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Dima020 [189]
3 years ago
15

Find the equation of a line perpendicular to y=x-3 that contains the point (2,1)

Mathematics
1 answer:
murzikaleks [220]3 years ago
3 0

Answer:

y = -x + 3

Step-by-step explanation:

y = x - 3   This equation has a slope of 1

A line that would be perpendicular to the above line would then need a slope of -1

If the line has a slope of -1 and passes through (2, 1) then we can plug into

y = mx + b to get the 'b' value

1 = (-1)(2) + b

1 = -2 + b

3 = b

Equation would be y = -x + 3

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Jack had 3 bags of golf balls with b balls in each bag; then his friend gave him 6 more golf balls. How many golf balls does Jac
earnstyle [38]
Answer= (3 x b)+6

Because you multiply to find the total of the golf balls. Then you'll have to add 6.

Hopefully this helped!
3 0
3 years ago
Read 2 more answers
Stu Reese has a $150,000 7½% mortgage. His monthly payment is $1,010.10. His first payment will reduce the principal to an outst
BabaBlast [244]

Given that

starting outstanding balance = $150000

rate of interest = 7.5% per year

so rate of interest for 1 month = (7.5/12)% = 0.635%

outstanding balance before 1st monthly payment =  starting outstanding balance   +   0.625% of interest on  starting outstanding balance

= 150000 + (0.625 /100) × 150000

= 150000 + 937.5 = $150937.5

Reduction = outstanding balance after one month - first monthly payment

Reduction  = $150937.5 - 1010.10 = 149927.40

so out of first payment of $1,010.10 ,  $937.5  goes towards interest and remaining $72.6 goes towards reduction of principal that is 150000 - $72.6 = 149927.40.

so correct option is B that is $149927.40.

8 0
3 years ago
Please help IM SO CONFUSED!
rodikova [14]

Answer:

18

Step-by-step explanation:

You can see from the table that 2 bracelets are made every 30 minutes.

There are 9 intervals of 30 minutes each in 4.5 hours.

So, the number of bracelets that are made in 4.5 hours is

9x2=18

Another way to see this is to note from the table that 4 bracelets are made in 60 minute, which is 1 hour.  So, in 4 hours, 16 bracelets will be made. Also, from the table, 2 bracelets are made in 30 minutes, which is 1/2 hour.  So, adding up, 18 bracelets are made in 4.5 hours.

4 0
3 years ago
A ball is thrown upward from the top of a building. The function below shows the height of the ball in relation to sea level, f(
Marina86 [1]
f(t) =  -16t^{2} +48t + 100
Average rate of change from t = 3 seconds to t = 5 seconds = \frac{f(5)-f(3)}{5-3} =  \frac{(-16( 5^{2})+48(5)+100)-(-16( 3^{2})+48(3)+100  }{2}=\frac{(-16(25)+240+100)-(-16(9)+144+100)}{2} = \frac{(-400+240+100)-(-144+144+100)}{2}= \frac{-60-100}{2} = \frac{-160}{2} = -80
5 0
3 years ago
A jar of marbles contains 7 blue marbles, 12 yellow marbles, 8 green marbles, and 5 red marbles. Use this information to answer
AnnZ [28]
Total marbles = 7 + 12 + 8 + 5 = 32
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Yellow marbles = 12

P(green ,then yellow) = (8/32)(12/32) = 3/32

Answer: The probability is 3/32
8 0
3 years ago
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