Answer:
"Starting today, I need to forget what's gone. Appreciate what still remains and look forward to what's coming next."
"Pain makes you stronger, fear makes you braver, heartbreak makes you wiser."
"I will not allow myself to not feel chosen every single day. And I’ll wait till whenever that is." — Hannah Brown
"Sometimes good things fall apart so better things can come together."
"Live for what today has to offer, not for what yesterday has taken away."
"Accept what is, let go of what was, and have faith in what will be."
"Don't be afraid to start over. It’s a brand new opportunity to rebuild what you truly want."
"Inhale the future, exhale the past."
"Don’t cry because it’s over, smile because it happened."
Answer:
Area of composite figure = 216 cm²
Hence, option A is correct.
Step-by-step explanation:
The composite figure consists of two figures.
1) Rectangle
2) Right-angled Triangle
We need to determine the area of the composite figure, so we need to find the area of an individual figure.
Determining the area of the rectangle:
Given
Length l = 14 cm
Width w = 12 cm
Using the formula to determine the area of the rectangle:
A = wl
substituting l = 14 and w = 12
A = (12)(14)
A = 168 cm²
Determining the area of the right-triangle:
Given
Base b = 8 cm
Height h = 12 cm
Using the formula to determine the area of the right-triangle:
A = 1/2 × b × h
A = 1/2 × 8 × 12
A = 4 × 12
A = 48 cm²
Thus, the area of the figure is:
Area of composite figure = Rectangle Area + Right-triangle Area
= 168 cm² + 48 cm²
= 216 cm²
Therefore,
Area of composite figure = 216 cm²
Hence, option A is correct.
In general the binomial expansion is
So in our case, because we want ascending powers of x we'll write,
We need to calculate the binomial coefficients:
