Answer:
A
Step-by-step explanation:
Here, we want to choose the option that best suit the question.
Let’s consider the cases individually;
for (x-6) = 0
we have a root at x = 6 which is a real root
Secondly
x^2 + 8x + 16 = x^2 + 4x + 4x + 16 = 0
That would be;
x(x + 4) + 4(x + 4)
(x + 4)(x + 4) = 0
Thus x = - 4 twice
So the roots of the given equation would be;
6 , -4 , -4
Which is 3 real roots but only 2 real distinct roots
Answer:
6 < x < 30
Step-by-step explanation:
By the Hinge Theorem, we know that
Angle BAC > Angle DAC
The two triangles that make the diamond have two equal sides. The third side of the upper triangle is longer than the third side if the lower triangle. To fit in the longer side, line AB had to be pushed outwards, forming a larger angle.
When we compare the two angles 48 and (2x-12), we now know that 48 is larger.
48 > 2x-12
48+12 > 2x
60 > 2x
60/2 > x
x < 30
Furthermore, angle DAC can't be negative or zero
2x - 12 > 0
2x > 12
x > 6
Answer:
<h2>x < - 2</h2>
Step-by-step explanation:

First subtract 7x from both sides of the inequality
That's

<u>Add 10 to both sides of the inequality</u>

<u>Divide both sides by - 15</u>

Since the denominator is negative the sign will change
We have the final answer as
<h3>x < - 2</h3>
Hope this helps you
Step-by-step explanation:
it's gonna either be B or D
Answer:
14 units
Step-by-step explanation: