Answer:
Even
Step-by-step explanation:
Well if you have an odd number like 3, 5, 7, 9, and etc multiplied by an even number like 2, 4, 6, 8, and etc you will always get an even number
2 x 3 = 6 which is even 3+3
5 x 4 = 20 which is even 10+10
7 x 6 = 42 which is even 21+21
Answer:
Part 1) 
Part 2) The measure of the interior angles are 64°-67°-49°
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
Find the value of x
we know that
The sum of the interior angles in any triangle must be equal to 180 degrees
so
In this problem
Solve for x
Combine like terms
Subtract 18 both sides
Divide by 6 both sides
step 2
Find the measure of each interior angle
substitute the value of x in each measure
p = r - c |add c to both sides
p + c = r - c + c
r = p + c
first simplify the equation and then divide by 3/3 it will give you the correct answer.
hope it helps...
Answer:
C) One vertical but no horizontal
Step-by-step explanation:
Use implicit differentiation to find dy/dx.
xy² = 2 + xy
x (2y dy/dx) + y² = x dy/dx + y
(2xy − x) dy/dx = y − y²
dy/dx = (y − y²) / (2xy − x)
When the tangent lines are horizontal, dy/dx = 0.
0 = (y − y²) / (2xy − x)
0 = y − y²
0 = y (1 − y)
y = 0 or 1
When the tangent lines are vertical, dy/dx is undefined, so the denominator is 0.
0 = 2xy − x
0 = x (2y − 1)
x = 0, y = 1/2
There are two possible points where there can be a horizontal tangent line, and two possible points where there can be a vertical tangent line. Plug all back into the original equation to see which are actual points.
If y = 0:
x(0)² = 2 + x(0)
0 = 2
No solution.
If y = 1:
x(1)² = 2 + x(1)
x = 2 + x
0 = 2
No solution.
If x = 0:
(0)y² = 2 + (0)y
0 = 2
No solution.
If y = 1/2:
x(1/2)² = 2 + x(1/2)
x/4 = 2 + x/2
-x/4 = 2
x = -8
Therefore, there is one vertical line and no horizontal lines.
