Answer:
x = 8
Step-by-step explanation:
Since the sum of all angles of a parallelogram is equal to 360 degrees, <Z + <Y is half of the parallelogram, and therefore <Z + <Y = 180 degrees.
16x-4 + 7x = 180, combine like terms
23x - 4 = 180, add 4 on both sides (isolate variable)
23x = 184, divide 23 on both sides
x = 8
Full question:
Heng was trying to factor 10x²+5x. She found that the greatest common factor of these terms was 5x and made an area model: What is the width of Heng's area model?
Answer:
The width of the area model is 2x + 1
Step-by-step explanation:
Given
Expression: 10x² + 5x
Factor: 5x
Required
Width of the Area Model
To solve this, I'll assume the area model is Length * Width
Provided that we're to solve for the width of the model.
This implies that; Length = 5x
Area = Length * Width
And
Area = 10x² + 5x
Equate these two
Length * Width = 10x² + 5x
Factorize express on the right hand side
Length * Width = 5x(2x + 1)
Substitute 5x for Length
5x * Width = 5x(2x + 1)
Divide both sides by 5x
Width = 2x + 1
Hence, the width of the area model is 2x + 1
Use combination
There are 4 queen cards in a deck of 52 cards
Probability = 4C2 / 52C2
I calculate 4C2 first
4C2 = 4! / (2! 2!)
4C2 = (4 × 3 × 2 × 1) / (2 × 1 × 2 × 1)
4C2 = 6
Then I calculate 52C2
52C2 = 52! / (50! 2!)
52C2 = (52 × 51)/2
52C2 = 1.326
Hence, the probability is
Probability = 4C2 / 52C2
Probability = 6/1,326
Probability = 1/221
That is a parabola.
All domain of a parabola are, (-∞,∞).
The range would be, (-∞, 0]
5 x 108. The purpose of scientific notation is for scientists to write very large, or very small, numbers with ease.
