I used an app to send a picture because I couldn’t write it how it looks
Answer:
12<x<16
Step-by-step explanation:
if c^2 > a^2 + b^2
then the triangle is obtuse
since 20 is the longest side
20^2 > x^2 + (x+4)^2
simplify
400 > x^2 + (x+4)(x+4)
FOIL
400 > (x^2 ) + (x^2 + 4x+4x+16)
combine like terms
400 > (2x^2 + 8x+16)
divide by 2
400/2 > 2x^2 /2 + 8x/2 + 16/2
200 > x^2 + 4x +8
subtract 200 from each side
0> x^2 + 4x +8-200
0> x^2 +4x-192
Factor
0 > (x-12) ( x+16)
using the zero product property
0> x-12 0 > x+16
12>x -16>x
x must be greater than 12
we know the longest side is 20
x+4 < 20
subtract 4
x< 16
x>12 and x < 16
12<x<16
Answer:
22
Step-by-step explanation:
Arrange the data points from smallest to largest.
If the number of data points is odd, the median is the middle data point in the list.
If the number of data points is even, the median is the average of the two middle data points in the list.
The square root of 9 is 3
Answer:
D=12/2
Step-by-step explanation:
Let's simplify step-by-step.
2−v18−
2
/12
+2v18
=2+−v18+
−1
/6
+2v18
(−v18+2v18)+(2+
−1
/6
)
v18+
11
/6
D=Correcto
2-V^{18}-2/12+2V^{18}=12/2
v=1.082512