Which is the solution to the equation 2.6a+18.4=28.8? 1.4418.227
1 answer:
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Answer:
AC = 7.12 units
Step-by-step explanation:
A right triangle has two legs and a hypotenuse. The hypotenuse is opposite the right angle. As Angle C is the right angle, then the triangle can be constructed as shown in the picture attached. The sides of the triangle have a relationship known as the Pythagorean Theorem a² + b² = c². In the theorem, the legs of the triangle are a and b while the hypotenuse is c. Substitute a = x, b = x+6, and c = √52. Simplify and solve.
a² + b² = c²
x² + (x+6)² = √52²
x² + x² + 12x + 36 = 52
2x² + 12x - 16 = 0
You can use the quadratic formula to solve by substituting a = 2, b = 12, and c = -16.
The quadratic formula is .
Substitute and you'll have:
Only 1.12 is a solution since 7.13 will not satisfy the Pythagorean theorem
Side AC is 6 units longer than side BC. This means x = BC and AC = x + 6.
AC = 1.12 + 6 = 7.12
Given:
The polynomial function is
Yuri thinks that is a root of the given function.
To find:
Why cannot be a root?
Solution:
We have,
If is a root, then the value of the function at
is 0.
Putting in the given function, we get
Taking LCM, we get
Since the value of the function at is not equal to 0, therefore,
is not a root of the given function.