The x-coordinate of the point (50, 55) is 50
<h3>What is graph?</h3>
A graph can be defined as a pictorial representation or a diagram that represents data or values.
The distance of point (50, 55) perpendicular to y-axis
Thus, perpendicular distance = 50 units
The x-coordinate of the point (50, 55) is 50
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The function represents a <em>cosine</em> graph with axis at y = - 1, period of 6, and amplitude of 2.5.
<h3>How to analyze sinusoidal functions</h3>
In this question we have a <em>sinusoidal</em> function, of which we are supposed to find the following variables based on given picture:
- Equation of the axis - Horizontal that represents the mean of the bounds of the function.
- Period - Horizontal distance needed between two maxima or two minima.
- Amplitude - Mean of the difference of the bounds of the function.
- Type of sinusoidal function - The function represents either a sine or a cosine if and only if trigonometric function is continuous and bounded between - 1 and 1.
Then, we have the following results:
- Equation of the axis: y = - 1
- Period: 6
- Amplitude: 2.5
- The graph may be represented by a cosine with no <em>angular</em> phase and a sine with <em>angular</em> phase, based on the following trigonometric expression:
cos θ = sin (θ + π/2)
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Answer:
y = 3
Step-by-step explanation:
-5y + 8 = -7
subtract 8 from both sides
-5y = -15
now, divide -5 from both sides
y = 3
Answer: Yes, a triangle can have sides of those lengths.
Step-by-step explanation:
Answer:
See below
Step-by-step explanation:
I assume you mean 
The equation is already in vertex form 
where 
affects how "fat" or "skinny" the parabola is and 
is the vertex. Therefore, the vertex is 
.
The axis of symmetry is a line where the parabola is cut into two congruent halves. This is defined as 
for a parabola with a vertical axis. Hence, the axis of symmetry is 
.
The minimum value is the smallest value in the range of the function. In the case of a parabola, the y-coordinate of the vertex is the minimum value. Therefore, the minimum value is 
.
The interval where the function is decreasing is 
The interval where the function is increasing is 
