Answer:
25
Step-by-step explanation:
The formula for the Pythagorean Theorem is:
Now,
A=7
B=24
7x7=49
24x24=576
Add,
576+49=625
Last,
Take the square root of 625
The square root of 625 is 25
c=25
To Check if the hypotenuse is correct:
7x7=49
24x24=576
25x25=625
49+576=625
625=625,
Therefore the hypotenuse is 25.
Answer: I think its 81 but i'm not that sure.
Step-by-step explanation:
X²+15x+36<0
at first solve quadratic equation
D=b²-4ac= 225-4*1*36= 81
x=(-b+/-√D)/2a
x=(-15+/-√81)/2= (-15+/-9)/2
x1=(-15-9)/2=-12
x2=(-15+9)/2=-3
we can write x²+15x+36<0 as (x+12)(x+3)<0
(x+12)(x+3)<0 can be 2 cases, because for product to be negative one factor should be negative , and second factor should be positive
1 case) x+12<0, and x+3>0,
x<-12, and x>-3
(-∞, -12) and(-3,∞) gives empty set
or second case) x+12>0 and x+3<0
x>-12 and x<-3
(-12,∞) and (-∞,-3) they are crossing , so (-12, -3) is a solution of this inequality
