Yes it proportional because they all function of y=3x
0x3=0
2x3=6
4x3=12
6x3=18
In the image, as denoted by similar sides OP and MN, we can conclude that the 2 triangles are similar triangles. To look for the value of x (which we can substitute later to find the length of segment LP), we relate the relations of segments LO and LP to segments LM and LN. This relation is shown below:
LO/LP = LM/LN
22 / x+12 = 30 / x+12 + 5
22 / <span>x+12 = 30 / x+17
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Cross-multiplying:
30x + 360 = 22x + 374
Isolating x to one side of the equation by subtracting 22x and 360 from both sides:
30x + 360 - 360 - 22x = 22x + 374 - 360 - 22x
8x = 14
x = 1.75
Since we now have the value of x, we substitute this to the equation of LP:
LP = x + 12
LP = 1.75 + 12
LP = 13.75
Therefore the value of LP is 13.75 in.
Answer:
1 month of game play will cost $12
Step-by-step explanation:
Here in this question, we are interested in calculating the cost of one month of game play.
From the question, we know the following;
Angie bought 1 software package and 4 months of game play
while
Kenny bought 1 software package and 1 month of game play.
The total packages and months bought will be;
2 packages and 5 months of game play
From the question, we are told that 1 month of game play is $35, so 2 months of game play will be 2 * $35 = $70
So the amount remaining for the 5 months will be; $130 - $70 = $60
So if 5 months cost $60, it means one month will be $60/5 = $12
Answer:
y= 8(x-5)² + 6
Step-by-step explanation:
Parabolas have two equation forms, namely; the standard and vertex form.
In the vertex form, y = a(x - h)² + k, the variables h and k are the coordinates of the parabola's vertex.
In this case; a=8, h =5, and k=6
Therefore;
The vertex equation will be
y= 8(x-5)² + 6
Answer:
b
Step-by-step explanation:
