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3 years ago

6

Analyze the diagram below and complete the instructions that follow.

1 answer:

balandron [24]3 years ago

5 0

The figure gives rise to two equations.
6y = 90
5y +3x = 180

There are several ways to go about this. Here's one.
2y = 30 . . . . . . divide the first equation by 3
(5y +3x) -(2y) = (180) -(30) . . . . subtract the equation above from the 2nd
x + y = 150/3 = 50 . . . . . . . . . . divide by 3

The appropriate choice is the 3rd one, ...
50

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Find the equation of the line going through the points (2,-1) and (5,2) 3x 2y

anastassius [24]

Answer:

The equation of the line is:

$y = x - 3$

Step-by-step explanation:

The general equation of a straight line is given by:

$y = ax + b$

Being given two points, we can replace x and y, solve the system and find the values for a and b.

Solution:

The line goes through the point $(2,-1)$ . It means that when $x = 2, y = -1$ . Replacing in the equation:

$y = ax + b$

$-1 = 2a + b$

$2a + b = -1$

The line also goes through the point $(5,2)$ . It means that when $x = 5 y = 2$ . Replacing in the equation:

$y = ax + b$

$2 = 5a + b$

$5a + b = 2$

Now we have to solve the following system of equations:

$1) 2a + b = -1$

$2) 5a + b = 2$

From 1), we have:

$b = -1 - 2a$

Replacing in 2)

$5a - 1 - 2a = 2$

$3a = 3$

$a = \frac{3}{3}$

$a = 1$

$b = -1 - 2a = -1 - 2 = -3$

The equation of the line is:

$y = x - 3$

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3 years ago

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mestny [16]

Answer:

k = 4

Step-by-step explanation:

Given,

$P(x)=x^{4} -2x^{3} +kx-4$

when , P(x) is divided by (x - 1) , the remainder = 0

⇒ $P(x) = (x-1)(x^{3} -x^{2} -x+4)$

hence, k = 4

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3 years ago

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Vaselesa [24]

Answer:

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