The linear equation that is perpendicular to the line x+3y=21 is:
y = 3*x - 6
<h3>How to find the equation of the line?</h3>
A general line in the slope-intercept form is written as:
y = m*x + b
Where m is the slope and b is the y-intercept.
Two linear equations are perpendicular if the product between the two slopes is equal to -1.
Rewriting the given line we can get:
x +3y = 21
3y = 21 - x
y = 21/3 - x/3
y = (-1/3)*x + 21/3
Then the slope is (-1/3), if our line is perpendicular to this one, then:
m*(-1/3) = -1
m = 3
our line is:
y = 3*x + b
To find the value of b, we use the fact that our line passes through (1, - 3)
-3 = 3*1 + b
-3 - 3 = b
-6 = b
The line is y = 3*x - 6
Learn more about linear equations:
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Answer:
4
Step-by-step explanation:
20×25 = 500
20 guest
25 dollars per guest
75s+200= 500
75s = 300
S = 4
They can afford to buy 4 cases of snacks and stay within their budget.
The list price was $465 (465=387.5 / (5/6))according to the information on the question above. This problem can be solved using the percentage and fraction principle of the mathematics. In this problem, 16 and two-thirds % is equal to the one-sixth fraction, therefore, the current price is the 5/6 portion of the list price.
Po ^2 = 6^2 + 8^2
Po^2 = 36 + 64 = 100
So Po = 10
Sin x = 8/po = 8/10= 0.8
Cos y = 6/po = 6/10=0.6
Answer:
The answer is 16
Step-by-step explanation:
34-23=11 then 11+5 = 16
