Answer:
Step-by-step explanation:
y=x²-2x-1
and y=-3x+5
x²-2x-1=-3x+5
x²+x-6=0
x²+3x-2x-6=0
x(x+3)-2(x+3)=0
(x+3)(x-2)=0
x=-3,2
when x=-3
y=-3×-3+5=9+5=14
when x=2
y=-3×2+5=-6+5=-1
so solutions are (-3,14) and (2,-1)
Answer:
12√3
Step-by-step explanation:
sin 30 =1/2
sin30=a/24. sin=opposit side/Hypotenuse
a is the opposite side of 30
1/2=a/24
a=12
now take pythagoras theroem
24^2=z^2+12^2
576=z^2+144
z^2=576-144
z^2=432
z=√432
z=√144*3
z=12√3
Answer:
m=-11
Step-by-step explanation:
All you have to do is subtract 3 from both sides and you get -11!
I hope this helps and have a great day!
Answer:
17m³
Step-by-step explanation:
==>Given:
Prism with right triangular base with the following dimensions:
Height = 17m
Base area = area of the right triangle = ½×2×1 = 1m²
==>Required:
Volume of prism
==>Solution:
Volume of prism = Base area × height of prism
Volume of prism = 1m² × 17m
Volume = 17m³
