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3 years ago

Write an equation for the line in the given form.

Mathematics

1 answer:

nexus9112 [7]3 years ago

3 0

Answer:

5x +y = 34

Step-by-step explanation:

Since a point and slope are given, it is convenient to start with point-slope form, then rearrange the equation to put it into standard form.

For slope m through point (h, k), the point-slope form of the equation of a line is usually written ...

y -k = m(x -h)

For m=-5 and (h, k) = (6, 4), the equation is ...

y -4 = -5(x -6)

y -4 = -5x +30 . . . . . eliminate parentheses

Standard form looks like ...

ax + by = c

where a > 0 and GCD(a, b, c) = 1. Here's how we can get there.

5x +y -4 = 30 . . . . . . add 5x

5x +y = 34 . . . . . . . . . add 4 to get standard form.

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Y is 32 when x is 4

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photoshop1234 [79]

Answer:

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Step-by-step explanation:

Slope intercept form:

y = mx + b

Use two points from the graph:

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3 years ago

Read 2 more answers

Use the method illustrated in the solutions to Exercise 9.2.39 to answer the following questions. (a) How many ways can the lett

Jobisdone [24]

Answer:

(a) 720 ways

(b) 120 ways

Step-by-step explanation:

Given

$Word = DANCER$

$n =6$ --- number of letters

Solving (a): Number of arrangements.

We have:

$n =6$

So, the number of arrangements is calculated as:

$Total =n!$

This gives:

$Total =6!$

This gives:

$Total =6*5*4*3*2*1$

$Total =720$

Solving (b): DA as a unit

DA as a unit implies that, we have:

[DA] N C E R

So, we have:

$n = 5$

So, the number of arrangements is calculated as:

$Total =n!$

This gives:

$Total =5!$

This gives:

$Total =5*4*3*2*1$

$Total =120$

Solving (c): NCE as a unit

NCE as a unit implies that, we have:

D A [NCE] R

So, we have:

$n = 4$

So, the number of arrangements is calculated as:

$Total =n!$

This gives:

$Total =4!$

This gives:

$Total =4*3*2*1$

$Total =24$

8 0

3 years ago