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Murrr4er [49]
3 years ago
6

D.) A line that has a slope of 3, and goes through the point (2,8); answer in point-slope form.

Mathematics
1 answer:
PIT_PIT [208]3 years ago
8 0

Answer:

y - 8 = 3(x - 2)

Step-by-step explanation:

Start with the basic point-slope form of the equation of a straight line:

y - k = m(x - h).  Here the given point is (2, 8), so assign the value 2 to h and the value 8 to k, also the value 3 to m.  Then:

y - 8 = 3(x - 2)

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There is 5/6 of an apple pie left from dinner. Tomorrow, Victor plans to eat 1/6 of the pie that was left. How much of the whole
Lady_Fox [76]
5/6 = 83% 
1/6= 16%

83% of the apple pie was left from dinner. 
Victor is gonna eat 16% of the pie tomorrow 
You have to subtract 16% from 83%
In other words 5/6-1/6


The denominators are same so you don't have to do anything to them  
5/6 - 1/6 

5-1=4

4/6 of the pie would be left 
In simplest form it would be 

4/6     <span> ÷2</span>
=2/3

2/3 is in simplest form 

5 0
3 years ago
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A water taxi travels around an island in a path that can be modeled by the equation y =0.5(x - 16). A water skier is skiing alon
Eddi Din [679]

I realize that the equation is different, but do it in the same way, it'll help! It is given that the water​ taxi's path can be modeled by the equation y =0.5(x - 14)^2. ​Therefore, this is one of the equations in this system. Find a linear equation that will model the path of the water​ skier, which begins at the point (6,6) and ends at the point (8,-4). The slope is (-5). Use the slope and one point on the line to find the​ y-intercept of the line.  The​ y-intercept of the line that passes through the points (6,6) and (8,-4) is (0,36). Thus, the equation is y=-5x+36. Now, to determine if it is possible for the water skier to collide with the​ taxi, we have to determine if there is a solution to the system of equations. To determine if there is a solution to the system of​ equations, solve the system using substitution.​ First, write the equation that models the water​ taxi's path in standard form. y=0.5(x - 14)^2-->0.5x^2-14x+98. Use substitution. Substitute for  y in the equation and then solve for  x. As the expression on the left side of the equation cannot easily be​ factored, use the Quadratic Formula to solve for x. Do x=-b(plusorminus)sqrrtb^2-4ac/2a. Identify a, b, and c. a=0.5, b=-9, and c=62. Substitute into the Quadratic Formula. If there is a negative number under the radical, there are NO solutions. Thus, the path of the water skier will never cross the path of the taxi.

In conclusion: It is not possible that the water skier could collide with the taxi as the two paths never cross.

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3 years ago
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Tomtit [17]
Yes this is the best kind of question
4 0
3 years ago
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In the diagram below, assume that all points are given in rectangular coordinates. Determine the polar coordinates for each poin
Korolek [52]

Step-by-step explanation:

We have cartisean points. We are trying to find polar points.

We can find r by applying the pythagorean theorem to the x value and y values.

r  {}^{2} =  {x}^{2}  +  {y}^{2}

And to find theta, notice how a right triangle is created if we draw the base(the x value) and the height(y value). We also just found our r( hypotenuse) so ignore that. We know the opposite side and the adjacent side originally. so we can use the tangent function.

\tan(x)  =  \frac{y}{x}

Remeber since we are trying to find the angle measure, use inverse tan function

\tan {}^{ - 1} ( \frac{y}{x} )  =

Answers For 2,5

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So r=sqr root of 29

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So the answer is (sqr root of 29,68).

For -3,3

{ -3 }^{2}  +  {3}^{2}  =  \sqrt{18}  = 3 \sqrt{2}

\tan {}^{ - 1} ( \frac{3}{ - 3} )  =  - 45

Use the identity

\tan(x)  =  \tan(x + \pi)

So that means

\tan(x)  = 135

So our points are

(3 times sqr root of 2, 135)

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\tan {}^{ - 1} ( \frac{ - 3.5}{ - 5} )  = 35

So our points are (sqr root of 37.25, 35)

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{0}^{2}  +  { - 5.4}^{2}  = \sqrt{}  29.16 = 5.4

So r=5.4

\tan {}^{ - 1}  (0)  = undefined

So our points are (5.4, undefined)

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Natasha2012 [34]

Answer:

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Step-by-step explanation:

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