Answer:
1001
1
Step-by-step explanation:
If a quadratic function crosses the x-axis twice, it has two solutions. For a quadratic function in
with discriminant
, the following is true:
- If
, then the quadratic has two real solutions - If
, then the quadratic has one real solution - If
, then the quadratic has no real solutions
Therefore, in order to have two solutions, a quadratic's discriminant must be larger than 0. The only two answer choices that satisfy this are 1001 and 1.
Answer:1,200 meters per minute
Step-by-step explanation:
Answer:
b) 105°
d) 130°
Step-by-step explanation:
An external angle has the same measure as the sum of the remote internal angles.
b) ? = 25° +80° = 105°
d) ? = 35° +95° = 130°
_____
This should be fairly obvious if you consider that the adjacent internal angle together with the external angle totals 180°, and the adjacent internal angle together with the other two internal angles totals 180°.
If the two "remote" angles are A and B, and the adjacent internal angle is C, then we have in symbols ...
A + B + C = 180° = ? + C
If we subtract C, then we find ...
A + B = ? . . . . . . the fact we used above
U can see if it is a right triangle bu using the pythagorean theorem (or however it is spelled)
a^2 + b^2 = c^2....where a and b are the legs and c is the hypotenuse (the largest side)
so lets sub our numbers in and see if they equal
33^2 + 56^2 = 65^2
1089 + 3136 = 4225
4225 = 4225.......correct...so YES, this is a right triangle