Answer:
There could be 0, 2, or 4 complex solutions
Step-by-step explanation:
The Fundamental Theorem of Algebra states that any polynomial with n degree will have n solutions So since the degree of the polynomial you provided has a degree of 4, that means there are 4 possible solutions. This question specifically asks for complex zeroes. Complex zeroes come in conjugate pairs, so that means if you have one complex zero, there is another complex zero which is it's conjugate. For this reason, there can only be an even number of complex zeroes. And since there's 4 possible solutions, There could be 0, 2, or 4 complex solutions
Answer:
1) (-50) <(-25) < (-10) < 10 < 25
2) 150 in^2
Step-by-step explanation:
For the first question we list the numbers according to their sign(start from negative)
For the second question we multiply height with width to find the area of the rectangle.
Answer:
The radius is 6.1 cm
Step-by-step explanation:
The volume of a sphere is
V = 4/3 pi r^3
There is a typo in the problem.
We know the volume
950 = 4/3 (3.14) r^3
Multiply each side by 3/4
3/4 *950 = 3.14 r^3
712.5 = 3.14 r^3
Divide each side by 3.14
712.5/3.14 = r^3
226.910828 = r^3
Take the cube root of each side
226.910828 ^ (1/3) = r^3 ^ 1/3
6.099371323 = r
The radius is 6.1 cm
Answer:
Step-by-step explanation:
<h3>
"Sara plotted the locations of the trees in a park on a coordinate grid. She plotted an oak tree, which was in the middle of the park, at the origin. She plotted a maple tree, which was 10 yards away from the oak tree, at the point (10,0) . Then she plotted a pine tree at the point (-2.4, 5) and an apple tree at the point (7.8, 5) What is the distance, in yards, between the pine tree and the apple tree in the</h3><h3>
park?"</h3>
For this exercise you need to use the following formula, which can be used for calculate the distance between two points:
In this case, you need to find distance, in yards, between the pine tree and the apple tree in the park.
You know that pine tree is located at the point (-2.4, 5) and the apple tree is located at the point (7.8, 5).
So, you can say that:
Knowing these values, you can substitute them into the formula and then evaluate, in order to find the distance, in yards, between the pine tree and the apple tree in the park.
This is: