Answer:
.
Step-by-step explanation:
Arithmetic sequence
.
First step, find its difference
.
So, we get
.
Finally, Let's find the 75th term
First, let's convert each line to slope-intercept form to better see the slopes.
Isolate the y variable for each equation.
2x + 6y = -12
Subtract 2x from both sides.
6y = -12 - 2x
Divide both sides by 6.
y = -2 - 1/3x
Rearrange.
y = -1/3x - 2
Line b:
2y = 3x - 10
Divide both sides by 2.
y = 1.5x - 5
Line c:
3x - 2y = -4
Add 2y to both sides.
3x = -4 + 2y
Add 4 to both sides.
2y = 3x + 4
Divide both sides by 2.
y = 1.5x + 2
Now, let's compare our new equations:
Line a: y = -1/3x - 2
Line b: y = 1.5x - 5
Line c: y = 1.5x + 2
Now, the rule for parallel and perpendicular lines is as follows:
For two lines to be parallel, they must have equal slopes.
For two lines to be perpendicular, one must have the negative reciprocal of the other.
In this case, line b and c are parallel, and they have the same slope, but different y-intercepts.
However, none of the lines are perpendicular, as -1/3x is not the negative reciprocal of 1.5x, or 3/2x.
<h3><u>B and C are parallel, no perpendicular lines.</u></h3>
Answer:
two unequal real roots
Step-by-step explanation:
35 - 5(4)(-3) simplifies to 35 + 60, or 95.
Because the discriminant is positive, the quadratic has two unequal real roots.
1. Collect like terms
(n - 0.3n) + (4.5 - 3)
2. Simplify
0.7n + 1.5
Final Answer:
0.7n + 1.5
A= 1/2 of base times height
