Answer:
Factoring the trinomial:
we get the factors 
Step-by-step explanation:
We need to factor the trinomial: 
We can factor the trinomial by breaking the middle term i.e 13x
Such that adding or subtracting gets the both terms we get 13x and multiplying both terms we get 12x^2
We can break 13x as: 12x and x
Adding them we get 13x and multiplying them we get 12x^2
So,

So, Factoring the trinomial:
we get the factors 
Answer:
17
Step-by-step explanation:
Number of students in soccer club, n(S) = 50
Number of students in Art club, n(A) = 53
Number of students in Gaming club, n(G)
n(
) = 100
n(
) = 9
n(
) = 20
n(
) = 35
n(
) = 29
Formula:
n ( A ∪ B ∪ C ) = n(A) + n(B) + n(C) – n ( A ∩ B ) – n(B ∩ C) – n (A ∩ C) + n( A ∩ B ∩ C )
Putting the values:
100 = 50 + 53 + n(G) - 20 - 35 - 29 + 9
100 = 112 + n(G) - 84
n(G) = 72
Number of students in gaming club only = n(G) - n(
) - n(
) + n(
)
= 72 - 35 - 29 + 9
= <em>17</em>
Answer:
case a)
----> open up
case b)
----> open down
case c)
----> open left
case d)
----> open right
Step-by-step explanation:
we know that
1) The general equation of a vertical parabola is equal to

where
a is a coefficient
(h,k) is the vertex
If a>0 ----> the parabola open upward and the vertex is a minimum
If a<0 ----> the parabola open downward and the vertex is a maximum
2) The general equation of a horizontal parabola is equal to

where
a is a coefficient
(h,k) is the vertex
If a>0 ----> the parabola open to the right
If a<0 ----> the parabola open to the left
Verify each case
case a) we have

so


so

therefore
The parabola open up
case b) we have

so



therefore
The parabola open down
case c) we have

so



therefore
The parabola open to the left
case d) we have

so



therefore
The parabola open to the right
The correct answer is D
Hope this helped :)
Answer:
y + 13 = 5(x + 2)
Step-by-step explanation:
<h3>Point - slope form of equation: </h3>

Slope intercept of the line : y =5x - 3
Comparing with y = mx +b , m =slope = 5
m = 5 and Point (-2 ,-13)
y - [-13] = 5(x - [-2])
y + 13 = 5(x + 2)