X is greater than or equal to 0
y is greater than or equal to 0
Answer:
f(-5)=2, f(-2)=4
Step-by-step explanation:
-5<-4, so you use the first function in the piece wise function. You plug in -5 for x in 2^x+6, which gives you 2^1=2
-4<-2=2, so you use the second equation in the piecewise function. You plug in -2 for x, which gives you 2(-2+3)^2 +2, or 2(1)^2 +2 = 2 + 2 = 4
3)
Now, use Pythagoras theorem to find x
Similarly,
4)
Now, use Pythagoras theorem to find b
You can solve all of them in a similar way.
: )
a) Here, sum of two non-adjacent angles: 52 + 25 = 77
Now, ∠3 = 180 - 77 [ sum of all angles in a triangle is 180 ]
so, ∠3 = 103
Now, ∠3 + ∠4 = 180 [ Supplementary angles ]
So, ∠4 = 180 - ∠3
∠4 = 180 - 103 = 77
∠4 = 77 [ which is sum of two non-adjacent angles ]
....Hence proved.
b) m∠4 = 77
[ Solved in previous section ]
Hope this helps!
