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2 years ago

The point slope equation of a line is

Mathematics

2 answers:

vivado [14]2 years ago

5 0

Answer:

y-y1=m (x-x1)

Step-by-step explanation:

I hope this is what you're looking for!

EastWind [94]2 years ago

3 0

Step-by-step explanation:

Point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line and a point on the line (that is not the y-intercept).

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Ex 2.6

Anna007 [38]

$y=3x^4 -4x^3 -12x^2 +1\\
y'=12x^3-12x^2-24x\\\\
12x^3-12x^2-24x=0\\
12x(x^2-x-2)=0\\
12x(x^2+x-2x-2)=0\\
12x(x(x+1)-2(x+1))=0\\
12x(x-2)(x+1)=0\\
x=0 \vee x=2 \vee x=-1\\\\
\forall{x\in(-\infty,-1)\cup(0,2)}\ y'$
$y(-1)=3\cdot(-1)^4-4\cdot(-1)^3-12\cdot(-1)^2+1=3+4-12+1=-4=\\
=y_{min}$

5 0

3 years ago

Nicole wants to paint this figure on her wall in her bedroom. If paint cost $4.59 per square unit, how many square feet of paint

Crank

Answer: C.8 sq ft hope this helps:)

4 0

2 years ago

A ball is thrown upward with an initial velocity of 60 mph. it is thrown from a height of 5 feet. what is the maximum height it

natima [27]

Answer:

h = 61.25 m

Step-by-step explanation:

It is given that,

The initial velocity of the ball, v = 60 m/s

It is thrown from a height of 5 feet, $h_o=5\ ft$

We need to find the maximum height it reaches. The height reached by the projectile as a function of time t is given by :

$h=-16t^2+vt+h_0$

Putting all the values,

$h=-16t^2+60t+5$ .....(1)

For maximum height, put

$\dfrac{dh}{dt}=0\\\\\dfrac{-16t^2+60t+5}{dt}=0\\\\-32t+60=0\\\\t=\dfrac{-60}{-32}\\\\t=1.875\ s$

Put t = 1.875 in equation (1)

$h=-16(1.875)^2+60(1.875)+5\\\\h=61.25\ m$

So, the maximum height reached by the ball is 61.25 m.

8 0

3 years ago

Explain how to identify A relative maximum and relative minimum of a function using key features

Vlad1618 [11]

Found this on google to help you out but it states “ Find the first derivative of a function f(x) and find the critical numbers. Then, find the second derivative of a function f(x) and put the critical numbers. If the value is negative, the function has relative maxima at that point, if the value is positive, the function has relative maxima at that point.”

4 0

2 years ago

Answer 1-6 (about square root)

Taya2010 [7]

Answer:

1. For a cube, volume = $edge^{3}$