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3 years ago

What is the equation of the line that is parallel to the line x = –2 and passes through the point (–5, 4)?x = –5x = 4y = –5y = 4

Mathematics

2 answers:

Ad libitum [116K]3 years ago

7 0

Answer:

Step-by-step explanation:

Rainbow [258]3 years ago

3 0

x = -5 is the equation of the line that is parallel to the line x = –2 and passes through the point (–5, 4)

Solution:

Given that, we have to write the equation of line that is parallel to line x = -2 and passes through point (-5, 4)

From given,

The equation of the line in standard form is x = -2

This is a vertical line, so the parallel line will also be a vertical line of the form:

x = a

Since we are given that the line should pass through the point (-5, 4) then the equation of the line is:

x = -5

Thus the equation of line is found

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150 - 36 = 114 os remaining;
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Read 2 more answers

Paolo Portraits charges $15 per photo with no sitting fee. The graph shows the fees for clear image studio.Compare the functions

liubo4ka [24]

Answer:

The rate of change of Paolo Portraits is $15 per photo and the rate of change of clear image studio is $12 per photo. Paolo Portraits charges are higher than the clear image studio.

Step-by-step explanation:

The rate of change represent the change in one variable with respect to another variable. It also known as slope.

It is given that Paolo Portraits charges $15 per photo with no sitting fee. It means the rate of change of Paolo Portraits is $15 per photo.

The function for Paolo Portraits charges is defined as

$f(x)=15x$

From the given graph it is noticed that the line is passing through the points (0,0) and (1,12).

The slope of the line is

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{12-0}{1-0}=\frac{12}{1}=12$

The function for clear image studio is

$g(x)=12x$

It means the rate of change of clear image studio is $12 per photo.

The rate of change of Paolo Portraits is more than rate of change of clear image studio.

Therefore Paolo Portraits charges are higher than the clear image studio.

3 0

3 years ago

Divide. Write the quotient in lowest terms, 1 1/3 divided by 1 3/4. Please give a thorough explanation as i need help to figure

GaryK [48]

Answer:

Step-by-step explanation:

convert mixed fractions to improper fractions

rule=a b/c=(ac+b)/c

(1 1/3)/(1 3/4)

(4/3)/(7/4)

rule for dividing fractions=(a/b)/(c/d)=(a/b)(d/c)

(4/3)(4/7) then you can multiply the numerators and denominators

16/21

7 0

3 years ago

A questionnaire has determined that 20% of the residents of Flaugamuck County own an iPod. Furthermore, 80% of these iPod owners

nydimaria [60]

Answer:

P = 7.14%

The percentage of those 30 years or older that own an ipod is 7.14%

Step-by-step explanation:

Given;

Percentage of ipod owners Pi = 20%

Percentage who don't own ipod Pd = 100-20 = 80%

For age 30 or older;

Percentage of ipod owners who belong to this group

Po = 20% of Pi

Percentage who don't have an ipod but belong to this group Pu = 100-35% = 65% of Pd

The percentage of those 30 years or older that own an ipod is;

P = Po/(Po+Pu) × 100%

Po = 20% of Pi = 20% of 20% = 0.2×20 =4%

Pu = 65% of Pd = 65% of 80% = 0.65×80% = 52%

Substituting the values;

P = 4/(4+52) × 100%

P = 7.14%

5 0

3 years ago