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alisha [4.7K]
2 years ago
10

Line L has an undefined slope. Line M is perpendicular to line L. Which of the following could be the equation of line M?

Mathematics
1 answer:
Marat540 [252]2 years ago
6 0
"Line L has an undefined slope" so line L is any vertical line. 

Anything perpendicular to this vertical line will be horizontal. So line M is horizontal. 

Horizontal lines are of the form y = k for some fixed number k. The only thing that fits is choice B) y = 7 where k = 7 in this case.

Choice A graphs out a diagonal line, choice C graphs a vertical line, while choice D graphs out a hyperbola. These facts are why we can eliminate these non-answers. 

Answer: Choice B) y = 7
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Step-by-step explanation:

<em>[using calculus] </em>When the function h(t) reaches its maximum value, its first derivative will be equal to zero (the first derivative represents velocity of the ball, which is instantaneously zero). We have h'(t) = -32t + 48, which equals zero when t = 3/2 = 1.5. The ball therefore reaches its maximum height when t = 1.5. To find the maximum height, we need to find h(1.5), which is 64 feet.

<em>[without calculus] </em>This is a quadratic function, so its maximum value will occur at its vertex. The formula for the x-coordinate of the vertex is -b/2a, so the maximum value occurs when t = -48/(2*16), which is 1.5. The maximum height is h(1.5), which is 64 feet.

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Mr.Willams' physical education class lasts 7/8 hours. How many minutes are spent warming up and cooling down?
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Consider the line through (-1, -4) and (1, 2).<br>  What is the slope (m) of the line?<br>​
zloy xaker [14]

Answer:

<u><em>3</em></u>

Explanation:

  • \bold{\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}}

\bold{\left(x_1,\:y_1\right)=\left(-1,\:-4\right),\:\left(x_2,\:y_2\right)=\left(1,\:2\right)}

\bold{m=\frac{2-\left(-4\right)}{1-\left(-1\right)}}

  • Refine

<u><em>m = 3</em></u>

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