For this case we have the following quadratic equation:

Where:

By definition, the discriminant of a quadratic equation is given by:

We have to:
Two different real roots
Two different complex roots
Two equal real roots
Substituting the values we have:

So, we have two different complex roots
Answer:
Two different complex roots
Answer:
Q' (-3,4)
Step-by-step explanation:
A reflection across the x-axis would mean that only the x value of the point would change. This means that the y value would still be 4. To find the x value, just flip it to a negative. The negative of 3 is -3
Answer:
C
Step-by-step explanation:
SD is congruent to PD and both triangles share the same side with each other.
By comparing with a right triangle, we will see that the height of the tree is 62.12ft
<h3>
How tall is the tree?</h3>
We can compare the situation with a right triangle. Such that the hypotenuse measures 68 ft, and an angle measures 66°.
We want to get the height of the tree, which would be the opposite cathetus, then we can use the relation:
Sin(a) = (opposite cathetus)/hypotenuse.
Sin(66°) = H/68ft
Tan(66°)*68ft = H = 62.12ft
The height of the tree is 62.12ft
If you want to learn more about right triangles, you can read:
brainly.com/question/2217700
First we have to note which number represents which axis. As a general rule x axis represents first number. It describes if figure is moving left or right.
Second number is y axis and it describes if figure is moving up or down.
Now that we said that we can see that x axis increased by 2 while y axis decreased by 1. Description that matches is:
1 square down and 2 squares right.