Answer:
-4<x<-1
Step-by-step explanation:
To solve the problem, we divide the whole expression by 2:
2x^2 + 10x < –8 → x^2 + 5x < –4
→ x^2 + 5x + 4 < 0
Factorizing
→ (x+4)(x+1) < 0
The expression is ONLY negative when:
x>-4 and x<-1
Therefore, the solution is:
-4<x<-1
Whenever u multiply or divide an inequality by a negative number u must flip the inequality sign <span />
Remember, the volume formula of a sphere is
.
Set that equation equal to whatever volume they give you and solve for r.
=
Now solve for r! I know you can do this. If you need help, just comment.
9514 1404 393
Answer:
11) x = 9
12) x = 9
Step-by-step explanation:
11) Corresponding segments are proportional, so ...
x/6 = 12/8
x = 6(12)/8 . . . multiply by 6
x = 9
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12) Similar triangle relationships show you the geometric mean relationship that applies in this case.
long side/short side = x/3 = 27/x
x² = 3·27 . . . . . . cross multiply
x = √(3·27) . . . . geometric mean relationship
x = 9
