Answer:
( 2 + √3 ) / 2, ( 2 - √3 ) / 2
Step-by-step explanation:
2x^2 - 2x = 1
2x^2 - 2x - 1 = 0
Here,
a = 2
b = - 2
c = - 1
D = b^2 - 4ac
D = ( - 2 )^2 - 4 ( 2 ) ( - 1 )
= 4 + 8
D = 12
x = - b ± √D / 2a
= - ( - 2 ) ± √12 / 2 ( 2 )
= 4 ± 2√3 / 4
= 2 ( 2 ± √3 ) / 4
= 2 ± √3 / 2
x = ( 2 + √3 ) / 2, ( 2 - √3 ) / 2
Using proportions, it is found that the value of a is of 3.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, a 180º angle has a measure of
radians. What is the measure of a 540º angle? The <em>rule of three</em> is given by:
180º -
rad.
540º - x
rad.
Applying cross multiplication:
180x = 540.
x = 540/180 = 3.
The value of a is of 3.
More can be learned about proportions at brainly.com/question/24372153
Answer:
If we are working in a coordinate plane where the endpoints has the coordinates (x1,y1) and (x2,y2) then the midpoint coordinates is found by using the following formula:
midpoint=(x1+x22,y1+y22)
Step-by-step explanation:
Answer:
x = 10
Step-by-step explanation:
DE is the midsegment joining the midpoints of BC and AC respectively.
Therefore, by the property of midsegment of a triangle,
DE will be parallel and half of the measure of the third side of the triangle.
DE = 
5 = 
x = 10 units