Write the equation for a line that is perpendicular to the line 8x-4y=12 and passes through the orgin
1 answer:
Answer:
y = - x
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 8x - 4y = 12 into this form
Subtract 4x from both sides
- 4y = - 8x + 12 ( divide all terms by - 4 )
y = 2x - 3 ← in slope- intercept form
with slope m = 2
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
Since the line passes through the origin then c = 0
y = - x ← equation of perpendicular line
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Answer:
<u>14 students</u> at Hamilton Middle School have red hair.
Step-by-step explanation:
Given:
2%, percent of the students at Hamilton Middle School have red hair.
There are 700 students at Hamilton Middle School.
Now, to find the number of students at Hamilton Middle School having red hair.
Total number of students = 700.
Percent of the students at Hamilton Middle School have red hair = 2%.
Now, to get the number of students at Hamilton Middle School having red hair:
Therefore, 14 students at Hamilton Middle School have red hair.
<h2>QUESTION</h2>
What is 33% of 400?
<h2>ANSWER AND EXPLANATION</h2>To find the percent of a number, you have to change the percent into a decimal or a fraction and multiply by the number.
<h3>DECIMAL</h3>To change a percent into a decimal, remove the percent sign and move the decimal point 2 places to the left.
Now that you have your decimal, multiply by 400:
ANSWER = 132
<h3>FRACTION</h3>To change a percent into a fraction, make the percent number as the numerator(top number) and 100 as the denominator(bottom number) since fractions are out of 100.
Now that you have your fraction, multiply by 400:
ANSWER = 132
<em>If you have any questions, feel free to ask in the comments! :)</em>