Answer:
C. 56.25π
Step-by-step explanation:
Circumference=15π=πd⇒d=15
Area=πr^2⇒r=d/2⇒r=7.5⇒π7.5^2=56.25π
X - Rajus age
<u>2x + 3 - fathers age</u>
As of 7 being one side, subtract it with the whole...
When you subtract you get 10
Divide by 2 (or subtract 5)
So the two other sides of the triangle is 5m
Answer: 27/14
Step-by-step explanation:
(x+2)/x +(x-6)/3x = (2x+9)/5x
(3x+6)/3x + (x-6)/3x = (2x+9)/5x First term: [(x+2)/x]*(3/3) = (3x+6)/3x
(4x)/3x = (2x+9)/5x Combine (3x+6)/3x + (x-6)/3x [=(4x)/3x]
(4/3)*5x = 2x + 9 [(4x)/3x = 4/3] and multiply both sides by 5x
(20/3)x - 9 = 2x [(4/3)*5x] = (20/3)x; Subtract 9 from both sides
20x - 27 = 6x Multiply both sides by 3
14x = 27 Simplify
x = 27/14 And solve
Especially if we're to present the answers to 2 decimal places, we'd gues that the roots of this polynomial are not "nice."
My suggestion is that we use the quadratic formula to find the roots, and then write the associated factors.
In 3x^2 +x-5=0, a=3, b=1 and c= -5. Thus, the roots are
-1 plus or minus √(1^2 - 4(3)(-5) )
x = --------------------------------------------------
2(3)
or:
-1 plus or minus √61 -1 plus or minus 7.81
x = ----------------------------------- = ---------------------------------
6 6
Then one root is 6.81/6, or approx. 1.14, and the other is
-8.81/6, or approx. -1.47.
The solution set is then {-1.47, 1.14}.
