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Answer:
y = 3x -8
Step-by-step explanation:
We assume you want the tangent to the parabola y = x² -3x +1 at the given point. The slope is found using the derivative of the function at that point.
y' = 2x -3
At x=3, the slope is ...
y' = 2(3) -3 = 3
The equation of the line through point (3, 1) with a slope of 3 is ...
y -1 = 3(x -3) . . . . use the point-slope form of the equation for a line
y = 3x -9 +1 . . . . . eliminate parentheses, add 1
y = 3x -8
The distance covered by the motorcycle is 31.4 km and displacement will be equal to 0.
<h3>
What is Distance and Displacement ?</h3>
Distance and Displacement both are the measure of the movement of an Object from one point to another.
Distance is a scalar quantity while Displacement is a vector quantity , and so it depends upon direction.
Distance travelled will always be positive but Displacement can be positive , negative and zero.
A motorcycle rides from point P to Q to R to S and finally to P in a circular path as shown in the below figure
The missing figure is attached with the answer.
(a) The distance covered by the motorcycle is
2πr = 2 * 3.14 * 5 = 31.4 km
(b) The displacement will be equal to 0 as the starting and the ending point is same.
To know more about Distance and Displacement
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In elementary algebra, a trinomial is a polynomial consisting of three terms or monomials.
Answer:
2x² - 3x - 2
Explain:
Use the FOIL method: (a +b)(c +d) = ac + ad +bc +bd.
2x² + x - 4x - 2
Collect like terms.
2x² + (x - 4x) - 2
Simplify.
2x² - 3x - 2
Answer:
12x + 4
Step-by-step explanation:
ok so a rectangle has 4 sides, 2 of which are called lengths, and 2 of which are widths.
length = 2x-3
width = 4x+5
the perimenter is the total of the 4 sides.
2(2x-3) = 4x-6 (the total for lengths)
2(4x+5) = 8x+10 (the total for widths)
add the 2 together:
12x+4