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3 years ago

Consider the line 7x+9y=5

Mathematics

1 answer:

alisha [4.7K]3 years ago

4 0

Answer:

The slope of a line parallel to this line will be: -7/9

The slope of the perpendicular line will be:

$\frac{-1}{\frac{-7}{9}}=\frac{9}{7}$

Step-by-step explanation:

We know the slope-intercept form

$y=mx+b$

Here,

m is the slope

b is the y-intercept

Given the equation

$7x+9y=5$

simplifying to write in the lope-intercept form

$y=-\frac{7}{9}x+\frac{5}{9}$

Thus, the slope of the line is: -7/9

The slope of a line parallel to the line:

We have already determined that the slope of the line is: -7/9

We know that the parallel lines have the same slope.

Thus, the slope of a line parallel to this line will be: -7/9

The slope of a line perpendicular to the line:

We have already determined that the slope of the line is: -7/9

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line.

Thus, the slope of the perpendicular line will be:

$\frac{-1}{\frac{-7}{9}}=\frac{9}{7}$

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OperumONS UNTUI a) Find the greatest number that divides 36, 45 and 63 without leaving a remainder. b) c) Find the greatest numb

larisa86 [58]

Answer:

a) The greatest number that divides 36, 45, and 63 without leaving a remainder is 9

b) The greatest number which exactly divides 90, 120, and 150 is 30

c) The greatest capacity of the bucket is 10 liters

d) The greatest number of people to whom the items can be distributed equally is 40 people

ii) 2 kg of wheat flour, 3 kg of corn and 4 kg of rice

e) The greatest number of children to whom the 48 orange, 80 bananas, and 144 apples can be distributed equally is 16

ii) 3 oranges, 5 bananas and 9 apples each

f) 5 mangoes at a time from the basket containing 120 mangoes

7 mangoes at a time from the basket containing 168 mangoes

g) The greatest length of each squared marble is 2 m

Step-by-step explanation:

a) The greatest number that divides 36, 45, and 63 without leaving a remainder = The highest common factor of 36, 45, and 63, which is given as follows;

36 = 9 × 4

45 = 9 × 5

63 = 9 × 7

Therefore, The greatest number that divides 36, 45, and 63 without leaving a remainder = The highest common factor of 36, 45, and 63 = 9

b) 90 = 30 × 3

120 = 30 × 4

150 = 30 × 5

The greatest number which exactly divides 90, 120, and 150 is 30

c) The factors of the volumes are;

50 l = 10 × 5 l

60 l = 10 × 6 l

70 l = 10 × 7 l

Therefore, the greatest capacity of the bucket = 10 liters

d) The masses of the items are

The factors of 80 = 40 × 2

120 = 40 × 3

160 = 40 × 4

Therefore the items can be distributed equally to 40 people

ii) Each person gets 2 kg of wheat flour, 3 kg of corn and 4 kg of rice

e) 48 = 16 × 3

80 = 16 × 5

144 = 16 × 9

Therefore, the greatest number of children = 16

ii) Each child gets 3 oranges, 5 bananas and 9 apples

f) The factors of 120 = 24 × 5

168 = 24 × 7

Therefore;

The greatest number of mangoes which is to be taken out of the basket with 120 mangoes = 5 mangoes each (24 times)

The greatest number of mangoes which is to be taken out of the basket with 168 mangoes = 7 mangoes each (24 times)

g) The area of the floor = 12 m × 10 m = 120 m²

The factor of 120 m² which is a perfect square is 4 therefore, we have;

The side length of each squared marble, s = √4 = 2

The side length of each squared marble, s = 2 m

7 0

3 years ago

8,4,6,6,7,7,9,4,8,5 find the mean

koban [17]

Answer: 6.4 is the mean of the set of numbers

Step-by-step explanation:

8+4+6+6+7+7+9+4+8+5=64

64 divided by 10 = 6.4

Hope this helps!

6 0

2 years ago

Read 2 more answers

Mrs. Cooper hosts an annual art contest for kids. She has records of the number of entries for the last 9 years. She received 30

Zanzabum

To graph this situation we must take into account the data and the organization of each of them on the X axis and Y axis.

<h3>How to graph this situation?</h3>

To graph this situation we must take into account the data we have:

Years
Tickets

Based on these data, we assign the horizontal axis to count years and the vertical axis to count tickets per year. We must continue the pattern of increased attendance over the years.

Learn more about graph in: brainly.com/question/16608196

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