

3/8

Step-by-step explanation:

= (1/4 + 1/2 )/2

= 3/4 ÷ 2

= 3/(4×2)

= 3/8 (final answer)

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2 years ago
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Solving one-step inequalities by multiplying/dividing<br><img src="https://tex.z-dn.net/?f=14v%20%5Cleqslant%2014" id="TexFormul
liubo4ka [24]

Answer: v <= 1


Step-by-step explanation:

When you have a variable by a number, you do the opposite of multiplying, so you divide

Since there's only 14v you divide 14 from itself leaving just the variable

14 ÷ 14 = 1

You repeat this and divide on the other side

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Since you arent dividing by a negative on both sides, the arrow stays the same

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Hope this helps!


5 0
3 years ago
How many ways are there to select a 5-card hand from a regular deck such that the hand contains at least one card from each suit
Snezhnost [94]

Answer:

There are 685464 ways of selecting the 5-card hand

Step-by-step explanation:

Since the hand has 5 cards and there should be at least 1 card for each suit, then there should be 3 suits that appear once in the hand, and one suit that apperas twice.

In order to create a possible hand, first we select the suit that will appear twice. There are 4 possibilities for this. For that suit, we select the 2 cards that appear with the respective suit. Since there are 13 cards for each suit, then we have {13 \choose 2} = 78 possibilities. Then we pick one card of all remaining 3 suits. We have 13 ways to pick a card in each case.

This gives us a total of 4*78*13³ = 685464 possibilities to select the hand.

6 0
3 years ago
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borishaifa [10]

Answer:

1) No

2) No

3) Yes

4) No

5) Yes

Step-by-step explanation:

All three sides must add with another to be greater than the last side (Not sure if that makes sense ._.)

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