Answer:
A, B, and C
Step-by-step explanation:
The discriminant is denoted by b^2 - 4ac, and it can give us information about the roots of the quadratic equation.
It tells us that if:
- b^2 - 4ac < 0 , then there are 0 real solutions; they're all imaginary (involving the letter i, which is the square root of -1)
- b^2 - 4ac = 0 , then there is 1 real solution; this 1 solution has a multiplicity of 2 because the roots of the quadratic are the same number
- b^2 - 4ac > 0 , then there are 2 real solutions; there are no imaginary solutions
Looking at the possible choices, we see that all of A (A, I'm assuming you meant to write "if the discriminant is zero there is one real solution"), B, and C reflect the above properties.
Thus, they're all right.
Use the left and right triangles. (the two smaller ones -- ACD and BCD)
By similar triangles ACD is similar to BCD
on the left AD/CD is one ratio
On the right CD/DB is the other. These two ratios are equal because they are corresponding parts.
AD / CD = CD / DB
AD = 3
DB = 12
CD = ??
Substitute.
3/CD = CD/12 Cross multiply
36 = CD^2
sqrt(36) = sqrt(CD^2)
CD = 6 <<<<==== Answer.
A <<<<====Answer.
To answer this item, we assume that the topic is in similar polygons such that the ratio of the corresponding sides should be equal. In this item,
BY/YC = AX/XC
Substituting the known values,
6/10 = 18/XC
The value of XC from the equation is 30. The answer is letter C.
You can find the approximate value of h in this the same way you could with an algebraic expression.
h - 3 < 5
+3
h < 8
Answer: (1,4)
Explanation: The domain looks at the x coordinates and (1,4) is the only x coordinate in the range given (due to the bracket)
