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fredd [130]
3 years ago
11

What is the slope of the line (2,3) (1,-2)? a- -5 b- -1/5 c- 5 d- 1/5

Mathematics
2 answers:
Leya [2.2K]3 years ago
6 0

Answer:

c is the answer. (Assuming that's a positive 5)

Step-by-step explanation:

You would use the slope formula: (y1 - y2)/(x1-x2).

Plugging in gives

(3--2)/(2-1)

(3+2)/(2-1)

which simplifies to:

5/1

= 5

Hope this helps!

Bezzdna [24]3 years ago
5 0

Answer:

The correct option is C.  5

Step-by-step explanation:

<u>Points to remember</u>

slope of the line  passing through the point (x₁, y₁) and (x₂, y₂) is given by

Slope m = (y₂ - y₁)/(x₂ - x₁)

<u>To find the slope of the given line</u>

Here (x₁, y₁) = (2, 3)  and (x₂, y₂) = (1, -2)

Slope m = (y₂ - y₁)/(x₂ - x₁)

 = (-2 - 3)/(1 - 2)

 = (-5)/(-1)

 = 5

Therefore the slope of given line is 5

The correct option is C.  5

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Need help with this please
aleksandrvk [35]

Answer: 9 cm

Step-by-step explanation:

By multiplying 5 by 3, you get 15. this would also apply to finding the other side of the rectangle, where you multiply 3 by 3 to get 9.

7 0
3 years ago
A man hits a baseball when it is 4 ft above the ground with an initial velocity of 120 ft/sec. The ball leaves the bat at a 30 d
Sauron [17]
<span>et us assume that the origin is the floor right below the 30 ft. fence

To work this one out, we'll start with acceleration and integrate our way up to position.

At the time that the player hits the ball, the only force in action is gravity where: a = g (vector)
ax = 0
ay = -g (let's assume that g = 32.8 ft/s^2. If you use a different value for gravity, change the numbers.

To get the velocity of the ball, we integrate the acceleration
vx = v0x = v0cos30 = 103.92
vy = -gt + v0y = -32.8t + v0sin40 = -32.8t + 60

To get the positioning, we integrate the speed.
x = v0cos30t + x0 = 103.92t - 350
y = 1/2*(-32.8)t² + v0sin30t + y0 = -16.4t² + 60t + 4

If the ball clears the fence, it means x = 0, y > 30

x = 0 -> 103.92 t - 350 = 0 -> t = 3.36 seconds

for t = 3.36s,
y = -16.4(3.36)^2 + 60*(3.36) + 4
= 20.45 ft

which is less than 30ft, so it means that the ball will NOT clear the fence.


Just for fun, let's check what the speed should have been :)

x = v0cos30t + x0 = v0cos30t - 350
y = 1/2*(-32.8)t² + v0sin30t + y0 = -16.4t² + v0sin30t + 4

x = 0 -> v0t = 350/cos30
y = 30 ->
-16.4t^2 + v0t(sin30) + 4 = 30
-16.4t^2 + 350sin30/cos30 = 26
t^2 = (26 - 350tan30)/-16.4
t = 3.2s

v0t = 350/cos30 -> v0 = 350/tcos30 = 123.34 ft/s

So he needed to hit the ball at at least 123.34 ft/s to clear the fence.

You're welcome, Thanks please :)
</span>
6 0
3 years ago
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elixir [45]

Answer:

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Step-by-step explanation:

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Answer:

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