Answer:
k=10
Step-by-step explanation:
g(x)=2x^2+ kx+18
when x=-2
g(-2)=2 (-2)^2 -2k +18
Since when x is -2, y =6
6=2 (-2)^2 -2k +18
6=18+8-2k
2k=26-6
2k=20
k=10
with the equation of the slope for two points given, m=Y2-Y1/ X2-X1, you can obtain the slope , x1= 3, y1 = -1 , x2= -1, y2= 2
m = 2-(-1)/ -1-3 ⇒ m= 3/-4, m = -3/4, therefore the slope is - 3/4
Answer:
Step-by-step explanation:
∩
is asking for the intersection of sets
and
, or simply, which numbers can be found in both sets.
The numbers shared between the two sets are
.
Next, we need to union this result with the set
, or simply, combine the numbers in both sets together.
This would result in 
Answer:
The lengths of the sides are 12cm, 28cm and 36cm.
Step-by-step explanation:
Let the smallest side be 4x, the middle side be 7x and the largest side be 9x.
Smallest side + middle side + largest side = 60cm
4x + 7x + 9x = 60
20x = 60
x = 60 ÷ 20
x = 3
Smallest side (4x) = 3 × 4
= 12
Middle side (7x) = 7 × 4
= 28
Largest side (9x) = 9 × 4
= 36