Answer:
61°
Step-by-step explanation:
Alright so the total amount of degrees in a 5-sided shape or pentagon is 540°. Since we have four of the five total angles, we can solve for the last one.
Sum of all the degrees of all five angles = 540°
The variable x is representing our last unknown degree.
90° + 107° + 144° + 138° + x° = 540°
Add up all the known degrees and solve for x.
479° + x° = 540°
Subtract 479 on both sides so that we can isolate x.
479° + x° - 479° = 540° - 479°
x° = 61°
So our final answer is 61°
Answer:
x^2 - 5x - 66
Step-by-step explanation:
1. Distrubute the x to the x and -11 so you will get x^2 - 11x
2. Distrubute the 6 to x and -11 and you get 6x - 66
3. Combine like terms (x^2 - 11x + 6x - 66) you will get x^2 - 5x - 66
Solve 5y - x = 1 for y such that y = mx + b so we can extract the slope.
y = 1/5x + 1/5
Perpendicular lines have opposite signed reciprocal slopes.
1/5 would have an opposite signed (-) reciprocal (5) slope of -5
Now let's find b by substituting the values of y, m, and x into y = mx + b:
-1 = -5(2) + b
-1 = -10 + b
9 = b
So the equation is y = -5x + 9 or 5x + y = 9
Answer:
Equation of tangent:
At point (1,0):
y = 2.713
Step-by-step explanation:
The equation of tangent line to the function can be calculated by taking the first derivative.
We have,
![y = xe^{x}-e^{x}\\\frac{dy}{dx}=\frac{d}{dx}[ xe^{x} ]-\frac{d}{dx} [e^{x}]\\](https://tex.z-dn.net/?f=y%20%3D%20xe%5E%7Bx%7D-e%5E%7Bx%7D%5C%5C%5Cfrac%7Bdy%7D%7Bdx%7D%3D%5Cfrac%7Bd%7D%7Bdx%7D%5B%20xe%5E%7Bx%7D%20%5D-%5Cfrac%7Bd%7D%7Bdx%7D%20%5Be%5E%7Bx%7D%5D%5C%5C)
Applying Product Rule:
d/dx [u.v] = (d/dx u) . (v) + (u) . (d/dx v)
Therefore,
The above equation is the equation of tangent line.
The point given is (1,0):
So,
Answer:
8x+6=-8
x=-1,75
Step-by-step explanation:
8x+6=-8
8x=-8-6
8x÷8=-14÷8
x=1,75
