Answer: 11/23
Step-by-step explanation:
I used my calculator to convert those fractions into decimal form and found the biggest number. It was about 0.4789.
X
1. 2x^2 - 8 = 2(x^2 - 4) = 2(x+2)(x-2)
2. 2x^2 + 8x + 6 = 2(x^2 + 4x + 3) = 2(x+3)(x+1)
3. 3n^2 + 9n -30 = 3(n^2 + 3n - 10) = 3(n+5)(n-2)
XII
1. x^2 + 2x + xy + 2y = x(x+2) + y(x+2) = (x+2)(x+y)
2. 3a^2 - 2b - 6a + ab = 3a^2 - 6a + ab - 2b = 3a(a - 2) + b(a - 2) = (a-2)(3a+b)
3. t^3 - t^2 + t - 1 = t^2(t - 1) + (t - 1) = (t-1)(t^2+1)
4. 10 + 2t - 5s - st = 10 - 5s + 2t - st = 5(2 - s) + t(2-s) = (5+t)(2-s)
First we write equation that consist coordinates of center and radius. That formula goes like this:
(x-x1)^2 + (y-y1)^2 = r^2
x and y are coordinates on any point on circle
x1 and y1 are coordinates of center of circle.
r is radius of that circle. now we need to express our values for center and radius andf square binoms and see what matches in our options.
(x-3)^2 + (y-8)^2 = 5^2
x^2 + y^2 -6x -16y +48 = 0
The answer is first option.
Answer:
m=3
Step-by-step explanation:
(y2-y1)/(x2-x1)=m
9/3
3
HTH :)
The answer is -60=60
Simplifying
s2 + -17s + -60 = (s + -5)(s + -12)
Reorder the terms:
-60 + -17s + s2 = (s + -5)(s + -12)
Reorder the terms:
-60 + -17s + s2 = (-5 + s)(s + -12)
Reorder the terms:
-60 + -17s + s2 = (-5 + s)(-12 + s)
Multiply (-5 + s) * (-12 + s)
-60 + -17s + s2 = (-5(-12 + s) + s(-12 + s))
-60 + -17s + s2 = ((-12 * -5 + s * -5) + s(-12 + s))
-60 + -17s + s2 = ((60 + -5s) + s(-12 + s))
-60 + -17s + s2 = (60 + -5s + (-12 * s + s * s))
-60 + -17s + s2 = (60 + -5s + (-12s + s2))
Combine like terms: -5s + -12s = -17s
-60 + -17s + s2 = (60 + -17s + s2)
Add '17s' to each side of the equation.
-60 + -17s + 17s + s2 = 60 + -17s + 17s + s2
Combine like terms: -17s + 17s = 0
-60 + 0 + s2 = 60 + -17s + 17s + s2
-60 + s2 = 60 + -17s + 17s + s2
Combine like terms: -17s + 17s = 0
-60 + s2 = 60 + 0 + s2
-60 + s2 = 60 + s2
Add '-1s2' to each side of the equation.
-60 + s2 + -1s2 = 60 + s2 + -1s2
Combine like terms: s2 + -1s2 = 0
-60 + 0 = 60 + s2 + -1s2
-60 = 60 + s2 + -1s2
Combine like terms: s2 + -1s2 = 0
-60 = 60 + 0
-60 = 60
Solving
-60 = 60
