Answer: D. 7854.0 cm^2
Step-by-step explanation:
f(x) = 3(x – 5)(x – 4)(x + 2)(x + 9)
f(x) = (x + 5)(x + 5)(x + 5)(x + 4)(x – 2)(x – 9)
f(x) = (x – 5)(x – 5)(x – 5)(x – 4)(x + 2)(x + 9)
The expression for f(x) is:
f(x) = (x+5)(x+5)(x+5)(x+4)(x-2)(x-9)
We know that for any polynomial equation with roots:
with multiplicity:
the equation for the polynomial is given by:
if the leading coefficient is negative we may take '-' sign in the starting of the expression.
Here we are given that :
f(x) has a leading coefficient of 1, roots –4, 2, and 9 with multiplicity 1, and root –5 with multiplicity 3
Hence, f(x) is given by:
Hence, the expression for f(x) is:
B) One figure must be a circle.
C) The figure on the inside circumscribes the figure on the outside.
D) Circumscribing can be done as a construction.
E) The figures intersect.
Answer:
A and D are correct options.
Step-by-step explanation:
Circumscribing some figure means to draw one figure around another in such a way that all the sides should touch the outside figure. Like if we circumscribe a circle around a triangle, all the vertices must touch the circle.
Based on the definition, the following statements are correct answer.
A) One figure is drawn around the other.
D) Circumscribing can be done as a construction.
Many figures can be circumscribed like - a right triangle around a square, a circle around a triangle or a square etc.
Bob gives 3/4 of the beads to his friend
2/3 of the beads bob now had are red
Work out how many green beads bob now has
Now from 120 beads, Bob has 10 green beads.
Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
Total number of beads = 120,
Since, Bob gives 3/4 of the beads, So the remaining beads,
= 120×1/4
=30
Now from these 30 beads, 2/3 beads are red,
So red beads are = 30×2/3 = 20
Therefore, green beads are = 30-20= 10
Bob has 10 green beads.
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