First observe that if 
,
Let 
and 
. It follows that
Now let 
, so 
. Solving for 
,
which means
Now solve for 
.
(note that we assume 
)
(we omit 
since 
is not true)
Answer:
lateral area ≈ 668 m²
surface area ≈ 740 m²
Step-by-step explanation:
The lateral area of a triangular prism = perimeter of the base × height of the prism
lateral area = ph
where
p = perimeter of the base
h = height or altitude
Base edges are 8m , 9m and 12.04m and height is 23 m.
lateral area = ph
lateral area = (8 + 9 + 12.04) × 23
lateral area = 29.04 × 23
lateral area = 667.92 m²
lateral area ≈ 668 m²
Surface area
surface area = lateral area + 2B
where
B = area of it triangular bases
surface area = lateral area + 2B
surface area = 667.92 + 2(1/2 × base × height)
surface area = 667.92 + 2(1/2 × 8 × 9)
surface area = 667.92 + 2(1/2 × 72)
surface area = 667.92 + 2(36)
surface area = 667.92 + 72
surface area = 739.92
surface area ≈ 740 m²
Answer:
Step-by-step explanation:
4
Answer:
y=-2x+11
Step-by-step explanation:
equation of a line
y-b=m(x-a)
m=-2
a=3
b=5
sub into the equation
y-5= -2(x-3) multiply out the brackets and a negative multiply by negative equals positive
y-5=-2x+6
y=-2x+11
or
2x+y-11=0
Answer:
If you input a value of x then we get the output f(x) = y, which is the function of x. This is a function of x. Hence, x² = y is a function of x.
Step-by-step explanation:
