Expand and simplify LHS - Apply identity sin^2x+cos^2x = 1 To verify: (cotx<span> - </span>cscx)(cosx+1) =-sinx LHS=(cosx/sinx - 1/sinx)(cosx<span>+1)</span>
Answer:
Step-by-step explanation:
The ys have to have the same value. That allows you to equate the right side of each y to each other.
-x^2 + 4 = 2x + 1 Subtract the right side from the left side.
-x^2 + 4 - 2x - 1 = 2x-2x +1 - 1 Combine
-x^2 - 2x + 3 = 0 Multiply both sides by - 1
-1(-x^2 - 2x + 3) = 0*-1 Remove the brackets
x^2 + 2x - 3 Factor
(x - 1)(x + 3 )
x - 1 = 0
x = 1
x + 3 = 0
x = - 3
So the line goes through x = 1 or x = - 3
x = 1
y = 2x + 1
y = 2(1) + 1
y = 3
x = - 3
y = 2(-3) + 1
y = - 6 + 1
y = - 5
Does the graph confirm this? See below.
red: y = -x^2 + 4
green: y = 2x + 1
Yes the graph is in agreement.
10. (5,8)(-3,7)
slope = (7 - 8) / (-3 - 5) = -1 / -8 = 1/8
11. (5,-2)(3,-2)...since both y values are the same, this line is a horizontal line with a 0 slope.
12. (-4,7)(8,-1)
slope = (-1 - 7) / (8 - (-4) = -8 / (8 + 4) = -8/12 = - 2/3
13. (6,-3)(6,4)....since both x values are the same, this line is a vertical line with a slope that is undefined
14. -2/5
Answer:
- if we are given a system of non-linear equations than we can plot the graph of the system of equations in the coordinate plane and depending on the sign of the inequality shade the region. and see the intersection region to obtain the feasible region and also the intersection point of the two plane in order to obtain a optimal solution.
- Constraints play a vital role in the real-world situation.
<em>For example:</em> we are given a cost of 1 pencil and one pen and we are given the maximum amount one has: then this problem could be modeled by the inequalities.
Answer:
$8789
Step-by-step explanation:
you suptract 9,400. and 6.5%
