Hi there!
We can use discriminants to determine the value of k for which the equation would have complex solutions. (Those involving i)
If b² - 4ac < 0, then the equation will have complex solutions. Therefore:
Plug in the given values of b and a to solve:
7² - 4(2)(k) < 0
Simplify:
49 - 8k < 0
Solve the inequality:
49 < 8k
6.125 < k
k > 6.125. Anything greater than 6.125 would result in complex solutions.
<span>To get to the simplest form you have to divide numerator and denominator by numbers they can both be divided by, until you get to a fraction where you can't divide both anymore getting an integer as a result.
Here you can only divide by 2 and you get 1/5. That's the simplest form</span>, if you kept dividing you'd get decimals, but the simplest form must be integers.
Length x width will give you area so...
72 x 46 = 3,312 yards is the area
The answer is A. When you put it into slope-intercept form it is the only equation that turns out parallel, and when you plug in the x value 5 you get the y value of 1, which means it passes through the point (5,1)
Answer:
Congruent triangles
Step-by-step explanation:
