Answer:2.5 or 2 with the remainder of 20
Step-by-step explanation:
+ discriminant => 2 real, unequal roots
0 discriminant => 2 real, equal roots
- discriminant => 2 imaginary or complex roots which are conjugates
Here the discriminant is -16. How many real number solutions does this equation have? Think before you make your choice!
<h3>
Answer:</h3>
1.25 < y < 8.32124...
<h3>
Step-by-step explanation:</h3>
The least y can be is the value that makes the angle in the smaller triangle be zero. (This condition will exist when the difference of side lengths is 4.)
... 4y -5 = 0
... y = 5/4 . . . . . add 5, divide by 4.
_____
The greatest y can be is the value obtained when the triangle is isosceles. For the larger triangle, that makes the side lengths (s) be ...
... 3/s = sin(43°/2)
... s = 3/sin(21.5°)
Then for the smaller triangle, that makes the angle be ...
... 4y -5 = arcsin(2/s) = arcsin(2/3·sin(21.5°))
... y = 1.25 + arcsin(2/3·sin(21.5°))/4
... y ≈ 8.32124
you could write it as 5:2 & you could also write it as 2:5
Answer: f(7) = f(4) + 3(3) = 15 + 9 = 24
Step by Step Explanation:
f(1) = 6
f(n) = f(n-1) + 3
f(2) = f(1) + 3 = 6+3 = 9
f(3) = f(2) + 3 = 12
f(4) = f(3) + 3 = 15
Each term is 3 more than the previous one
Therefore to get from the 4th term to the 7th term you will add 3
For a total of 3 more times.
f(7) = f(4) + 3(3) = 15 + 9 = 24
Hope this helps
