The answer should be C,
To solve this question, we have to use the rule of triangle inequality. This means, lengths of the any 2 sides of a triangle added up, must be longer than the remaining side.
Therefore, we can try and see which one of the options fits the rule.
A.
35+25 > 10 ✔️
25 + 10 = 35❌
A cannot make a triangle.
B.
15 + 10 > 5 ✔️
10 + 5 = 15 ❌
B cannot make a triangle.
C.
35 + 45 > 55 ✔️
45 + 55 > 35 ✔️
35 + 55 > 45 ✔️
C can make a triangle.
D.
25 + 25 < 75 ❌
D cannot make a triangle.
Therefore, the answer should be C.
-- When Riko left the house, Yuto was 5.25 miles ahead of her.
-- From the time she left the house, she gained (0.35 - 0.25) = 0.1 mile on Yuto
every minute ... closing the gap at the rate of 0.1 mile per minute.
-- If she can keep it up, she'll close the gap in (5.25 / 0.1) = 52.5 minutes.
-- Riko is behind her brother when 0 ≤ t < 52.5 minutes .
Equating the y's:-
3x + c = x^2 - 5x + 7
x^2 - 8x +7 - c = 0
If y = 3x + c is a tangent then there will be duplicate solutions to this equation
That is the discriminant b^2 - 4ac = 0. So we have:-
(-8)^2 - 4 * 1 * (7 -c) = 0
64 -28 + 4c = 0
4c = - 36
so c = -9 answer
- Rational
-Irrational
-Rational
-Rational
Just took the test
