Answer:
A. a parabola that opens down.
Step-by-step explanation:
First we can eliminate two answers, b and d, since parabalas that open left or right use the y variable.
Now the equation of a standard parabola is x². This means that there are no negative y values, and therefore it cannot open down, it is up.
With a NEGATIVE coefficient, the graph is flipped over the x axis, therefore making it open down.
Graphical proof is attached for further understanding, positive a is in red, negative a is in blue.
Answer:
Step-by-step explanation:
.<6 and <3
SOLUTION:
Interior angles that are non adjacent and lie on
opposite. In the figure, angles <5 and <4 are consecutive interior
angles. sides of the transversal are alternate interior
angles.
<4 and <7
SOLUTION:
In the figure, angles 1 and 3 are corresponding
angles. Use the Corresponding Angles Postulate:
If two parallel lines are cut by a transversal, then
each pair of corresponding angles is congruent
You multiply the number by itself however many times it says for example 2 to the second power 2x2 is 4
Let S(n) the statement, 2 is a factor of .
For n=1, 1^2 + 7(1) = 1 + 7 = 8, 1 is a factor of 8, then S(1) is true.
For n=2, we have 2^2 +7(2) = 4 +14 = 18, of course, 2 is a factor of 18, then S(2) is true.
For n=3, we have 3^2 +7(3) = 9 +21 = 30, of course, 2 is a factor of 30, then S(3) is true.