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Serjik [45]
2 years ago
14

Find the equation for the line that passes through the point (1,3), and that is perpendicular to the line with the equation y +

3 = -1/4(x-2)
Mathematics
1 answer:
Marianna [84]2 years ago
5 0

Step-by-step explanation:

the slope of a line function is always the factor of x.

in our case : -1/4

it is the ratio y/x indicating how many units y changes, when x changes a certain amount of units.

in our case y decreases by 1 for every x increase by 4.

now, the perpendicular slope simply changes x and y upside-down and flips the sign.

in our case it is : 4/1 = 4

so, the line function in point slope form is then (using the new slope and the point coordinates)

y - 3 = 4(x - 1)

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12x - 2/3 = 83 1/3 <br><br> 12x=?<br><br> x=?
Serjik [45]

Answer:

12x = 84

x = 7

Step-by-step explanation:

12x = 83 1/3 + 2/3

12x = 84

x = 84/12

x = 7

Hope that helps!

4 0
2 years ago
QUICKKK!!!!! PLEASEEEEEEEEEE
Valentin [98]

Answer:

10.29 (rounded = 10.30)

Step-by-step explanation:

X = a^2 + b^2 = c^2

X = 9^2 + 5^2 = c^2

X = (81) + (25) = c^2

X = 106 = c^2

X = √106 = c^2

X = 10.295630141 = c^2

X = 10.03 = c^2 (10.03 is 10.295630141 rounded to the nearest tenth)

5 0
3 years ago
Naomi asked several classmates how much cash they had in their pocket. She recorded the data below:
AfilCa [17]

Answer:

the answer is $2,883$

Step-by-step explanation:

8 0
2 years ago
An experiment is completed where a coin is flipped and a six-sided die (singular for dice) is rolled. The outcomes from the expe
victus00 [196]

Answer:

1) 16\frac{2}{3}% or 20%

Step-by-step explanation:

Given that:

An experiment which is carried out by flipping a coin and rolling six sided die.

The outcomes can be:

{H1, H2, H3, H5, H6, T1, T1, T2, T3, T5}

As per question statement:

Number of outcomes having tails and an odd number greater than one is 2 (i.e. T3 and T5)

Total number of outcomes here is 10.

Therefore, to find the percentage, we use the following formula:

\dfrac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\times 100

\Rightarrow \dfrac{2}{10}\times 100 = 20\%

As per question statement, the answer is 20%.

If we consider all the outcomes, i.e.

{H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6}

Total number of outcomes = 12

The percentage will come out be :

\Rightarrow \dfrac{2}{12}\times 100 = 16\frac{2}{3}\%

7 0
2 years ago
Since YouTube first became available to the public in mid-2005, the rate at which video has been uploaded to the site can be app
xeze [42]
You have to solve this integral

\int\limits^7_{0.5} {525600(0.42 t^{2} +2.7t-1)} \, dt

That integral is easy to solve:

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6 0
3 years ago
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