Answer:
x = 9
Step-by-step explanation:
The product of the external part and the entire part of one secant is equal to the product of the external part and the entire part of the other secant, that is
5(x - 6 + 5) = 4(x - 3 + 4)
5(x - 1) = 4(x + 1) ← distribute parenthesis on both sides
5x - 5 = 4x + 4 ( subtract 4x from both sides )
x - 5 = 4 ( add 5 to both sides )
x = 9
Answer: 3 units
Step-by-step explanation:
the volume of a cone C = πr²h/3
C = 18π, h =2x, r = diameter/2 = 2x/2 =x
18π = π* x²* 2x/3
divide through by π
18 = x² * 2x/3
multiply through by 3
54 = 2x³
divide through by 2
27 = x³
x =∛27 = 3
x = 3 units = radius
Answer: 2y+6
Step-by-step explanation:
the point (-1,5 ) is NOT a solution to the inequality.
There are three steps in graphing an inequality:
Rearrange the equation so "y" is on the left and everything else on the right.
Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)
Shade above the line for a "greater than" (y> or y≥)
or below the line for a "less than" (y< or y≤).
Now to solve this, graph the line y=4x-6
Lets use the point (0,0)
0<-6, is NOT true
So we shade everything to the left of the line y=4x-6
Hope that helped.
Answer:
Step-by-step explanation:
"Inversely proportional to x" in this situation is represented by a = k/x.
Find k:
Let a = 15 and x = 25, then calculate k:
15 = k/25)
Multiplying both sides by 25 yields k = 15(25), or k = 3/5
3
and so a = -----------
5x
