Answer:
Therefore the value of EC is 13 unit.
Step-by-step explanation:
Given:
ABCD is a Rectangle
EC = 6x + 1
AE = x +11
To Find:
EC = ?
Solution:
ABCD is a Rectangle .........Given
Diagonal of Rectangle Bisect each other. .......Property of Rectangle
Substituting the values we get'
Substituting 'x' in EC we get
Therefore the value of EC is 13 unit.
Answer:
A) (3, 12)
Step-by-step explanation:
For such a problem, I like to use a graphing calculator. It shows the answer quickly without a lot of fuss.
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If you want to solve this analytically, set the difference in y-values equal to zero and solve the resulting quadratic in the usual way. This will give the x-value at which the y-values are equal. (After we find x, we still need to find y.)
... y - y = 0
... x² -2x +9 -4x = 0
... x² -6x +9 = 0 . . . . . . collect terms. Recognize this as a perfect square.
... (x -3)² = 0
... x = 3 is the solution to this
... y = 4x = 4·3 = 12
The point on each of the given curves is (x, y) = (3, 12). The line is tangent to the parabola there, so there is only one point of intersection.
