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mezya [45]
3 years ago
6

Find the equation of a line that passes through the points (-1,5) and (3,-3). Write the equation in slope-intercept, point-slope

, and standard form.
Mathematics
1 answer:
Vesnalui [34]3 years ago
6 0
\bf (\stackrel{x_1}{-1}~,~\stackrel{y_1}{5})\qquad 
(\stackrel{x_2}{3}~,~\stackrel{y_2}{-3})
\\\\\\
slope =  m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-3-5}{3-(-1)}\implies \cfrac{-3-5}{3+1}\implies -2
\\\\\\
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-5=-2[x-(-1)]
\\\\\\
\boxed{y-5=-2(x+1)}\implies y-5=-2x-2\implies \boxed{\stackrel{slope-intercept~form}{y=-2x+3}}
\\\\\\
\boxed{\stackrel{standard~form}{2x+y=3}}
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What is the value of x in the diagram? A circular pool with a diameter of 18 ft will have a uniform 4 ft concrete walkway poured
Lunna [17]
If you visualize the problem, there are two concentric circles, the pool, and the pool plus the walkway. So, we have to subtract the area of these two concentric circles to find the walkway.

Bigger circle: Pool plus walkway
----------------------------------
diameter = 18 + 4(2)   -- this is because there is 2 ft of walkway at each far end
diameter = 26 ft
Area = pi*(26/2)^2
Area = 530.93 ft2

Smaller circle:pool
---------------------
diameter = 18 ft
Area = pi*(8/2)^2
Area = 50.27 ft2

Area of walkway
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A = 530.93 - 50.27
A = 480.66 ft2

Then the cost would be
Cost = $4.25 * 480.66
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8 0
3 years ago
A ball dropped from the top of a building can be modeled by the function
timama [110]

A ball dropped from the top of the building can be modeled by the function f(t)=-16t^2 + 36 , where t represents time in seconds after the ball was dropped. A bee's flight can be modeled by the function, g(t)=3t+4, where t represents time in seconds after the bee starts the flight.

4 0
3 years ago
Santino bought a book for $23.54. The price of the book was $22. What was the sales-tax rate?
IRINA_888 [86]

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7 0
3 years ago
Mr.Johnson is planning what to wear tomorrow. He has a white shirt, a plaid shirt, and a blue shirt. He has four pairs of pants
const2013 [10]

Answer:

Mr. Johnson has 12 possibilities.

Step-by-step explanation:

The information provided are:

  • Mr. Johnson has a white shirt, a plaid shirt, and a blue shirt.
  • Mr. Johnson  has four pairs of pants, black, brown, gray, and white.
  • He chooses one shirt and one pair of pants.

Compute the number of ways to select a shirt and a pair of pants as follows:

Total number of ways = Number of Shirts × Number of pair of pants

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Thus, Mr. Johnson has 12 possibilities.

8 0
3 years ago
10 cm
kirza4 [7]
Um can we see the cylinder
7 0
3 years ago
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