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>
9514 1404 393
Answer:
Part A: 2 f2
Part B: draw a diagonal (AC, for example); 1 f12
Step-by-step explanation:
Part A:
The area of a parallelogram is given by the
formula
A=bh
where "b' is the length of the base, and 'h' is the
perpendicular distance between the bases.
Using the numbers shown on the diagram, the
area is
A = (3 ft)(2/3 ft) = 3-2/3 f12
A =2 ft2..... area of the parallelogram
Part B:
Typically, a polygon is partitioned into triangles
by drawing diagonals from one of the vertices. It
does not matter which one. (In a quadrilateral,
only one diagonal can be drawn from any given
vertex.) Here, the "base" of each triangle is the
same as the base of the parallelogram: 3 feet.
The "height" of each triangle is the same as the
height of the parallelogram: 2/3 ft.
The area of a triangle is given by the formula
Answer:
- The order tells us what sides are congruent.
- The order tells us what angles are congruent
It is important that we write the vertices of a triangle in a congruent statement, because it will tell us if the sides and angles are congruent.
Hope this helps you!
Answer:
Mikhail is 50 years old.
Step-by-step explanation:
Let m represent how old Mikhail is.
110 = (m + 10) + m
Combine equal variables.
110 = 2m + 10
Get the variable alone by cancelling out the 10.
110 - 10 = 2m
Simplify.
100 = 2m
Divide.
m = 50
Answer is B.
it's parallelogram and opposite sides are congruent.
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