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Norma-Jean [14]
2 years ago
15

Line r passes through points (8,10) and (2,3). Line s is perpendicular to r. What is the slope of line S?

Mathematics
1 answer:
Zepler [3.9K]2 years ago
5 0

Answer:

               -\dfrac67

Step-by-step explanation:

slope of r:

                  a_r=\dfrac{10-3}{8-2}=\dfrac76

s is perpendicular to r:

s\perp r\ \ \implies\ \ a_s\cdot a_r=-1\\\\a_s\cdot\dfrac76=-1\\\\a_s=-\dfrac67

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-61=8- 1/3(12w+42)-w W=?
motikmotik
W=11 hope this helps

7 0
3 years ago
Henry buys a large boat for the summer, however he cannot pay the full amount of $32,000 at
Anna007 [38]

Answer:

Monthly payments=$418.14

Total amount will be=down payment + 48×$418.14

$14000+$20070.84=$34070.84

Step-by-step explanation:

Loan payment per month=Amount to pay÷discount factor

Mathematically  P=A÷D

where D is the discount factor calculated using the formula;

\frac{(1+i)^n-1}{i(1+i)^n}

where i=periodic interest rate=annual rate divided by number of payment periods

A is the amount to pay after downpayment

P is the loan monthly payment amount

n=number of periodic payments=payments per year times number of years

⇒In this question you find the discount factor then divide the amount remaining to pay with the discount factor to get monthly payments

Given;

Cost of boat=$32000

Down payment=$14000

Loan to pay=$32000-$14000=$18000

Annual rate=5.5%=i=5.5%÷12=0.458%⇒0.00458

Periodic payments, n=4×12=48

Finding the discount factor D;

D=\frac{(1+i)^n-1}{i(1+i)^n} \\\\\\D=\frac{(1+0.00458)^{48} -1}{0.00458(1+0.00458)^{48} } \\\\\\D=\frac{1.2455-1}{0.005703} \\\\\\D=\frac{0.2455}{0.005703} =43.05

To get the amount to pay monthly divide the loan to pay with the discount factor

=\frac{18000}{43.05} =418.14

Monthly payments=$418.14

Total amount will be=down payment + 48×$418.14

$14000+$20070.84=$34070.84

8 0
2 years ago
Use the Rational Root Theorem to list all possible rational roots for the equation.
kicyunya [14]
The answer would be B and here’s the steps :)

5 0
2 years ago
Jeffrey calculated the slope between two pairs of points. He found that the slope between -5, 6 and -3, 2 is -2. He also found t
Cerrena [4.2K]

Answer:

Jeffrey is correct

All of these points are on the same line because the slope between (-3,2) and( 0,-4), which are coordinates from each of the pairs above, is equal to -2

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

step 1

Find the slope between -5, 6 and -3, 2

substitute the values in the formula

m=\frac{2-6}{-3+5}

m=\frac{-4}{2}=-2

step 2

Find the slope between (-1, -2) and (0, -4)

substitute the values in the formula

m=\frac{-4+2}{0+1}

m=\frac{-2}{1}=-2

step 3

Find the slope between (-3, 2) and (0, -4)

substitute the values in the formula

m=\frac{-4-2}{0+3}

m=\frac{-6}{3}=-2

therefore

Jeffrey is correct

All of these points are on the same line because the slope between (-3,2) and( 0,-4), which are coordinates from each of the pairs above, is equal to -2

8 0
3 years ago
Read 2 more answers
7. A letter from the word PERSONALITY and a card from a standard deck are chosen at random. How many outcomes are possible?
yKpoI14uk [10]

Answer:

11

Step-by-step explanation:

There are more than eleven cards in a deck but there can only be one outcome because there are only 11 letters in the word PERSONALITY.

8 0
3 years ago
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