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dimaraw [331]
2 years ago
13

Given the line y=3/5x+2 find the perpendicular line passing through the point (12,-7)

Mathematics
1 answer:
Monica [59]2 years ago
7 0

Answer:

y=-5/3x+13.

Step-by-step explanation:

As a line that is perpendicular to anoher line has a slope that is the negative reciprocal of the line's original slope, we know that the slope of our new line is -5/3. As it passes point (12, -7), we can use the point slope formula which is y-y1=m(x-x1). So plug in, y+7=-5/3(x-12) and that gives us y+7=-5/3x+20 which gives our final answer of y=-5/3x+13.

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Which number has both 2 and 5 as prime factors?
musickatia [10]

Answer:

Any multiple of 10

Step-by-step explanation:

A factor is defined as "a number or quantity that when multiplied with another produces a given number or expression." For example, the factors of 20 are 1, 2, 4, 5, 10, and 20.

When we multiply 2 and 5 together, we get 10. Multiplying this by anything else besides 0 will still yield something that has 2 and 5 as factors, for example 2 times 5 times 3 is 30. As this is just the same thing as multiplying 10 by 3, the answer is any multiple of 10.

4 0
3 years ago
Which of these equations would give you the balance on an account with a principal of $3000 and an interest rate of 8%, compound
GrogVix [38]
It would be 3000 x 1.08^5
8 0
3 years ago
Given the recursive formula:<br> a1=3<br> An=2(an-1+1)<br> Find a2 a3 a4
fenix001 [56]

Answer:

a_2 = 8

a_3 = 18

a_4 = 38

Step-by-step explanation:

We are given the following recursive formula:

a_n = 2(a_{n-1}+1)

And consider a_1 = 3

a2

a_2 = 2(a_1 + 1) = 2(3 + 1) = 8

a3

a_3 = 2(a_2 + 1) = 2(8 + 1) = 18

a4

a_4 = 2(a_3 + 1) = 2(18 + 1) = 38

6 0
3 years ago
The following back to back stemplot represents the amount a sample of students spent on their last haircut. Because there are si
krek1111 [17]

The 5 - number summary of the distribution obtained from the boxplot is :

  • Minimum = 20
  • Maximum = 85
  • Lower quartile = 35
  • Median = 44
  • Upper quartile = 58
  • Outlier = 100

Firstly, we need to extract the values for the amount spent by females :

20, 25, 25, 35, 37, 38, 39, 43, 45, 46, 50, 53, 60, 70, 85, 100

The five number summary include ;

  • Minimum, lower Quartile, Median, Upper Quartile and Maximum values.

Rearranging the data in ascending order :

20, 25, 25, 35, 37, 38, 39, 43, 45, 46, 50, 53, 60, 70, 85, 100

The boxplot clearly and easily gives the five number summary of the distribution :

  • Minimum = 20 (starting point of the whisker)
  • Lower quartile = 35 (starting point of the box)
  • Median = 44 (vertical line in between the box)
  • Upper quartile = 58 (endpoint of the box)
  • Maximum = 85 (endpoint of the upper whisker).

Outlier :

  • Lower boundary = LOWER QUARTILE - (1.5 × IQR)
  • Upper boundary = UPPER QUARTILE + (1.5 × IQR)
  • IQR = UPPER QUARTILE - LOWER QUARTILE
  • IQR = (58 - 35) = 23

Lower boundary = 35 - (1.5 × 23) = 0.5

Upper boundary = 58 + (1.5 × 23) = 92.5

  • The point denoted by a dot on the boxplot is an outlier = 100

Hence, values lesser than 0.5 or greater than 92.5 are outliers.

Therefore, 100 is an outlier.

Learn more : brainly.com/question/24582786

7 0
2 years ago
Nando is on a rehabilitation program following a car accident. For the first month, he needs to exercise at most five hours per
emmasim [6.3K]

Answer:

See explanation

Step-by-step explanation:

Let x be the number of hours per week Nando is brisk walking  and y be the number of hours per week Nando is  biking at a moderate pace.

For the first month, he needs to exercise at most five hours per week, then

x+y\le 5

Brisk walking burns about 350 calories per hour, then it burns 350x calories per x hours.

Biking at a moderate pace burns about 700 calories per hour, then it burns 700y calories per y hours.

Nando must burn at least 2,000 calories per week, so

350x+700y\ge 2,000

You get the system of two inequalities:

\left\{\begin{array}{l}x+y\le 5\\ 350x+700y\ge 2,000\end{array}\right.

The attached graph shows the solution set to this system of inequalities. In this diagram, red region represents the solution set to the first inequality, blue region represents the solution set to the second inequality and their intersection is the solution set to the system of two inequalities.

4 0
3 years ago
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