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bearhunter [10]
4 years ago
14

The graph of a line passes through the points (0, -2) and (6, 0). What is the equation of the line?

Mathematics
2 answers:
adelina 88 [10]4 years ago
7 0
\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%   (a,b)
&({{ 0}}\quad ,&{{ -2}})\quad 
%   (c,d)
&({{ 6}}\quad ,&{{ 0}})
\end{array}
\\\\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{0-(-2)}{6-0}\implies \cfrac{0+2}{6-0}
\\\\\\
\cfrac{2}{6}\implies \cfrac{1}{3}

\bf \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-(-2)=\cfrac{1}{3}(x-0)
\\\\\\
y+2=\cfrac{1}{3}x\implies y=\cfrac{1}{3}x-2
Tcecarenko [31]4 years ago
6 0

Answer:

y = 1/3x - 2

Step-by-step explanation:

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What is the area of parallelogram ABCD.
noname [10]
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7 0
3 years ago
Drag and drop the answers into the boxes to correctly complete the statement.
Mila [183]

A sequence of transformations that maps △DEF to △D′E′F′ is a rotation of 90° counterclockwise about the origin followed by a translation two units right.

<h3>What is the sequence of transformations?</h3>

The sequence of vertices ABC(DEF in this question) is clockwise, as is the sequence of A'B'C'(D'E'F in this question). Thus, an even number of reflections is involved, if any reflections are involved. The offered choices do not include suitable reflections.

The orientation of AB(DE) is toward the right. The orientation of A'B'(D'E') is up, so there must be a rotation of 90° CCW. Rotation of 90° CCW about the origin will leave the figure in a position that is 2 units left of where it is shown. The rotation must be followed by a translation 2 units to the right.

Thus, we conclude that a sequence of transformations that maps △DEF to △D′E′F′ is a rotation of 90° counterclockwise about the origin followed by a translation two units right.

Read more about Sequence of Transformations at; brainly.com/question/4289712

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6 0
2 years ago
Read 2 more answers
2p^2+2p-4 solve using the AC method or the sum product method .. PLEASE HELP thank you :)))​
Leviafan [203]

Answer: 2(p+2) * (p-1)

Step-by-step explanation:

2p^2 + 2p - 4

2 (p^2 + p - 2)

2 (p^2 + 2p - p - 2)

2(p x (p+2) - (p+2)

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3 0
3 years ago
Estimate a 15% tip on a dinner bill of $32.43 by first rounding the bill amount to the nearest ten dollars.
melisa1 [442]

Answer:

Estimate Tip =  $4.50

Step-by-step explanation:

The bill to the nearest $10  is $30.00 :  ( $ 30 ($32.43) $40, it is nearer to $30

Estimate Tip = Bill rounded to the nearest $10  ×  Tip %

Estimate Tip = $30 × 15%

Estimate Tip = $30 × .15                  (15% change to a decimal is .15)

Estimate Tip = $4.50

8 0
3 years ago
Find the surface area of the prism.
Aleksandr [31]

Answer:

252m^2

Step-by-step explanation:

The formula for surface area of a rectangular prism is 2(hl)+2(hw)+2(wl).

we just plug in the values.

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= 2(72) + 2(36) + 2(18) then simplify

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= 252

7 0
2 years ago
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