Let a, ß be the roots of x² + 2ax + b =0.......[1]
⇒a + ß = -2a and aß = b
By hypothesis
la-ß | ≤ 2m
⇒ (a-ß)² ≤ 4m²
⇒ (a+ß)²-4aß < 4m²
⇒ 4a²-4b ≤ 4m²
⇒a² - b ≤ m²......(2)
And discriminant of (1) is >0
⇒4a²-4b> 0
⇒ b <a²...... (3)
From (2) and (3)
a² > b≥ (a² - m²)
b = [a² - m², a²)
If Sachiko lets x represent the length of the side of the square and she wants to find the length of the perimeter of the square, it is appropriate for her to ...
... B. Set the area equal to x², solve for x, and then multiply the value of x by 4.
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The area of a square of side length x is x·x = x². The perimeter of a square of side length x is x+x+x+x = 4·x.
Answer:
The value of x is 108°
Step-by-step explanation:
Given interior angles of parallelogram are:
<u>The sum of interior angles of a parallelogram is 360°.</u>
We will use this information to find the value of x.
So adding up all the angles and putting the sum equal to 360 we get,
Taking LCM on left side of the equation, as it involves fraction
Multiplying both sides by 3
Dividing both sides by 10
Hence,
The value of x is 108°
Answer:
Here is an example: if we have a rectangle that has a length 3 and a height of 4 and the scale drawing with a scale factor of 2, how many times bigger is the scale drawings area? The original shape is 3 by 4 so we multiply those to find the area of 12 square units.
Step-by-step explanation:
I think 5/21 is the answer when you multiply 5/12 and 12/21
