X+y=36
xy=256
x=256/y
256/y + y = 36
256/y + y²/y = 36y/y
y² - 36y +256 = 0
use the quadratic formula to get 18+2√17 and 18-2√17. ugly numbers but they work!
Exterior angle c = the sun of the two opposite interior angles a and b.
10x -23 = 5x -17 + 7x -26
Combine the right side:
10x -23 = 12x -43
Add 43 to both sides:
10x +20 = 12x
Subtract 10x from both sides:
20 = 2x
Divide both sides by 2
X = 10
Now you have x replace it in the equation for A:
A = 5x -27 = 5(10) -27 = 50-27 = 23
Angle A = 23 degrees.
Answer:
Step-by-step explanation:
As C and D are both at y = -9, the line below V₂ is vertical and located at
x = ½(22 + (-2) = 10
The line between V₁ and V₂ will contain the point halfway between B and D.
x = ½(14 + (-2)) = 6
y = ½(7 + (-9)) = -1
(6, -1)
The slope of the line between V₁ and V₂ is the same as between V₁ and our just found midpoint between B and D
m = (5 - (-1)) / (0 - 6) = -1
so the line equation is
y = -x + 5
Which intersects x = 10 at
y = -10 + 5 = -5
V₂ = (10, -5)
The distance between V₂ and B, C, and D is
d = √((14 - 10)² + (7 - (-5))²) = √160
The distance between V₁ and B, A, and D is
d = √((-10 - 0)² + (15 - 5)²) = √200
As √200 > √160, the dump should be located at V₁ or at least √200 away from any two of the points
Answer:
No , (x-5) is not a factor
Step-by-step explanation:
x⁴ - 3x³ – 9x² - 4x = (x³ + 2x² + x + 1) (x - 5) <u>+ 5</u>
Answer:
7.6^8
Step-by-step explanation: