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elena55 [62]
2 years ago
10

A line passes through the points (6, 9) and (8, 10). What is its equation in point-slope form?

Mathematics
2 answers:
melamori03 [73]2 years ago
7 0

Answer:

y = 1x/2 + 6

Step-by-step explanation:

In order to find slope from 2 points is y2-y1/x2-x1 = m

From the points (6, 9) and (8, 10)

x1 = 6

y1 = 9

x2 = 8

y2 = 10

10-9/8-6 = 1/2

m = 1/2

slope intercept from is y = mx + b

plug in (6, 9)

9 = 1/2(6) + b

9 = 3 + b

b = 6

y = 1x/2 + 6

olchik [2.2K]2 years ago
4 0

Answer:

y = 1/2x+6

Step-by-step explanation:

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How many arrangements can be made using 2 letters of the word HYPERBOLAS if no letter is to be used more than once?
alisha [4.7K]

Answer:

90 arrangements

Step-by-step explanation:

Since there are no repititions of letters, there are unique  10 letters in total.

THe number of arrangements would be 2 permutation 10. We need the formula for permutation. That is:

nPr=\frac{n!}{(n-r)!}\\

Now, n = 10 [total] and r is 2, so we have:

nPr=\frac{n!}{(n-r)!}\\\\_{10}P_{2}=\frac{10!}{(10-2)!}\\=\frac{10!}{8!}\\=\frac{10*9*8!}{8!}\\=10*9\\=90

So, there can be 90 arrangements

3 0
3 years ago
An Impressionist painting increases in value
jok3333 [9.3K]

Answer:

A = $8406.6

Step-by-step explanation:

Given:

Average rate r=9\%

Initial cost of painting a = \$1500

Time t = 20\ years

We need to find the final amount of painting at the end of a 20-year.

Solution:

Using Exponential Growth rate formula as:

A = a(1+r)^t  ----------(1)

Where:

A = Final amount

a = Initial amount.

r = Rate as a decimal.

t = Time.

Now, we substitute all given values in equation 1.

A = 1500(1+0.09)^{20}

A = 1500(1.09)^{20}

Substitute 1.09^{20} = 5.60 in above equation.

A = 1500\times 5.60

A = $8406.62

Therefore, value of the  painting at the end of  a 20-year A = $8406.6

5 0
3 years ago
Solve for x -(2x+5)+14=22
Gala2k [10]

Hey there!☺

Answer:\boxed{x=\frac{-13}{2}}

Explanation:

-(2x+5)+14=22 Equation

−(2x+5)+14=22  Simplify both sides

−2x + −5 + 14 = 22 Distribute

(−2x) + (−5+14) = 22 Combine Like Terms

-2x + 9 = 22

-2x + 9 - 9 = 22 - 9 Subtract 9 from both sides

-2x = 13

-2x/-2 = 13/-2

-13/2 Add the negative to 13

x = -13/2

Hope this helps!

7 0
3 years ago
ANYONE HELP ON THIS I HAVE 10 MINS LEFT ON MY FINAL PLEASE
igor_vitrenko [27]
It would be E) nothing, since it would be 289.82
6 0
2 years ago
Solve for x. Show your work.
hram777 [196]
5(5+x) = 6(6+4)
25+5x = 60
5x = 35
  x = 7

-----------------
3(3+5) = 4(4+x)
24 = 16 + 4x
4x = 24-16
4x = 8
  x = 2

7 0
2 years ago
Read 2 more answers
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