Answer:
y=1.8x-9
Step-by-step explanation:
if they are intercepts so the x/y will be zero, so in y intetceot the x is zero, and in the x itercept the y is zero.
0,-9
5,0
we calculate the slooe / rise
-9-0/0-5 = 1.8
we then use this formula
y-y1=rise(x-x1)
y-0=1.8(x-5)
y=1.8x-9
Using derivatives, it is found that regarding the tangent line to the function, we have that:
- The equation of the line is y = 962x - 5119.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
The slope of the line tangent to a function f(x) at x = x' is given by f'(x'). In this problem, the function is given by:
f(x) = 5x³ + 2x + 1.
The derivative is given by:
f'(x) = 15x² + 2.
Hence the slope at x = 8 is:
m = f'(8) = 15(8)² + 2 = 962.
The line goes through the point (8,f(8)), hence:
f(8) = 5(8)³ + 2(8) + 1 = 2577.
Hence:
y = 962x + b
2577 = 962(8) + b
b = -5119.
Hence the equation is:
y = 962x - 5119.
More can be learned about tangent lines at brainly.com/question/8174665
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Answer:
<h2>(3,-5)</h2>
Step-by-step explanation:
(4,4)
-9 in the y-axis
(4,-5)
-1 in the x-axis
(3,-5)
Answer:
The area will be 
where r is the length of the leash.
Step-by-step explanation:
The area of a circle is pi times the radius squared. One forth of that area is not available for the dog to run: its the corner of the house. so what's left is 3/4 of the area of the circle. (3/4)πr²
Since the length of the leash is not given in the question, no specific Area can be answered. Once that value is substituted for r, the actual area can be calculated.
19.6 would be the area of a single base circle πr² is the area formula
