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3 years ago

14

Use the expression 5x 23 to match the following vocabulary words. 1.2coefficient 2.3variable 3.5exponent 4.xbase

1 answer:

Sonja [21]3 years ago

6 0

From the expression 5x^23, we identify the terms as follows:

5 = <span>coefficient
</span>x = <span>variable
</span>23 = exponent
x = base

The coefficient is the constant in the term, the variable is any letter in a term, the exponent is the the number of times a number is being multiplied by itself in a power and the base is <span>the number being multiplied in a power.</span>

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write an equation for the line that passes through the given point and has the given slope m (4,-5);m= -1/4

EastWind [94]

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Answer: $\textsf{y = -1/4x - 4}$

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Given: $\textsf{Slope = -1/4, Point through = (4, -5)}$

Find: $\textsf{Equation for the line that passes through the given point}$

Solution: In order to get the equation, we need to first use the point-slope form to help us sort out our information and then we solve for y.

<u>Plug in the values</u>

$\textsf{y - y}_1\textsf{ = m(x - x}_1\textsf{)}$

$\textsf{y - (-5) = -1/4(x - 4)}$

<u>Simplify and solve for y</u>

$\textsf{y + 5 = -1/4(x - 4)}$

$\textsf{y + 5 = -1/4x + 1}$

$\textsf{y + 5 - 5 = -1/4x + 1 - 5}$

$\textsf{y = -1/4x - 4}$

Therefore, the final answer would be that the equation that has a slope of -1/4 and passes through (4, -5) is y = -1/4x - 4.

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