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2 years ago

I don't understand how to put anything into standard form. If anyone could help please that'd be great.

Mathematics

2 answers:

Norma-Jean [14]2 years ago

3 0

I think you would distribute what is in the parentheses and then make it so only a and b are on the left and i and the other characters that can be simplified are on the left but feel free to Google it.

prisoha [69]2 years ago

3 0

Well, the formula for standard form is:

ax+by=c.

x and y are coordinates of an ordered pair.

I hope that helps.

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Answer:

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Step-by-step explanation:

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3 years ago

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Write a vector equation of the line that passes through point P(-4,11) and is parallel to a=[-3,8]. Then write parametric equati

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Answer:

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Step-by-step explanation:

The vector equation of the line is:

$\vec l = \vec P + t \cdot \vec A$

$\vec l = (-4, 11) + t\cdot (-3,8)$

The parametric equations of the line are:

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2 years ago

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3 years ago

The graph of y=f(x) is the solid black graph below. Which function represents the dotted graph?

Fed [463]

Answer: y = f(x - 4) - 1, lower left corner

=============================================================

Explanation:

Let's focus on only the left-most points of each curve

For the black semicircle, the left-most point is located at (-7,0). The corresponding point on the red semicircle is at (-3,-1)

To go from (-7,0) to (-3,-1), we will do two things

Shift 4 units to the right
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This can be done in any order. The action of "shift 4 units to the right" is effectively the same as shifting the xy axis 4 units to the left while keeping the curves fixed in place. This gives the illusion of movement. When we shift 4 the xy axis 4 units to the left, we're replacing each x input with x-4 as the new input.

In short, we go from f(x) to f(x-4). This is why we have this opposite motion going on.

The up and down motion is fairly straight forward. To shift 1 unit down, we subtract off 1. This is to subtract 1 from the y coordinate.

Overall, we go from y = f(x) to y = f(x - 4) - 1

Applying this transformation will move (-7,0) to (-3,-1) as described above. It will also move every other point on the black curve to their new corresponding location on the red curve.

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2 years ago

You rise 15 feet for every 1000 feet you drive forward, what is the slope?

liberstina [14]

The slope is: $\frac{3}{200}$ .
________________________________________________________
Note:
________________________________________________________
slope = rise/ run = 15 ft/ 1000 ft ;

= 15/1000 = (15÷15) / (1000÷15) ;

= 1/ (200/3) = 1* (3/200) = [tex] \frac{3}{200} [/tex] .
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