Answer:
19 red beads
Step-by-step explanation:
We first need to find a common denominator of 4/9, 1/5 and 1/4.
The common denominator is 180. Like in an expression, what we do to one side we have to do to the other.
Silver - 180/9 = 20 ; 20*4 = 80 so there are roughly 80 sliver beads.
Gold - 180/5 = 36 ; 36*1 = 36 so there are roughly 36 gold beads.
Blue - 180/4 = 45 ; 45*1 = 45 so there are roughly 56 blue beads.
180 - (silver+gold+blue) = red beads
180-161 = 19 red beads b/c ----->
80+36+45+19 = 180
We are given original equation:
We need to find the enter and radius of a circle using the completing the square method.
The steps are as following :
Step 1 [original equation]: x^2 − 10x + y^2 + 12y = 20 .
Step 2 [group like terms]: (x^2 − 10x) + (y^2 + 12y) = 20
Step 3 [complete the quadratics]: (x^2 − 10x + 25) + (y^2 + 12y + 36) = 20 + (25 + 36).
Step 4 [simplify the equation]: (x^2 − 10x + 25) + (y^2 + 12y + 36) = 64.
Step 5 [factor each quadratic]: (x − 5)^2 + (y + 6)^2 = 8^2
Step 6 [identify the center and radius]: Center = (5, −6) Radius = 8.
<h3>Step 6 is incorrect.</h3><h3>The center should be (5,-6).</h3><h3> Replace − 5 with + 5 and replace + 6 with − 6.</h3>
Factor out the gcf first.
3(4y^2-9)
The binomial inside is a perfect square so keep factoring.
3(2y+3)(2y-3)
The pair of binomials cannot be further factored so stop there.
Answer:
a=-4
b=2
c=7
so therefore a*b*c=-4*2*7