The 5th term in a geometric sequence is 120. The 7th term is 30. What are the possible values of the 6th term of the sequence.
1 answer:
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Answer:
a) The minimum y-value of f(x) is -3
d) The minimum y-value of g(x) is -3
Step-by-step explanation:
Given in the question that,
f(x) = 3-3
g(x) = 7x² - 3
<h3>A)</h3>At large negative exponents, the value approaches to zero
y =
y =
y =
Minimum y-value of g(x) will be when x = 0
y = 7x² - 3
y = 7(0) - 3
y = -3
Answer:
Area of Quadrilateral = 289.57 sq.cm
Step-by-step explanation:
First of all, let us understand what is a Quadrilateral?
A quadrilateral is a polygon with four sides. A quadrilateral is a closed two-dimensional figure formed by joining the four points among which three points are non-collinear points.
Given,
Length of sides :
AB = 7.5 cm
BC = 11.7 cm
CD = 15.6 cm
AD = 18 cm
and given , the Angle between BCD is 90 degrees and the angle between BAD is 90 degrees.
It implies that the TRAINGLES BCD and BAD are Right angled triangles
So, the length of BD can be found using Pythagorean theorem
Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.
From the Triangle of BCD,
a= BC
b=CD and
c= BD
Therefore, The length of BD =
c=
c =
c = 19.5 cm
Hence, c= BD=19.5 cm
Now, Area of Quadrilateral =
1/2*(diagonal)*(sum of height of two triangles)
Here, Diagonal = Length of BD = 19.5 cm
Height (h1) = BC = 11.7 cm
Height ( h2) = AD = 18 cm
Therefore, Area = 1/2*19.5*(11.7+18)
= 289.57 sq.cm
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