14. Given the function f(x) = 3x -9, what is the value of f(6)?

Hallie can use the equation p = 4l + 4w + 4h to determine the sum of the lengths of the edges of a rectangular prism. She begins

Zanzabum

The expression Hallie wrote is not clear, because if 0 is the only number that satisfies p = 4l + 4w + 4h = l + w + h.

But if you meant to write:

p = 4l + 4w + 4h

p/4 = l + w + h

then she could get something different.

Answer:

The expression (w + h) + p/4 should follow the subtraction if Hallie's equation is

p = 4l + 4w + 4h

p/4 = l + w + h

h = -

Step-by-step explanation:

Let us solve Hallie's problem.

She can use the equation:

p = 4l + 4w + 4h

to determine the sum of the lengths of the edges of a rectangular prism. Because she begin to solve the equation for h, let us solve for h.

This means we are trying to make h the subject of the formula.

p = 4l + 4w + 4h

When you factor out 4 on the right hand side, you have

p = 4(l + w + h)

Dividing both side by 4, we have

p/4 = l + w + h

Now, subtracting (l + w) from both sides, we have

p/4 - (l + w) = h.

This can be written as:

h = - (l + w) + p/4

And that is what Hallie wanted to obtain.

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The equation line l is given by the equation y= 7/4x+3. line m goes through the point ( –1,4) and is perpendicular to line l whi

mr_godi [17]

We determine line m as follows:

*First, by theorem we have the following:

$m_1=-\frac{1}{m_2}$

Here m1 & m2 are the slopes of two perpendicular lines. For all lines that are perpendicular that is true, so we calculate the slope of line m using the slope of the function given [Which has a slope of 7/4]:

$m_1=-\frac{1}{\frac{7}{4}}\Rightarrow m_1=-\frac{4}{7}$

So, the slope of line m is -4/7. Now, using this slope and the point (-1, 4) we replace in the following expression:

$y-y_1=m_1(x-x_1)$

Here x1, y1 & m1 are the x-component of the point, the y-component of the point, and the slope of the line respectively, so we replace and solve for y: