Area of triangle = 1/2 x base x height:
78 = 1/2 x base x 9 3/4
Multiply both sides by 2:
156 = base x 9 3/4
Divide both sides by 9 3/4:
Base = 16 inches
The function in terms of the time (t) is t=d/r and the value of the time (t) for the given values is 5.
<h3>Linear Function</h3>
An equation can be represented by a linear function. The standard form for the linear equation is: ax+b , for example, y=2x+7. Where:
a= the slope
b=constant term that represents the y-intercept.
For the given example: a=2 and b=7.
In the exercise is asked the equation for the time (t) in the function of the distance (d) and the rate (r).
Thus, if d=rt, we will have t= d/r
Replacing the variables for the given values for finding t. The question gives:
distance (d) =40
rate (r) = 8
Thus, you will have t= 40/8. Then, t=5
Therefore, the answer is the fourth option.
Read more about the linear equations here:
brainly.com/question/2030026
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In y = mx + b form, the slope is in the m position and the y intercept is in the b position.
5x + 2y = 8
2y = -5x + 8
y = -5/2x + 8.....slope (m) is -5/2
3x - 7y = 10
-7y = -3x + 10
y = 3/7x - 10/7.....y int (b) = -10/7
so ur equation with slope(m) of - 5/2 and y int (b) of -10/7 is :
y = -5/2x - 10/7 <== slope intercept form
