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3 years ago

Given the equation y-4=3/4(x + 8) in point-slope form, identifty the equation of the same line in standard form.

Mathematics

1 answer:

kari74 [83]3 years ago

6 0

Answer:

The point-slope form is y = 3/4x + 10 and the standard form is -3x + 4y = 40

Step-by-step explanation:

In order to find this equation in point-slope form, simply solve for the y value.

y - 4 = 3/4(x + 8)

y - 4 = 3/4x + 6

y = 3/4x + 10

Now to get to the standard form, solve for the constant, then rationalize the denominator.

y = 3/4x + 10

-3/4x + y = 10

-3x + 4y = 40

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Step-by-step explanation:

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3 years ago

What is the value of c in the equation below? 2^-4(2^2)=a^b=c

Triss [41]

Answer:

The answer is option 4.

Step-by-step explanation:

You have to use Indices Law,

${a}^{m} \times {a}^{n} = {a}^{m + n}$

${a}^{ - n} = \frac{1}{ {a}^{n} }$

So for this question :

${2}^{ - 4} \times {2}^{2}$

$= {2}^{ - 4 + 2}$

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3 years ago

Amy is growing basil. On February 1st her plant was 5 inches high. A week later, the plant’s height became 9 inches high. By wha

vladimir1956 [14]

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3 years ago

Read 2 more answers

Given M = the set of counting numbers and N = the set of even numbers, find M - N.

dedylja [7]

Answer:

M-N = set of odd numbers

M-N = 1,3,5,7,9,11,.....................................so on it till infinity

Step-by-step explanation:

M = the set of counting numbers

set of counting number are are all the numbers which is used for counting.

They are also called Natural numbers

In numerical form set of counting numbers can be represented as

M = the set of counting numbers = 1,2,3,4,5,6,7,8,9..............................till infinity

N = the set of even numbers

set of even numbers all the counting numbers which are multiple of two

In numerical form set of counting numbers can be represented as

N = the set of even numbers = 2,4,6,8,10,12................so on till infinity

__________________________________

now we have to find M-N

it means from set of counting number, all the even numbers would be excluded

IN such case

If we exclude all the even numbers, then only odd numbers will remain.

M-N will be = 1,3,5,7,9,11,.....................................so on it till infinity

If we look it closely , the given set is set of odd numbers

odd numbers are counting numbers in form of 2n+1 where n = 0,1,2,3....

Thus,

M-N can also be said as set of odd numbers

M-N = set of odd numbers

M-N = 1,3,5,7,9,11,.....................................so on it till infinity

3 0

3 years ago

A toy company spends $20 for every doll it makes. Promotion of the dolls costs $400 and the company sells each doll for $30. How

Romashka-Z-Leto [24]

Answer:

$20d+400< 30d$

Step-by-step explanation:

we know that

The profit is equal to the number of dolls multiplied by the selling price minus the number of dolls multiplied by the cost of each doll minus the cost of the promotion of the dolls

To make a profit, the number of dolls multiplied by the selling price minus the number of dolls multiplied by the cost of each doll must be greater than the cost of the promotion of the dolls

Let

d -----> the number of dolls

The linear inequality that represent this problem is

$30d-20d > 400$

Adds 20d both sides

$30d > 20d+400$

Rewrite

$20d+400< 30d$

4 0

3 years ago