If the length of OA is 1.80 units. Then the length of segment AB will be 0.80 units.
<h3>What is a Pythagoras theorem?</h3>
The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
Line AC is perpendicular to the circle centered at O with a radius of 1 unit. The length of AC is 1.5 units.
The figure is shown below.
Then the length of segment AB will be
AB = OA - OB
AB = OA - 1
Then the OA will be
OA² = OC² + AC²
OA² = 1² + 1.5²
OA² = 1 + 2.25
OA² = 3.25
OA = 1.80 units
Then we have
AB = 1.80 - 1
AB = 0.80 units
More about the Pythagoras theorem link is given below.
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Answer:
Step-by-step explanation:
To simplify the fraction find the GCF (greatest common factor). The GCF is the largest number that is a factor of both the numerator and denominator. Both 24 and 56 have a factor of 8, this is the GCF. Divide both numbers by 8 to get the final answer of 3/7.
-2 and -1
Explanation: Everything behind 0 is considered a negative
Right now, we are given the standard form of the line: ax + by = c
a = 6, b = -3, c = 12
If we use algebra to to change it into its point-slope form, we can easily identify the slope of the equation.
6x - 3y = 12
-3y = 12 - 6x
- 3y = -6x + 12
3y = 6x - 12
3y/3 = (6x - 12)/3
y = 2x - 4
Now the equation is in point-slope form: y = mx + b where m is the slope.
Since m=2, the slope of the line is 2.
A shortcut to find the slope of a line in standard form is m = -a/b
Using the same equation as above, 6x - 3y = 12 a = 6, b = -3
-6/(-3) = 2
Answer:
Step-by-step explanation:
Given
Required
Simplify completely
Expand
Factorize the numerator
Divide the numerator and denominator by 2
Remove brackets
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<em>The expression has been completely simplified</em>
