Answer:
C
Step-by-step explanation:
A is incorrect because -3.1 is rational.
B is incorrect because 1.14 repeating is rational.
C correct because everything that can be expressed as a fraction is on the left and everything that can't is on the right.
D is incorrect because pi is irrational.
Answer:
z=12
Step-by-step explanation:
divide by 1/2 to get the variable z by itself
Answer:
4(5x-8) (x+5)
Step-by-step explanation:
4(5x^2+17x-40)
4(5x-8) (x+5)
Step-by-step explanation:
The quadratic equation is x² + (p - 5)x + 2q = 0.
By Vieta's Formula,
we have SOR = -b/a and POR = c/a.
=> (-3) + (6) = -(p - 5) and (-3)(6) = 2q.
=> 3 = 5 - p and -18 = 2q
Hence, p = 2 and q = -9.
Alternate Method:
We have (x + 3) and (x - 6) as factors of the quadratic equation x² + (p - 5)x + 2q = 0.
=> (x + 3)(x - 6) = x² - 3x - 18.
By Comparing Coefficients,
(p - 5) = -3 and 2q = 18.
Hence p = 2 and q = -9.
Answer:
Ratio of triangle AMN to square ABCD = 1/8
Step-by-step explanation:
area AMN = Area ABN - Area MNB
Where AB = BC = x
Area AMN = [ ½ *( x * ½x )] - [ ½( ½x * ½x)] = x²/8
Area of ABCD = x* x = x²
So therefore:
The ratio of area of triangle AMN to area of square ABCD would be
= (x²/8) / x²
=1/8
