Answer:
Option (1)
Step-by-step explanation:
x -2 -1 0 1 2
y 10 2.5 0 2.5 3.0
Ist difference,




= -2.5


= 2.5


= 7.5
2nd difference,


= 5


= 5


= 5
Since 2nd difference is common, given table represents a quadratic equation.
Let the equation is,
y = ax²+ bx + c
For a point (0, 0) passing through the quadratic equation,
0 = c
Therefore, quadratic equation is y = ax² + bx
Since ordered pair (-1, 2.5) passes through the graph of the function,
2.5 = a(-1)² + b(-1)
a - b = 2.5 ------(1)
For another point (1, 2.5)
2.5 = a(1)² + b(1)
a + b = 2.5 ------(2)
By adding equations (1) and (2),
2a = 5
a = 2.5
and from equation (2)→ y = 0
Therefore, equation of the quadratic function given in the table is y = 2.5x²
Option (1) is the answer.
The slope of a line on a graph describes how "steep" the curve is by using the rise divided by the run (y=mx+b). The slope on the line graph usually represents how much of an increase or decrease is occurring per each unit
Answer:
36°
Step-by-step explanation:
The image of the question is obtained online and attached to the solution of this question.
The tent pole is the line in the middle of the triangle and it is stated explicitly in the question that this tent pole bisects the angle that the two sides make with each other at the top.
So, the angle that the tent pole makes with each side = (72°/2) = 36°
Hope this Helps!!!
Answer:
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Step-by-step explanation: