Answer:
-1, -12
Step-by-step explanation:
you take b which is 6 and make it negative, then you take a and multiply it by 2, which is 6. you then take the 2 numbers and put the -b over 2a in this formula -b/2a giving you -1 as your x value
after you do that, you input the -1 into the equation as x and the value you get out of that (-12) is the y value of the vertex
Answer:
Given
This is our initial premise.
2) Linear pairs of angles are supplementary
This one is a little questionable, as some definitions of linear pairs require supplementary angles, whereas others only require the intersection of two lines. Check your book or notes for any given theorems regarding supplementary angles.
3)
m
∠
A
B
C
+
m
∠
C
B
D
=
180
∘
The definition of supplementary angles is that two angles are supplementary if their measures sum to
180
∘
.
4) Substitution of 1. into 3.
As with 2), this may differ based on the teacher or book. Some may prefer that you write out the equation, whereas others may be satisfied with the references as given. Check for similar examples.
5)
m
∠
A
B
C
=
90
∘
Subtracting
90
∘
from each side of 4. gives us the above result.
6) Definition of right angle
Step-by-step explanation:
Answer:
Step-by-step explanation:
1) In this question we've been given "a", the leading coefficient. and two roots:
2) There's a theorem, called the Irrational Theorem Root that states:
If one root is in this form 
then its conjugate 
. is also a root of this polynomial.
Therefore
3) So, applying this Theorem we can rewrite the equation, by factoring. Remembering that x is the root. Since the question wants it in this expanded form then:
Answer: The required probability is 0.3296.
Step-by-step explanation:
Since we have given that
Number of songs = 105
Number of songs are by the Beatles = 10
So, Number of songs are not by the Beatles = 105-10=95
So, the probability that the first Beatles song heard is the fifth song played is given by
Hence, the required probability is 0.3296.
Answer:
Point C
Step-by-step explanation:
Point c is the only point on the number line which is in between 2 and 3.
<em>Thus,</em>
<em>point c is the answer.</em>
<em>Hope this helps :)</em>
