PART A:
The given quadratic equation is 2x²-10x-8=0
The radicand is given by b²-4ac where a, b, and c are the constants in a quadratic form ax²+bx+c
From the given equation, we have
a = 2
b = -10
c = -8
Radicand b²-4ac = (-10)² - 4(2)(-8) = 100 + 64 = 164
The radicand is >0 hence the quadratic equation has two distinct roots
PART B:
4x²-12x+5 = 0
We can use the factorization method to solve the equation
Firstly, we multiply 4 by 5 to get 20
Then we find the pair of numbers that multiply gives 20 and sum gives -12
The pair of number is -2 and -10
Rewriting the equation
4x²-2x-10x+5 = 0
2x(2x-1)-5(2x-1) = 0
(2x-1)(2x-5) = 0
2x-1 = 0 and 2x-5 = 0
x = 1/2 and x = 5/2
Answer:
x = 54, so the vertical angles are 110°.
Step-by-step explanation:
Answer: The slope is -8/3
Step-by-step explanation: Use the slope formula y2-y1/x2-x1
so -9-7/2-(-4) = -16/6 which can be divided by 2 to get -8/3
C.) -1.
Explanation: 4 + -5 = -1. When you have a negative number plus a positive you subtract. Then take the highest numbers positive or negative symbol. Hope that helps.
Answer:
9. Always
10. Never
11. Always
12. Sometimes
Step-by-step explanation:
- Natural numbers are any positive whole numbers (e.g. 1, 2, 3, 4….)
- Integers are any whole number, positive or negative (e.g. -2, -1, 0, 1, 2…)
- Rational numbers are any number that can be put into a fraction (or if it’s a decimal, a number that ends)
- Irrational numbers are any number that cannot be put into a fraction (like a never ending decimal; e.g. pi)
- Real numbers are any and all numbers (rational or irrationa)