Area = 20 meters square
perimeter = 24 meters
l*w=20
2l+2w=24 divide both sides by 2 and will get
l+w=12 => l = 12-w substitute inside the first equation of area
(12-w)*w = 20
12w -w^2 =20
w^2 -12w +20 = 0
D = 144 -4*20 = 144-80 = 64
w_1,2 = (12 +/- 8)/2 = 20/2 = 10 and 4/2 = 2
l = 12 -w
l_1 = 12 - 10 = 2
l_2 = 12 - 2 = 10
so from these result that the length of the rectangle equal 10 and the width of the rectangle equal 2
hope helped
158=z
z=t
180-t=x
180-158=22
Nothing here makes sense.
-- The question talks about "Figure ABCS", but the picture is ABCD .
Where is 'S' ?
OK. Let's assume that it's really talking about Figure ABCD. Then
the whole problem is loaded with nonsense and red herrings.
-- When a figure is rotated, translated, or both rotated AND translated,
why should the length of any of its sides change ? You can just as well
forget all about the rotation, and just check out the length of the sides
as they sit in the drawing.
-- The third choice is there just to see who has a clue and who has none.
What in the world is "DD" ? It may apply to an article of women's clothing,
but it certainly has no relevance to this drawing. The distance from 'D' to
'D' is zero.
-- The side BC is 1 unit wide and 3 units high.
Its length is √(1+ 9) = √√10 .
So the first choice is not true.
-- The side CD is 4 unit wide and 1 unit high.
Its length is √(16 + 1) = √17.
<u><em>The second choice is true.</em></u>
But wait ! Don't go away.
-- As we've said, "DD" is a zero distance.
So the third choice is nonsense.
-- Side AB is 4 units wide and 1 unit high.
Its length is √(16 + 1) = √17 .
<em><u>The fourth choice is also true.</u></em>
1.
the line of symmetry is x=2, means that the x coordinate of the vertex is x=2.
the point x=2 is the midpoint of the roots
and
.
so
Remark: in the x-axis, if c is the midpoint of a and b, then
2.
since
and
are roots
and
3.
equalizing:
in the left side factorize a, in the left side factorize 8:
in the right side use the difference of squares formula:
simplify by
substitute
with 4:
a=2
Answer: C)2