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Ber [7]
3 years ago
13

The line m has a slope of a/b , where a and b are integers. What is the slope of a line that is perpendicular to line m ?

Mathematics
1 answer:
Aleks04 [339]3 years ago
6 0

Answer:

The slope of the perpendicular line is -b/a

Step-by-step explanation:

Perpendicular lines have slopes that multiply together to equal -1

Let the slope of the perpendicular line be p

a/b * p = -1

Multiply each side by b/a so we can isolate p

a/b * b/a * p = -1 * b/a

p = -b/a

The slope of the perpendicular line is -b/a

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Which explanation uses the number line to show 5 + (-5) =0
Ray Of Light [21]

Answer:

+5 is right and - 5 is left

Step-by-step explanation:

I. If 5 + (-5) = 0

  then 5 - 5 = 0

  If 5 is on the right side

   then -5 is on the left side

3 0
2 years ago
A ball is thrown straight out at 80 feet per second from an upstairs window that's 15 feet off the ground. Find the ball's horiz
Alex73 [517]

Answer:

Step-by-step explanation:

In order to find the horizontal distance the ball travels, we need to know first how long it took to hit the ground. We will find that time in the y-dimension, and then use that time in the x-dimension, which is the dimension in question when we talk about horizontal distance. Here's what we know in the y-dimension:

a = -32 ft/s/s

v₀ = 0 (since the ball is being thrown straight out the window, the angle is 0 degrees, which translates to no upwards velocity at all)

Δx = -15 feet (negative because the ball lands 15 feet below the point from which it drops)

t = ?? sec.

The equation we will use is the one for displacement:

Δx = v_0t+\frac{1}{2}at^2 and filling in:

-15=(0)t+\frac{1}{2}(-32)t^2 which simplifies down to

-15=-16t^2 so

t=\sqrt{\frac{-15}{-16} } so

t = .968 sec (That is not the correct number of sig fig's but if I use the correct number, the answer doesn't come out to be one of the choices given. So I deviate from the rules a bit here out of necessity.)

Now we use that time in the x-dimension. Here's what we know in that dimension specifically:

a = 0 (acceleration in this dimension is always 0)

v₀ = 80 ft/sec

t = .968 sec

Δx = ?? feet

We use the equation for displacement again, and filling in what we know in this dimension:

Δx = (80)(.968) +(0)(.968)^2 and of course the portion of that after the plus sign goes to 0, leaving us with simply:

Δx = (80)(.968)

Δx = 77.46 feet

5 0
3 years ago
I would like some assistance pls​
nasty-shy [4]

Answer:

where the x axis are you put Your numbers

7 0
3 years ago
Find the volume of a sphere whose radius is 13 feet. Round your answer to two decimal places. (use = 3.14)
Helen [10]

Answer:

9,202.77

Step-by-step explanation:

This is off of g/o/o/g//l/e/// btw hope this helped

4 0
3 years ago
What is equivalent to 6 + 3 x 9 - 4
STALIN [3.7K]

Answer:

29

Step-by-step explanation:

6 + 3 x 9 - 4

6 + 27 - 4

33 - 4

=29

3 0
3 years ago
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