Amira is solving the equation x2 – 6x = 1. Which value must be added to both sides of the equation to make the left side a perfe
ct-square trinomial?
2 answers:
Answer:
We have to add 9 on both sides of the equation.
Step-by-step explanation:
The given equation is
Let's identify the value of "b" by comparing the general form of quadratic equation
Here the value of b = -6
To make it perfect square trinomial, we have to divide b value by 2 and make it square. Then we have to add it on both side of the equation.
(b/2) = (-6/2)^2 = (-3)^2 = -3*-3 = 9
So we need to add 9 on both sides of the equation in order to make it perfect square.
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Given:
ΔABC ΔDEF
To find:
The length of median CP
Solution:
In ΔABC,
AP = 12, BP = 12 and PC = 3x - 12
In ΔDEF,
DQ = 16, QE = 16 and FQ = 2x + 8
If two triangles are similar, then their median is proportional to the corresponding sides.
Do cross multiplication.
Add 192 on both sides.
Subtract 24x from both sides.
Divide by 24 on both sides.
⇒ 12 = x
Substitute x = 12 in CP.
CP = 3(12) - 12
= 36 - 12
= 24
The length of median CP is 24.
Step-by-step explanation:
the solution is in the picture
