Solve for the unknown check your solution by substituting it in the original equation. -X+11=-2X-7
1 answer:
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Answer:
Step-by-step explanation:
a) x = 1.786 & -1.120
Explanation:
Turning points are points where the derivative equals zero. Solving the derivative for the values of X will give the answer to part a.
The derivative of this equation .
Solving the equation using the quadratic formula we get 1.786 & -1.120
b) x = -3, x=0 and x=2
Explanation:
The solution to this equation are the points where the graph intersects with the x axis. Looking at the graph we can see that these points are -3 , 0 and 2
Answer:
M = 4.33885225095
Step-by-step explanation:
Area of the square ABFE = 10² = 100
M = 100 - (2P + Q)
Let’s calculate 2P + Q :
The area 2P + Q = area ΔABC + area of sector ACE + area of sector BCF
Note :
ΔABC is an equilateral triangle
m∠CBF = m∠CAE = 30°
area ΔABC = (CG × AB)÷2 = (8.660254037844×10)÷2 = 43.30127018922
CG = √(10^2 - 5^2)=8.660254037844 (Pythagorean theorem)
area of sector BCF = area ΔACE = 100π ÷ 12 = (8.333333333333)π
then
Area 2P + Q = area ΔABC + area sector ACE + area sector BCF
= 43.30127018922+(100÷12)π+(100÷12)π
= 43.30127018922+ (8.333333333333)π + (8.333333333333)π
= 95.66114774905
Conclusion:
M = 100 - (2P + Q) = 100-95.66114774905 = 4.33885225095
