For x²+bx+c, to complete the square, you add (half of b)²
b=8 in this case, so you add 4², which is 16
x²+8x+16-16-4
y=(x+4)²-20 is the final form.
Answer:
x = 52
Step-by-step explanation:
I have included a chart to identify which angles are congruent (only alternate exterior/interior and corresponding). Basically if they are not alternate exterior/interior or corresponding, then they add up to = 180 degrees.
So since these angles are same side interior, they add up to = 180 degrees. We can write this as: A + B = 180
A + B = 180
2x + 76 = 180
2x = 104
x = 52
I hope this helps!
You could use a translation to move one to the same position as the other and compare if they have the same orientation (like both are pointing up).
If not, you could use rotation to do so, then use translation. Sometimes even reflections might work, but that's a bit more complex.
The easiest literal equations to understand are formulas where one variable is expressed in terms of the others. To solve for a given variable, isolate that variable on one side of the equation so that it's solved in terms of the other variables. Make sure to use the same operations on both sides of the equation!
Answer:
45 cm²
Step-by-step explanation:
Area of polygon = Area of square + (area of triangle)
= (side * side) + (1 / 2 * bh)
= 5*5 + (1 / 2 * 5 * 8)
= 25 + (20)
= 25 + 20
= 45 cm²
