It is the 2nd one if im not right then idk
Answer:
8x⁴ - 7x³ + 12x
Step-by-step explanation:
=(4x⁴ + 7x + 5x³) + (8x⁴ + 6x³ - 3x)- (4x⁴ + 4x³ - 8x)
=4x⁴ + 7x + 5x³ + 8x⁴ + 6x³ - 3x - 4x⁴ - 4x³ + 8x
=4x⁴ + 8x⁴ - 4x⁴+ <em>5x³ + 6x³ - 4x³</em> + <u>7x - 3x + 8x</u>
=8x⁴ + 7x³ + 12x
Answer:
<u>The simplest radical form of this mathematical expression is - 3√3</u>
Step-by-step explanation:
1. Let's write in a mathematical expression the information given:
-4 the square root of 12 + the square root of 75
-4 (√12) + √75
-4 (√4 * 3) + (√25 * 3) (12 = 4 * 3 and 75 = 25 * 3)
-4 (2 √3) + 5 √3
-8 √3 + 5√3
- 3 √3
The result is- 3 square root of 3.
<u>The simplest radical form of this mathematical expression is - 3√3</u>
Answer:
6.7
Step-by-step explanation:
To solve this problem, we need to calculate the distance between two points in the XY coordinate plane.
The formula to calculate this distance is:
d = sqrt(dx^2 + dy^2)
where dx is the difference between the X coordinate of the points, dy is the difference between the Y coordinate of the points, and d is the distance.
(sqrt is the square root of what is in the parenthesis)
The first point (April's king) has X=4 and Y=2, the second point (the opponent's king) has X=7 and Y=8.
So, we have that dx = 4-7 = -3 and dy = 2-8 = -6
Now, we calculate the distance:
d = sqrt[ (-3)^2 + (-6)^2 ] = sqrt(9+36) = sqrt(45) = 6.7082 = 6.7