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stepladder [879]

2 years ago

7

Write in slope-intercept form the equation of the line passing through the given point and perpendicular to the given line.

1 answer:

Ksivusya [100]2 years ago

4 0

Answer:

y = x + 1

Step-by-step explanation:

First you find the slope of the first line using the rise over run method. Here you can see that the line goes up 1 and to the right one in order to reach the next point making the slope 1x or just x. Then you need to make it so that the line intercepts the point by changing the y intercept to 1 making the equation y = x + 1.

I hope this helped!!

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Bob had three carries of 8 yards each and 5 carries of 6 yards each in a recent football game. what was rushing average(average

Sedaia [141]

3 carries of 8 yds.....3 * 8 = 24 yds
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so we have a total of 8 carries for 54 yds..

54/8 = 6.75 <== average yds per carry

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3 years ago

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Find the value of k such that x-2 is a factor of 3x³-kx²+5x+k

Nuetrik [128]

Answer:

$\displaystyle k = \frac{34}{3}$

Step-by-step explanation:

We are given the polynomial:

$\displaystyle P(x) = 3x^3 - kx^2 + 5x + k$

And we want to determine the value of <em>k</em> such that (<em>x</em> - 2) is a factor of the polynomial.

Recall that the Factor Theorem states that a binomial (<em>x</em> - <em>a</em>) is a factor of a polynomial P(x) if and only if P(a) = 0.

Our binomial factor is (<em>x</em> - 2). Thus, <em>a</em> = 2.

Hence, by the Factor Theorem, P(2) must equal zero.

Find P(2):

$\displaystyle \begin{aligned} P(2) &= 3(2)^3 - k(2)^2 + 5(2) + k \\ \\ &= 3(8) - 4k + 10 + k \\ \\ &= 34 - 3k \end{aligned}$

This must equal zero. Hence:

$\displaystyle \begin{aligned} 34 - 3k &= 0 \\ \\ -3k &= -34 \\ \\ k = \frac{34}{3} \end{aligned}$

In conclusion, <em>k</em> = 34/3.

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Marysya12 [62]

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Alecsey [184]

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Now solve for X

4x=191

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Step-by-step explanation:

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Alekssandra [29.7K]

Answer:

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Step-by-step explanation:

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