Equation of a line passing through point (x1, y1) with slope m is given by y - y1 = m(x - x1)
For perpendicular lines, the slope of the required line is given by -1 divided by the slope of the given line.
5x + 3y = 0
3y = -5x
y = -5/3x
slope of the given line is -5/3.
Thus, the slope of the required line = -1/(-5/3) = 3/5
y - 3/4 = 3/5(x - 7/8)
5(y - 3/4) = 3(x - 7/8)
5y - 15/4 = 3x - 21/8
40y - 30 = 24x - 21
24x - 40y = -30 + 21 = -9
24x - 40y = 9.
Answer:
yes
Step-by-step explanation:
Answer
Step-by-step explanation:
the ticket prices for an individual adult and student is not given in the question. But no worries! Let's say:
- the ticket price for an adult is , and
- the ticket price for a student is .
from the question we can pick out that
- the number of adults is
- the number of students is
<u>Finally, we can come up with the equation: </u>
It is stated that atleast the $1500 worth of tickets should be sold.
In other words, the tickets sold should be worth greater or equal to $1500.
the tickets sold =
this term above should be greater or equal to 1500
hence,
I think the value of x will be 6.
2x+2x+2x=12
6x=12
x=6
2(6) - 13
12 - 13
Answer:
x^2 - 12x + 37
x^2 + 16
x^2 + 6x + 34
Step-by-step explanation:
Let's expand the first one:-
(x - 6 + i)(x - 6 - i)
= x^2 - 6x - ix - 6x + 36 + 6i + ix - 6i - i^2
= x^2 - 12x -ix + ix - 6i + 6i + 36 - (-1)
= x^2 - 12x + 37 (answer).
(x + 4i)(x - 4i)
= x^2 + 4ix - 4ix -16 i^2
= x^2 + 16 (answer).
(x + 3 + 5i)(x + 3 - 5i)
= x^2 + 3x - 5ix + 3x + 9 - 15i + 5ix + 15i - 25 i^2
= x^2 + 6x + 34. (answer).