Answer:
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
m = slope = (change in the value of y on the vertical axis) / (change in the value of x on the horizontal axis)
The equation of the given line is
9x+7y=4
7y = 4 - 9x = -9x + 4
y = -9x/7 + 4/7
Comparing with the slope intercept form, slope = -9/7
If the line passing through the given point is perpendicular to the given line, it means that its slope is the negative reciprocal of the slope of the given line.
Therefore, the slope of the line passing through (7,-4) is 7/9
To determine the intercept, we would substitute m = 7/9, x = 7 and y = - 4 into y = mx + c. It becomes
- 4 = 7/9×7 + c = 49/9 + c
c = - 4 - 49/9
c = - 85/9
The equation becomes
y = 7x/9 - 85/9
Answer:
the arithmetic sequence ai is defined by the formula: a1= 2 ai= ai - 1 -3 find the sum of the first 335 terms in the sequence. 1.
Answer:
A ; y = 2229-x
Step-by-step explanation:
The question is asking for us to find how many seats are left that can be sold. There are 2463 total seats, 234 reserved seats, and x non-reserved seats.
If we subtract the 234 reserved seats from total seats, we will get 2229, the number of non-reserved seats and the not sold seats.
Since x is the non-reserved seats, we can subtract x from 2229 to get the number of seats that aren't sold.
Answer:
65 tickets for children
Step-by-step explanation:
In this case we can solve it by means of a 2x2 system of equations, like this:
Let x be the ticketsr of children
let y be the tickets of adults
Thus:
5.3 * x + 9.4 * y = 852.1
x + y = 119 => x = 119 - y
replacing, we are left with:
5.3 * (119 - y) + 9.4 * y = 852.1
630.7 - 5.3 * y + 9.4 * y = 852.1
9.4 * y - 5.3 * y = 852.1 - 630.7
4.1 * y = 221.4
y = 221.4 / 4.1
y = 54
Now to calculate x:
x = 119 - 54
x = 65
Which means that there are 65 tickets for children and 54 tickets for adults.
