Let's solve this by using the quadratic formula:
Note that we only use the coefficients so a=12, b=-14, and c=-6.
Plug values in the quadratic equation:
And so by evaluating those values we obtain:
Now we have two answers which are our factors one where we add another where we subtract and so:
First factor:
Second Factor:
And so your factors are
meaning that those are your roots/x-intercepts.
1/28. The probability that both songs are rock songs is 1/28.
The easiest way to solve this problem is using probability.
This is a example of probability without replacement, using the probability property of P(A∩B) = P(A)*P(B).
The probability of choose a rock song is P(A) = 2/8, and the probability to choose the second song from the 7 songs remaining and be rock song assuming that the first song that she picked was rock song is P(B) = 1/7.
The probability that both songs are rock song is:
P(A∩B) = P(A)*P(B)
P(A∩B) = (2/8)(1/7) = 2/56
P(A∩B) = 1/28
146. They are asking for the angle XY, the blue line.
For instance, imagine it is 90 deg, instead of 73, it would cut the circle in two, and XY would be 180 deg. Imagine it would be 45 degrees, it would leave a quadrant, and that's 90 deg.
So the angle * 2 (they are different angles)
I think 'TheBestBrain' thought they were asking for the supplementary angle, but I think it is the arc length angle (blue line)
Answer:
31 feet
Step-by-step explanation:
Given: The length of ladder, leaned against wall= 32 foot
The base of ladder is 8 feet away from wall
Adjacent= 8 feet and Hypotenuse= 32 foot
we need to find height of wall till the ladder reach (Opposite).
We will use Pythagorean theorem; 
⇒
⇒
subtracting both side by 64
⇒ 
⇒
≅ 31 ft
∴ 31 ft high up the wall.
Applying the centroid theorem, the length of TY is calculated as: 18 units.
<h3>What is the
Centroid Theorem?</h3>
According to the centroid theorem, given a triangle like TUV with Y as the centroid, the theorem states that:
TY = 2/3(TW)
YW = 9 units
TW = TY + 9
Plug the values into the equation
TY = 2/3(TY + 9)
3(TY) = 2(TY + 9)
3(TY) = 2(TY) + 18
3(TY) - 2(TY) = 18
TY = 18
Learn more about the centroid theorem on:
brainly.com/question/20627009
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