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Alex73 [517]
1 year ago
6

2y+8×=2 identify the table that would correctly graph this equation

Mathematics
1 answer:
lys-0071 [83]1 year ago
3 0

We have

2y+8x=2

In order to obtain easily the table, we need to clear y

\begin{gathered} 2y=-8x+2 \\ y=\frac{-8x+2}{2} \\ y=-4x+1 \end{gathered}

then we evaluate for values of x

if x=0

y=-4(0)+1=1

y=1

if x=1

y=-4(1)+1=-3

y=3

if x=2

y=-4(2)+1=-7

y=-7

if x=3

y=-4(3)+1=-11

y=-11

So the table for the given equation is

x y

0 1

1 -3

2 -7

3 -11

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Step-by-step explanation:

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The height of a triangle is 8ft greater than the base. The area of the triangle is 136.5 square ft. Find the length of the base
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Answer:

the base is 9/2 ft and the height is 9/2 + 8, or 25/8, ft.

Step-by-step explanation:

Note that the formula for the area of a triangle is A = (1/2)(base)(height).  Let's abbreviate that to A = (1/2)(b)(h).   We are told that h = b + 8.

Then A = 136.5 = (1/2)(b)(b + 8), or

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Thus, the discriminant is b^2 - 4ac, or 64 - 4(1)(-273) = 1156 = 17^2.

The roots are then

      -8 ± √1156            -8 ± 17

x = --------------------  =  ------------ = 9/2 and -25/2

              2                          2

Only the root 9/2 makes sense here, because measurements of length are positive.

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Step 2: Distribute negative

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Step 3: Combine like terms (x²)

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Step 4: Combine like terms (x)

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