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DerKrebs [107]
3 years ago
8

Find the equation of the line that is perpendicular to y = -2/3x and contains the point (4, -8)

Mathematics
1 answer:
Mashutka [201]3 years ago
4 0

i dont get it plz explan

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Solve the compound inequality 10 + x < 20 and 4x > -24
kotykmax [81]

Answer:

c

Step-by-step explanation:

1.) move all terms that are not x to the right side.of the inequalities.

10+x≤20 <u>4x</u>≥<u>-24</u>

-10 -10 4 4

x≤10 x≥-6

2.) combine the two equations to make -6≤x≤10

6 0
3 years ago
Solve t/he system of linear equations given by x + y = 1 and ax − by = c, where a, b, c are real numbers. Note: The solution in
Phantasy [73]

Answer:

see explanation

Step-by-step explanation:

Given the 2 equations

x + y = 1 → (1)

ax - by = c → (2)

In (1) subtract y from both sides

x = 1 - y → (3)

Substitute x = 1 - y into (2)

a(1 - y) - by = c ← distribute left side

a - ay - by = c ( subtract a from both sides )

- ay - by = c - a ( multiply through by - 1 )

ay + by = a - c ← factor out y from each term on the left side

y(a + b) = a - c ← divide both sides by (a + b)

y = \frac{a-c}{a+b} ← substitute into (3)

x = 1 - \frac{a-c}{a+b} = \frac{a+b}{a+b} - \frac{a-c}{a+b} = \frac{a+b-a+c}{a+b} = \frac{b+c}{a+b}

8 0
2 years ago
A local library claims it has 2.73x103 books. If there are 42 people in the building, how many books per capita are there?
Marizza181 [45]

Answer:

63 books per capita in the library

<em></em>

Step-by-step explanation:

Given

Books = 2.73 * 10^3

People = 43

Required

Determine the book per capita

To do this, we simply divide the number of books by number of person;

Average = \frac{Books}{People}

Average = \frac{2.73 * 10^3}{43}

Average = \frac{2.73 * 1000}{43}

Average = \frac{2730}{43}

Average = 63.488372093

Average = 63 (Approximated)

Hence;

<em>There are 63 books per capita in the library</em>

7 0
2 years ago
Dany bought a total of 20 game cards some
elixir [45]
12 cards : $0.25
8 cards : $0.15
8 0
3 years ago
Graph the linear equation. Find three
Karo-lina-s [1.5K]
-3y = -2x -6

Y= 2/3x + 2


When x= 3
Y= 2/3(3) + 2
Y= 2+2 = 4

(3,4)


When x= 6
Y=2/3(6)+2
Y= 4+2 = 6

(6,6)


When x= 12
Y= 2/3(12) + 2
Y= 8+2=10

(12,10)
4 0
3 years ago
Read 2 more answers
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