Answer:
x^2 - 25 ✔
Step-by-step explanation:
(x+5)(x-5)
x(x-5) +5(x-5)
x^2 - 5x + 5x - 25
x^2 - 25
Answer:
x = 124°
Step-by-step explanation:
the sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
here n = 5 , then
sum = 180° × 3 = 540°
sum the given angles and equate to 540°
90° + 122° + 105° + 99° x = 540° , that is
416° + x = 540° ( subtract 416° from both sides )
x = 124°
Answer:
The x coordinate is 0.047m while y coordinate is 0.081 m
Step-by-step explanation:
The coordinates of the center of the mass of the system are given as follows
So from the data
m1=0.310, x1=0.20,y1=0.320
m2=0.410,x2=0.110,y2=-0.380
m3=0.210,x3=-0.300,y3=0.630
Now by substitution of the values in the above equation
So the x coordinate is 0.047m while y coordinate is 0.081 m
Completing the square is done as follows:
1. Write the equation in a way that the constants are in the right side while the terms with x are on the left.
<span>9x2 +54x = 7
</span>
2. Make sure that the coefficient of the x^2 term is 1.
<span>9(x2 + 6x) = 7
</span>
3. Adding a term to both sides that will complete the square in the left side. This is done by dividing the coefficient of the x term by 2 and squaring it. Note: The same amount should be added to the right side to balance the equation.
<span>9(x2 + 6x + 9) = 7 + 81
9(x+3)^2 = 88
</span>
