What is the distance from the origin to point A graphed on the complex plane below?
1 answer:
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<em><u>Question:</u></em>
What is an equation of the line that passes through the point (3,6) and is parallel to the line 4x-3y=21
<em><u>Answer:</u></em>
<em><u>The equation of the line that passes through the point (3,6) and is parallel to the line 4x-3y=21 is:</u></em>
<em><u>Solution:</u></em>
Given that line passes through the point (3,6) and is parallel to the line 4x-3y=21
<em><u>The equation of line in slope intercept form is given as:</u></em>
y = mx + c ------- eqn 1
Where, "m" is the slope and "c" is the y intercept
<em><u>Given equation is:</u></em>
4x - 3y = 21
Rearrange,
3y = 4x - 21
On comparing above equation with eqn 1,
We know that slopes of parallel lines are same
Therefore, slope of line parallel to the line 4x - 3y = 21 is 4/3
<em><u>Substitute m = 4/3 and (x, y) = (3, 6) in eqn 1</u></em>
<em><u>Substitute c = 2 and m = 4/3 in eqn 1</u></em>
Thus the equation of line is found
Answer:
The number of clarinets musical store sold was 16. and number of trumpets musical store sold was 11.
Step-by-step explanation:
Let the musical store sells 'x' number of trumpets and 'y' number of clarinets.
According to question,
Total number of trumpets and clarinets sold is 27 that is
..............(1)
Also given Trumpets cost $149 and clarinets cost $99.
then the shop sold x trumpets for $149x and sold y clarinets for $99y and total sales were $3233.
thus, ...........(2)
Solving for equation (1) and (2),
Multiply equation (1) by 149 , we get
(1) ⇒ ........(3)
Now, subtract equation (3) from equation (2) , we get
Thus, number of clarinets musical store sold was 15.8 but since clarinets are to be in whole number rounding off to the nearest integer 16.
and put y = 16 in (1) , we get
Thus, number of trumpets musical store sold was 11.