ANSWER: Exact Form:
Decimal Form: 3.16227766
STEP-BY-STEP EXPLANATION:
(1, 2) and (4,3)
Use the distance formula to determine the distance between the two points.
Distance = \sqrt{(X2-X1)^{2 }+ (Y2-Y1)^{2} }
Substitute the actual values of the points into the distance formula.
\sqrt{(4-1)^{2 }+ (3-2)^{2} }
The result can be shown in multiple forms.
Exact Form:
Decimal Form: 3.16227766
Answer:
The fourth graph will be the solution.
Step-by-step explanation:
The system of linear inequalities are
- 3x - 3y < - 3, ⇒ x + y > 1
And y ≤ -x + 1, ⇒ x + y ≤ 1
There is no solution for those two inequalities because there are no values of x and y that can satisfy both the equations.
Now, the fourth graph will be the solution as there is no shaded region for the solution in the graph and also the line x + y = 1 is plotted as a dotted line that means the solution does not include the line also. (Answer)
Answer:
32x - 16
Step-by-step explanation:
16(2x - 1)
16 • 2x - 16
32x - 16
Answer:
3 + 2k
Step-by-step explanation:
1/5(15+10k)
distribute
1/5 * 15 + 1/5 * 10k
3 + 2k
The number of tickets to sell at the door is 48 tickets.
<u>Step-by-step explanation</u>:
- Cost of play at the door = $5
- Cost of play in advance = $4
- The theater club wants to raise at least $400 from the play.
- Number of tickets sold in advance = 40 tickets.
Let 'x' be the number of tickets need to sell at the door.
5x + 4(40) = 400
5x + 160 = 400
5x = 240
x = 240/5
x = 48 tickets
The number of tickets to sell at the door is 48 tickets.