For numbers 9 and 10, we are dealing with negative exponents.
The rule of exponents states that any quantity b, taken to the power -n, equals the reciprocal of b, taken to the nth power.
Example: x⁻³ = 1 / x³
Number 9: ( 3 / y² ) ⁻³
Step 1: take the reciprocal:
( 3 / y² ) ⁻³ = ( y² / 3 ) ³
Step 2: distribute the exponent
( y² / 3 ) ³ = y⁶ / 27
Try to do number 10 on your own. If you have any questions, comment.
Answer:
| a - b | < length of third side < a + b
Step-by-step explanation:
Visualize the two given sides of the triangle (let's call then a and b), joined at the vertex of the triangle, and forming an angle. We can join the other free end of these two segments, with another segment whose length would vary according to how tiny or large the angle is. We can spread the aperture of the angle they form as much as we can just below (not reaching this angle measure, because in such case, there will be no triangle of tangible area. In such case, the length of the joining segment will be limited by the addition of the two sides:
length of third side < a + b
In the case the aperture of the angle formed by the two given sides is diminished as much as possible to still form a measurable triangle, the angle has to be just larger than zero, and in such case, the segment joining the other to ends of a and b would be just larger than the absolute value of the difference between a and b:
length third side > | a - b|
These are the two extreme cases, and the length of the third side must be within these limits.
Answer:
Quadratic
0,-6
0,2 and 0,6
sorry i dont know how to do this one but I can link a video in the comments if you need it ;^;
ok this should be -6 but im not 100% sure
Answer: +/-
= s
Step-by-step explanation:
A= S^2
then square root both sides

+/-
= s
F(x)=(x²+6x-8)/(x-8) has a vertical asymptote at x=8. When x is large f(x) approaches x which is a 45 degree line (gradient 1). There is no horizontal asymptote.