Answer:
456
Step-by-step explanation:
There are a lot of moving parts. I think that I got all of it.
A B denotes to all common elements in both A and B
- Sample space=S={1,2,3,4,5,6,7,8,9,10}
So
2 is common
Hence
A $\cap$ B={2}
Answer:
p=-1
Step-by-step explanation:
y=3p²-4
=3p-4
-3p=-4
p=-4+3
p=-1
The option c) x < -24 represents the solution set of the given inequality.
<u>Step-by-step explanation</u>:
The given inequality is −1/4x−12 > −6
<u>To find the solution set :</u>
Keep the x term on one side and constants on other side of the inequality.
-1/4x > -6+12
-1/4x > 6
-x > (64)
-x > 24
Multiply both sides with -1 to remove the negative sign of x.
While multiplying or dividing a negative number in an equality, the inequality sign must be flipped.
⇒ x < -24
Answer:
base = 17.71 ft
height = 9.71ft
Step-by-step explanation:
Since we are not given the base and heigh directly, to answer this question we need two equations: (1) one to express the area (A) of a triangle, and (2) one describing the fact that height (h) and the base (b) lengths are related. Setting up and solving the system of these two equations for base leads to a quadratic equation:
which has two solutions but one is negative, i.e., not applicable. The good solution for base is .
Since we know the height is 8 ft less than the base, the height must be 9.71ft