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2 years ago

Find an equation for the line below

Mathematics

1 answer:

yanalaym [24]2 years ago

4 0

Answer:

y = 1/2x +7/2

Step-by-step explanation:

The two marked points are 2 units apart vertically, and 4 units apart horizontally. The slope of it is ...

m = rise/run = 2/4 = 1/2

The value of the y-intercept can be found from

b = y -mx . . . . . . where (x, y) is a point on the line

Using the point (-1, 3), we find the y-intercept to be ...

b = 3 -(1/2)(-1) = 3 1/2 = 7/2

Then the slope-intercept equation is ...

y = mx +b

y = 1/2x +7/2

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A circular pool is surrounded by a circular walkway. The radius of the pool is y − 4 and the radius of the full circle formed by

TiliK225 [7]

A=πr²

pool=π(y-4)²=π(y²-8y+16)
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walkway=total-pool
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2 years ago

If 2x + 5 = 8x, then 12x = ?A.5B.10C.15D.20

butalik [34]

<h2>Answer:</h2> $10.\text{ Option B is correct}$

<h2>Explanation:</h2>

Given the equation expressed as:

$2x+5=8x$

First, we need to calculate the value of "x" from the given expression.

Step 1: Given the equation 2x + 5 = 8x

Step 2: Subtract 5 from both sides:

$\begin{gathered} 2x+5-5=8x-5 \\ 2x+\cancel{5}-\cancel{5}=8x-5 \\ 2x=8x-5 \end{gathered}$

Step 3: Subtract 8x from both sides

$\begin{gathered} 2x-8x=8x-8x-5 \\ -6x=\cancel{8x}-\cancel{8x}-5 \\ -6x=-5 \end{gathered}$

Step 4: Divide both sides by -6

$\begin{gathered} \frac{-6x}{-6}=\frac{-5}{-6} \\ x=\frac{5}{6} \end{gathered}$

Step 5: Get the value of 12x. Substitute x = 5/6 into the expression to have:

$\begin{gathered} 12x=12(\frac{5}{6}) \\ 12x=\cancel{12}^2(\frac{5}{\cancel{6}^1}) \\ 12x=2\times5 \\ 12x=10 \end{gathered}$

Therefore the value of 12x is 10

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ycow [4]

Answer:

Step-by-step explanation:

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4 + 4 + 4 wheels, which is 12 wheels

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Firts1/2,
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