Answer:
Step-by-step explanation:
Given
Points: (1, 9) and (9, 3)
Ratio = 2/3
Required
Determine the coordinate of the center
Represent the ratio as ratio
The new coordinate can be calculated using
Where
Substitute these values in the equation above
Hence;
<em>The coordinates of the new center is </em><em></em>
You have to complete the square to get it into vertex form. Do this by setting the function equal to zero and at the same time moving the constant over to the other side of the equals sign so you have this:
. Now we can complete the square on the polynomial by taking half the linear term, squaring it, and adding it to both sides. Our linear term is 4. Half of 4 is 2, and 2 squared is 4, so we add 4 to both sides:
and simplify to get
. In this process we have created a perfect square binomial on the left, which happens to be
. Now move the -6 back over by addition to get
. The vertex is found at (-2, 6), the third choice down.
<h2>Correct question;</h2>
<h2>
</h2><h2>Required solution;</h2>
<h3>↠ Multiply the terms with the same base by adding their exponents</h3>
<h2>
</h2><h3>↠ Add the numbers</h3>
<h2>
</h2>
After expanding the answer will be 81
Hope it helps...
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1. BC is 1+3=4 (units)
2. AD is 3+5= 8 (units)
3. Draw the altitude CH from point C, as shown in the figure.
4. Then triangle CHD is a right triangle, with hypothenuse CD, and sides HD and CH.
5.
6. AB=CD=4.47 because the trapezoid is isosceles.
7. P= BC+AD+AB+CD=4+8+4.47+4.47=20.9 (units)
The first question, it is decreasing because the slope is negative.
