What is the volume of an 8cm cube
1 answer:
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Answer:
The equation of the parabolic function is :
Step-by-step explanation:
The standard equation of a parabola is given by:
where represents the vertex of the parabola.
From the graph shown in figure we can find the vertex of the parabola which is the minimum point of parabola and lies st point
So, we can say:
Plugging in the values of vertex in standard equation of parabola,
Simplifying the equation:
We can find value of by plugging in a point from the graph.
Using point (0,-2) which lies on graph.
Plugging in the given point.
Adding 3 to both sides.
∴
Plugging in , the equation of parabola can be written as:
Answer:
Step-by-step explanation:
Given:
Fixed salary earned by Jeanette per week =
Additional amount earned by her for each sign she sells =
To find: linear equation which represents her weekly pay based on the number of signs she sells.
Solution:
Let number of signs sold by Jeanette be x
So, her weekly pay = fixed pay + Additional amount earned by her for each sign she sells
Answer:
m∠2 = 53°
Step-by-step explanation:
We will use two properties of a rhombus to solve this problem.
1). Opposite angles of a rhombus are equal.
2). Diagonals bisect the angles.
Since ∠JFG and ∠JHG are the opposite angles of the rhombus,
m∠JFG = m∠JHG
Since, diagonal FH bisect ∠JHG,
m∠FHJ = m∠GHF = m∠JFH = m∠GFH = 37°
In triangle JFH,
m∠FHJ + m∠JFH + m∠HJF = 180°
37° + 37° + m∠HJF = 180°
m∠HJF = 180 - 74
= 106°
Since, diagonal GJ bisects angle HJF,
m∠FJG = = 53°
Therefore, m∠2 = 53°.