Answer: y-intercept: (0,-6)
Answer:
horizontal translation 1 unit right and vertical translation 2 unit up
Step-by-step explanation:
we are given


We can see that in place x , we have x-1
So, it is shifted horizontally right side by 1 unit
We have +2 added to f(x)-value
It means 2 is added to y-value
So, it is shifted vertically upward by 2 units
So, horizontal translation 1 unit right and vertical translation 2 unit up
Answer:
y ≈ 2.5
Step-by-step explanation:
Using the Sine rule in Δ XYZ
=
, substitute values
=
( cross- multiply )
y sin50° = 2 sin75° ( divide both sides by sin50° )
y =
≈ 2.5 ( to the nearest tenth )
Answer:
A ≈ 40.3 cm²
Step-by-step explanation:
The area of right Δ ACD is calculated as
A =
bh ( b is the base and h the perpendicular height )
Here A = 50.5, b = CD and h = AC , then
× 14 × AC = 50.5
7 AC = 50.5 ( divide both sides by 7 )
AC ≈ 7.214
The area of Δ ABC is calculated as
A =
× BC × AC × sin36°
= 0.5 × 19 × 7.214 × sin36°
≈ 40.3 cm² ( to 3 sf )