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kompoz [17]
1 year ago
6

Write this equation of a line in point slope form: slope 1/2; (3, -1)

Mathematics
1 answer:
Luda [366]1 year ago
6 0

Answer:

y + 1 = 1/2 (x - 3)

Step-by-step explanation:

Point-slope form of an equation is a shortcut, fill-in-the-blank way to write the equation of a line. All you need is slope (usually symbolized with an m) and a point (any point on the line)

Here's Point-slope:

y - Y = m (x - X)

The slope they gave you is 1/2, put that in for the m.

And also fill in 3 for the X and -1 for the Y. Because a point is (X,Y)

Just leave the first y as a y, right there. And leave the first x in the parentheses as an x. They are variables in the equation. They stay letters.

y - -1 = 1/2 (x - 3)

Simplify.

y + 1 = 1/2 (x - 3)

Minus a negative is the same as plus a positive, that's what happened there on the left. Also, when you write it, make sure the 1/2 is beside the parentheses on the right. The parentheses should not be on the bottom with the 2, but just beside the fraction.

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Which pair of measurements is not equivalent?
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D is not equivalent
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The area of a classroom space per student varies inversely with the number of students in the room. When there are 15 students i
BabaBlast [244]
You would times 20 and 15 to get 300 and then divide 300 by 25 to get 12

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2 years ago
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Joe has read ​30 % of a book. He has 63 more pages to finish. How many pages are there in the​ book?
meriva

Answer:

90 pages

Step-by-step explanation:

30% complete

70% to go = 63 pages

t = total number of pages

0.7t = 63

∴ t = ⁶³/₀.₇

⁶³/₀.₇ = 90

4 0
2 years ago
How many different four lettered codes can be formed if the first letter must be an S or a T
emmainna [20.7K]

Answer:

27,600

Step-by-step explanation:

We use the following formula:-  

Number of permutations of r from n

= nPr

= n! / (n-r)!

I am assuming you don't allow repeated letters in the 4 letter codes.

Take S as the first letter. Then we have 3 letters extra out of 25 letters.

Using the above formula the possible ways of doing this is

25! / (25 - 3)!

25! / 22!

= 25*24*23

= 13800.

The same number is obtained if the first letter is a T.

So the answer is 2*13800

= 27,600

8 0
2 years ago
A new car is purchased for $49,000 and over time its value depreciates by one half every 5 years. What is the value of the car 2
vovikov84 [41]

Principal: $49,000

Depreciation Rate: 50%

Depreciation Time: 5 years

Exponential Function: y = 49,000 (0.50)^x

Plug it in: y = 49,000 (0.50)^4

0.5^4= 0.0625

0.0625 x 49,000 = 3062.5

Value of Car after 20 years: 3062.5

Now, we need to find out how much the car decreases in ONE year.

Half of 3062.5 = 1531.25

1531.25/5 = 306.25

3062.5 - 306.25 = 2756.25

Value of car after 21 years: $2756 ---> 2800 (nearest hundred dollars my bad)

Hope this helps! Have a great day!

4 0
3 years ago
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