Answer:
45
Step-by-step explanation:
The sum of interior angles in a triangle is equal to 180
2x - 12 + 2x + 17 + 9x - 7 = 180 add like terms
13x - 2 = 180 add 2 to both sides
13x = 182 divide both side by 13
x = 14
m<X = 2x + 17 replace x with 14
2*14 + 17 = 45
Answer:
There is no point of the form (-1, y) on the curve where the tangent is horizontal
Step-by-step explanation:
Notice that when x = - 1. then dy/dx becomes:
dy/dx= (y+2) / (2y+1)
therefore, to request that the tangent is horizontal we ask for the y values that make dy/dx equal to ZERO:
0 = ( y + 2) / (2 y + 1)
And we obtain y = -2 as the answer.
But if we try the point (-1, -2) in the original equation, we find that it DOESN'T belong to the curve because it doesn't satisfy the equation as shown below:
(-1)^2 + (-2)^2 - (-1)*(-2) - 5 = 1 + 4 + 2 - 5 = 2 (instead of zero)
Then, we conclude that there is no horizontal tangent to the curve for x = -1.
Answer:
45a + 32c
Step-by-step explanation:
a tickets at $45 per ticket cost 45a
c tickets at $32 per ticket cost 32c
The total cost is
45a + 32c
Answer:
The horizontal shift is to the left by 2 units and the vertical shift is down 3 units for this function.
I hope I was able to help!
Step-by-step explanation:
7/10 you just get the decimal form of the numbers and find a simple decimal between them, which was 7, and put it over 10 so you get 7/10