Answer:
x = 2
x = -3/2 or -1.5
Step-by-step explanation:
For this, I would use the "slip and slide" method. LOL I know the name is cheesy, but that's what my teacher called it!
First, you "slip" the coefficent of the leading term (2) to the constant, and multiply.
The equation becomes:
x² - x - 6(2) = 0
x² - x - 12 = 0
Then, you factor this out by looking at the second and third terms. You're looking for 2 factors of -12 that would add up to -1 ( the coefficent of the second term).
Automatically, think of 3 and 4, because the difference between them is 1.
The factors must be (x-4) and (x+3) because they multiple to -12, and add up to -1.
This step is extremely important! Lol I used to forget it a lot, but make sure you divide the constant in each factor by the original number you "slipped".
It would become (x-(4/2))(x+3/2) = (x-2)(x+3/2)
With (x+3/2), you don't want to leave it as a fraction or decimal. It's equivalent to (2x+3). However, the informal form is easier to identify the value of x.
Answer:
45 degrees
Step-by-step explanation:
Think of this web as a circle. This circle is divided into 8 equal pieces.
A circle has 360 degrees in it. If we divide 360 by 8, we get 45. This means that each wedge is 45 degrees, which means that in order to rotate the image to look the same, we must rotate it by 45 degrees.
Answer:
=k6+
−9
/4 k5+
1
/4 k4+ −7
/4 k3+ −9
/4 k2+7k−5
Step-by-step explanation:
The area of a circle is given in terms of circumference by
.. A = C²/(4π)
Then the ratio A/C is
.. A/C = C/(4π)
Substituting the given information, we have
.. 16 cm = C/(4π)
.. C = (4π)*16 cm = 64π cm
.. C ≈ 200.96 cm
