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WINSTONCH [101]
3 years ago
5

What is the equation for passing through (-2,2) and (5,3)

Mathematics
1 answer:
Reil [10]3 years ago
5 0
\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
%  (a,b)
&&(~{{ -2}} &,&{{ 2}}~) 
%  (c,d)
&&(~{{ 5}} &,&{{ 3}}~)
\end{array}
\\\\\\
% slope  = m
slope = {{ m}}\implies 
\cfrac{\stackrel{rise}{{{ y_2}}-{{ y_1}}}}{\stackrel{run}{{{ x_2}}-{{ x_1}}}}\implies \cfrac{3-2}{5-(-2)}\implies \cfrac{3-2}{5+2}\implies \cfrac{1}{7}

\bf \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-2=\cfrac{1}{7}[x-(-2)]
\implies 
y-2=\cfrac{1}{7}(x+2)
\\\\\\
y-2=\cfrac{1}{7}x+\cfrac{2}{7}\implies y=\cfrac{1}{7}x+\cfrac{2}{7}+2\implies y=\cfrac{1}{7}x+\cfrac{16}{7}
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Two angles are supplementary. The first angle has 20 degreesmore the second angle. How ma y degrees are in each angle?
Vanyuwa [196]

Answer:

100 and 80

Step-by-step explanation:

Let x = be the first angle

x-20 is the second angle

They are supplementary so they add to 180

x+x-20 = 180

Combine like terms

2x-20 =180

2x-20+20 =180+20

2x= 200

Divide by 2

2x/2 = 200/2

x= 100

The first angle is 100 and the second is x-20

x-20 = 100-20=80

The two angles are 100 and 80

3 0
2 years ago
Ariel made 108 cupcakes. If 32 of them are chocolate, what percent of the cupcakes are vanilla?
Leni [432]

Answer:

About 70%

Step-by-step explanation:

Subtract the number of chocolate cupcakes from the total cupcakes.

108-32=76

76 cupcakes are vanilla.

Divide 76/108

76/108

70.3%

About 70% of the cupcakes are vanilla.

(I don't know if you are allowed to use a calculator in your class, but I did)

8 0
2 years ago
What is the product of 2 + 3x and 1 – 4x ?
Alenkinab [10]
Think of it as (-4x+1)(3x+2) then distribute: -4x x 3x= -12x^2, -4x x 2= -8x, 1 x 3x = 3x, and 2 x 1=2. put together all the answers we just got so: -12x^2 - 8x +3x +2 then simplify to get -12x^2 -5x +2
3 0
2 years ago
James bought the computer which was discounted from $350 to $273. What is the discount rate?
sasho [114]
<h3>Answer:  22%</h3>

Explanation:

amount saved = 350-273 = 77 dollars.

Divide this amount over the original price

77/350 = 0.22 = 22% is the discount rate

8 0
2 years ago
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This is what I put in my response

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3 years ago
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