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3 years ago

What is the equation of line perpendicular to y-3=-4(x+2) and passee through the point (-5,7

Mathematics

1 answer:

netineya [11]3 years ago

7 0

Answer: $y=\frac{1}{4}x+\frac{33}{4}$

Step-by-step explanation:

1. By definition, two slopes are perpendicular if their slopes are negative reciprocals of each other. So, let's find the slope of the other line.

2. The equation given in the problem is written in Point-slope form:

$y-y_1=m(x-x_1)$

Where m is the slope.

3. Therefore, the slope of its perpendicular line must be:

$m=\frac{1}{4}$

4. You have the point (-5,7), so you can substitute it into the point-slope formula to find the equation of the new line:

$y-7=\frac{1}{4}(x+5)$

5. In slope intercept form is:

$y=\frac{1}{4}x+\frac{5}{4}+7\\y=\frac{1}{4}x+\frac{33}{4}$

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NEED HELP ASAP

Mkey [24]

Answer:

Option: A is correct.

A) a part of a line that has one endpoint and extends indefinitely in one direction

Step-by-step explanation:

" A ray is a line that starts at a given point and goes off for ever in some direction. It may pass through another point as it does so "

Hence, option A is correct.

( The definition of Ray is:

A) a part of a line that has one endpoint and extends indefinitely in one direction )

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3 years ago

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lilavasa [31]

Answer:

Step-by-step explanation:

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3 years ago

Mable has 185 dollars worth of apples. Each apple is worth more then 3 dollars but less then 10 dollars. The number has four let

velikii [3]

Answer:

The worth of each of Mable's apples is $5

Step-by-step explanation:

Extracting the key information from the question:

***Mable has apples that are worth a combined 185 dollars.

*** One apple from Mable's apples worth more than three ($3) dollars but less than ten ($10) dollars.

***The cost of one apple is a number that has four letters.

*** That number (the cost) of one apple is also a prime number.

*** We are required to find or determine the worth of one of Mable's apples.

Now, one of the clues given to us which we may use to figure out the cost or worth of one apple is that the apple is worth more than three dollars ($3) but worth less than ten dollars ($10). This means that each Mable's apple may worth $4 or $5 or $6 or $7 or $8 or $9. That is one of Mable's apples worth from $4 to $9

Another clue to solving this puzzle is that the worth of one apple in dollars is a prime number. This implies that one of Mable's apples may worth either five dollars ($5) or seven dollars ($7).

The next clue for unravelling this mystery is that all Mable's apples are worth a combined $185. This then means that the worth of each apple (the number) must be able to divide 185.

Since $7 and $5 are the only two figures left standing, we will then try and see which one of them will be able to do divide the number "185".

185/7 = 26 remainder 3

185/5 = 37 remainder 0

The final clue in the question is that the worth of each of Mable's apples is a figure/number that has only letters:

$7 SEVEN has = 5 letters

$5 FIVE has = 4 letters

This now brings us to the conclusion that the worth of each of Mable's apples is five dollars ($5) since it meets all the requirements and clues in the question.

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3 years ago

X+2=9 into a word problem

Stolb23 [73]

Robin has to go shopping for her brother's birthday.

She already bought "x" presents for him.

The next day, Robin bought "2" more presents for him just in time for his birthday.

When she got home and celebrated his birthday, her beother opened, in total, "9" presents.

--- What is the number of presents that Robin had originally purchased? ---

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4 years ago

Last year your school had 1200 students enrolled, this year your school has135% of that amount enrolled. how many students are e

iren2701 [21]

1200 = 100%
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There are 1620 students enrolled this year.

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3 years ago