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Anika [276]
3 years ago
12

A line runs tangent to a circle at the point (4, 2). The line runs through the origin. Find the slope of the tangent line.

Mathematics
1 answer:
leva [86]3 years ago
5 0

Answer:

Slope of the tangent line (m) = 1 / 2

Step-by-step explanation:

Given:

Point A = (4,2)

Origin point = (0,0)

Find:

Slope of the tangent line (m)

Computation:

Slope of the tangent line (m) = (y2-y1) / (x2-x1)

Slope of the tangent line (m) = (2-0) / (4-0)

Slope of the tangent line (m) = 2 / 4

Slope of the tangent line (m) = 1 / 2

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twelve rolls of commercial-grade paper towels come in one case costing $23.58 What is the the cost per roll of paper towels
soldi70 [24.7K]
$23.58 divided by 12 = $1.965
Each roll is about $1.97 (if you round up)
3 0
3 years ago
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A line that includes the point 4, 6 has a slope of 3. what is its equation in slope intercept form
V125BC [204]
Y = 3x + b
6 = 3(4) + b
6 = 12 + b, b = -6
Equation: y = 3x - 6
7 0
3 years ago
How do you do 1/4 (16x+20)-7x
Ira Lisetskai [31]
Distribute the 1/4:
1/4(16x) + 1/4(20) - 7x

Do the multiplication:
1/4(16x) = 16x/4 = 4x
1/4 (20) = 20/4 = 5

Now you have:
4x + 5 - 7x = 0

Combine like terms (4x and -7x):
-3x + 5 = 0

Subtract 5 from both sides:
-3x = -5

Divide by -3:
x = -5/-3 = 5/3

Answer:
x= 5/3
6 0
3 years ago
Solve for x: −2x + 5 < 7
hoa [83]
-2x + 5 < 7

-2x + 5 < 7
<u>        -5     -5   </u>       deduct 5 from both sides
-2x       < 2
<u>÷ -2        ÷ -2  </u>       divide both sides by negative 2. Because of the division 
 x          > -1          using a negative number, the sign is then reversed.
                             from < it becomes >.

The value of x should be greater than -1. It can be 0, 1, 2, so on... 

To check: Revert back to the original sign which is <.

x = 1
-
2x + 5 < 7
-2(1) + 5 < 7
-2 + 5 < 7
3 < 7
7 0
3 years ago
Three kids play tennis at the same tennis courts. Mark plays every fourth day, David plays every seventh day and Bryan plays eve
jonny [76]

Answer:

Wednesday (9 weeks later) = 10th October.

Step-by-step explanation:

We label the days with the initials of the names.

M= 4

D = 7

B = 6

LCM of 6 +7 = 42

LCM of 6+7 + 4 = 84

We find 84 is the amount of days we need to add on to july 18th

We first find the weeks 84/7 = 9 weeks.

As Wednesday July 18th is exclusive it would be 84 days after this event.

18+ 84 = 102 days.

31 days in july = 31

31 days in Aug = 31

30 days in Sept = 30

= 92

102-92 = 10

We now know date is Wednesday 10th October

We can check 84 days = 9 weeks

13 days in July makes 31st july

31 days in Aug makes 31st Aug

30 days in Sept makes 30th Sept

= 74 days + 10 days = 84

10th October is the checked date and we know it is also a Wednesday as Wednesday had stayed exclusive and prove that there are 7 days in the week to account x 9, to account for an exact 9 weeks later duration.

6 0
4 years ago
Read 2 more answers
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