If you have
2 KNOWN sides & 1 Angle ;
Use Cosine Rule
If you have 3 KNOWN sides,
Also Cosine Rule
If you have
2 KNOWN angles & 1 side,
Use SINE rule
If it's a right-angled triangle, use SOH CAH TOA
Hopefully this helps
Answer:
Horizontal stretch by a factor of ½.
Step-by-step explanation:
We were given the parent function as:
![y = \sqrt[3]{0.5x}](https://tex.z-dn.net/?f=y%20%3D%20%20%5Csqrt%5B3%5D%7B0.5x%7D%20)
This was transformed to:
![y = \sqrt[3]{x}](https://tex.z-dn.net/?f=y%20%3D%20%20%5Csqrt%5B3%5D%7Bx%7D%20)
Let
![g(x) = \sqrt[3]{0.5x}](https://tex.z-dn.net/?f=g%28x%29%20%3D%20%20%5Csqrt%5B3%5D%7B0.5x%7D%20)
and
![f(x) = \sqrt[3]{x}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%20%5Csqrt%5B3%5D%7Bx%7D%20)
Then:

Hence the parent function has been stretched horizontally by a factor of 1/2 to obtain the transformed function.
Answer:
y =
x + 4
Step-by-step explanation:
Assuming you require the equation of the line.
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (8, 8) and (x₂, y₂ ) = (10, 9)
m =
=
, then
y =
x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (8, 8) , then
8 = 4 + c ⇒ c = 8 - 4 = 4
y =
x + 4 ← equation of line
Answer:
40 m^3
Step-by-step explanation:
Volume of a pyramid = 1/3 * base area * height
base area = 4 x 4
1/3 * (4x4) * 7.5 = 40 m^3