2x^3 + 2x^2 + 5x + 1/ x^2
Answer:
The inverse is (x^2-5)/2
Step-by-step explanation:
y =sqrt(2x+5)
Exchange x and y
x = sqrt(2y+5)
Solve for y
Square each side
x^2 = (sqrt(2y+5))^2
x^2 = 2y+5
Subtract 5 from each side
x^2 -5 = 2y-5+5
x^2 -5 = 2y
Divide each side by 2
(x^2-5)/2 = 2y/2
(x^2-5)/2 = y
The inverse is (x^2-5)/2
Here's the solution,
=》
=》
now, let's multiply the whole equation with 4
=》
=》
=》
=》
so,
Case 1. where, 2x - 5 = 0
=》
case 2. where, 2x - 1 = 0
=》
Answer:
Find distance between A (-3, 5) and B (4, -6)
Explanation:
Use formula for distance:
d
2
=
(
x
2
−
x
1
)
2
+
(
y
2
−
y
1
)
2
d
2
=
(
4
+
3
)
2
+
(
−
6
−
5
)
2
=
49
+
121
=
170
d = 13.04
Answer:
136.34 m to the nearest hundredth.
Step-by-step explanation:
The runners paths and the distance between them after 30 second form a triangle.
The side opposite the 85 degree angle is 180 m and one of the other sides is 130 m.
We need to find the third side.
We can use the Cosine Rule to do this:
If the third side is x m then:
180^2 = 130^2 + x^2 - 2*130x cos 85
180^2 = 130^2 + x^2 - 260 * x * 0.08716
180^2 = 130^2 + x^2 - 22.6616 x
x^2 - 22.6616 x - 15500 = 0
x = [22.6616 +/- sqrt ((-22.6616)^2 - 4 * -15500) ] / 2
x= 136.34 m.
