Answer:
Hello! answer: x = 19
Step-by-step explanation:
This is a supplementary angle! So it will add up to 180 degrees 180 - 123 = 57 so we know something multiplied by 3 will equal 57 and 19 × 3 = 57 so x = 19 Hope this is a good explanation!
It most likely will be the initial value when dealing with a cost/value problem. By convention the initial value is set at 0 time.
For example, an exponential function of interest on a savings account or depreciation of a car. (0 years, initial value) As time progresses the value changes.
If the graph is not of a cost/value problem then it could be something else entirely or if for example you were trying to back calculate the inital value of something and chose the present year as 0 time. Initial value being the y-intercept is more or less determined by how the problem is set up and bit is simplest to set it as so.
5,998.7714 ft
Step-by-step explanation:
Well find x in the illustration;
First To find the opposite side of the right-angled triangle we'll using tangent of the given angle
Tangent Ф = Length of the opposite side / Length of the adjacent side
Tan 43 = h / 6390
h = Tan (43) * 6390
h = 5,958.7714 ft
Then we'll add the height of the beacon which is 40 ft above ground;
x = 5,958.7714 ft + 40 ft
x = 5,998.7714 ft
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The equation of line CD in standard form is: B. 5x - 3y = 30
<h3>How to determine the equation of line CD in standard form?</h3>
Mathematically, the standard form of the equation of a straight line is given by this mathematical expression (linear function);
y = mx + c
Where:
- x and y are the points.
- m represents the slope, gradient, or rate of change.
- c represents the intercept.
Next, we would determine the slope of this line by using this formula:
Slope, m = Δy/Δx
Slope, m = Change in y-axis/Change in x-axis
Slope, m = (0 + 5)/(6 - 3)
Slope, m = 5/3
At point (6, 0), the point-slope equation of the line is given by:
y - y₁ = m(x - x₁)
y - 0 = 5/3(x - 6)
y = 5x/3 - 30/3
y = 5x/3 - 10
Multiplying all through by 3, we have:
3y = 5x - 30
Rearranging the equation, we have:
5x - 3y = 30
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Answer:
y=-75x+2400
Step-by-step explanation:
y is the height
-75 is the rate of change so you put that before your x
2400 is your starting value/y intercept
not very good explanation but hope this helps