Answer:
HJ is diameter.
Step-by-step explanation:
Given Triangle HKJ is inscribed in the circle. we have to conclude about HJ if the triangle is a right triangle.
All the three sides are chord of the circle.
As given HKJ is right angled triangle i.e∠HKJ=90° and angle subtended by diameter in the semicircle is 90° implies HJ is diameter because if the HJ moves towards the angle then the given angle becomes acute and if moves away from the angle then the angle becomes obtuse which contradict the given information.
hence, the only possibility about the line HJ is that it is a diameter.
Answer:
1).
2).
Step-by-step explanation:
Here the given equation is 
We have to factor the perfect square trinomial on the left side of the equation
So left side of the equation is 
= 
since [(a+b)²= a²+b²+2ab]
Therefore the factorial form of the equation will be

Now we have to solve the equation by applying square root property


9514 1404 393
Answer:
3/(x +1) -4/(x +1)^2
Step-by-step explanation:
The partial fraction expansion will be of the form ...
A/(x+1)^2 +B/(x+1)
We can find the values of A and B by writing the sum of these terms:
= (A +B(x +1))/(x +1)^2
Then we require ...
B = 3
A +B = -1 ⇒ A = -4
So, the desired expansion is ...
3/(x +1) -4/(x +1)^2
Answer:
32
Step-by-step explanation:
In ΔLMK
short leg /long leg = 18/24
In ΔLMJ
short leg /long leg = 24/JK
Now we make them equal
(18/24) = (24/JK), cross multiply
18·JK = 24², divide both sides by 18
JK = 24²/18
JK = 32
Answer:
72
t
Solution:
8(9)
t
If he can run more than 9 laps today, but might not, then the total number of minutes can be more then or equal to nine laps.