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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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Which relationship between x and y in the equation shows a proportional relationship

balandron [24]

Answer:

The equation y = 3x shows a proportional relationship between x and y

Step-by-step explanation:

<em>The proportional relationship is represented graphically by a line passes through the </em><em>origin point </em>

<em>The equation of the proportional relationship is </em><em>y = m x</em>

Let us solve the question

Substitute x by 0 to find the value of y, if y = 0, then the line represents this equation passes through the origin point, then the equation shows a proportional relationship

∵ y = 3x

∵ x = 0

∴ y = 3(0)

∴ y = 0

→ That means the line that represents the equation passes through

the origin point

∴ The equation y = 3x shows a proportional relationship between x and y

7 0

3 years ago

Two cards are selected from a standard deck of 52 playing cards the first card is not replaced before The second card is selecte

spin [16.1K]

Answer:

1/2652

Step-by-step explanation:

1/52*1/51=1/2652

4 0

3 years ago

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Dmitry_Shevchenko [17]

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3 years ago

How to right a polynomial function with a degree of 7 and a leading coefficient of 3

tia_tia [17]

Answer:

Step-by-step explanation:

I assume you mean to write a polynomial function. I don't know how righting works.

The simplest one I can think of is

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4 0

2 years ago

A group of 4 friends went to lunch and spent a total of $40, which included the $34 food bill and the tip. They decided to split

Ber [7]

The amount each friend paid for food is $8. 50 for the food and $1. 50 for the tip.

<h3>What is division?</h3>

The division is one of the most basic mathematical operators. It is used when a number is to be distributed equally in n number of parts.

As it is given that the total of 4 friends went to the lunch, the total amount paid by them is $40, but the food bill was just $34, therefore, the rest of the amount was paid in the tip. If we calculate the tip,

Tip = Total spent - Food bill

Tip = $40 - $34

Tip = $6

Now, as it is that the total amount spend by all on the food is $34, and it is to be divided among the four friends, therefore, the amount paid by each of the friends is,

$\text{Total amount to be paid by each friend}=\dfrac{\text{Total amount spent by all on food}}{\text{Number of friends}}\\\\\text{Total amount to be paid by each friend}=\dfrac{\$34}{4}\\\\\text{Total amount to be paid by each friend}=\$8.5$

Further, the total amount tip by all is $6, and it is to be divided among the four friends, therefore, the amount paid by each of the friends is,

$\text{Total amount to be paid by each friend}=\dfrac{\text{Total Tip}}{\text{Number of friends}}\\\\\text{Total amount to be paid by each friend}=\dfrac{\$6}{4}\\\\\text{Total amount to be paid by each friend}=\$1.5$

Hence, the amount each friend paid for food is $8. 50 for the food and $1.50 for the tip.

Learn more about Division:

brainly.com/question/369266

8 0

2 years ago