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3 years ago

What is the slope of y= -4x-3

Mathematics

1 answer:

Oduvanchick [21]3 years ago

3 0

M=-4 hope this helps!!

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6x = 120
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Two vertical poles of lengths 11 ft and 14 ft stand 16 ft apart. A cable reaches from the top of one pole to some point on the g

Alex17521 [72]

We are given

total length of cable is 30 feet

and this cable is on hypotenuse sides of the triangles

so, we can draw triangle as

Let's assume those hypotenuse as 'a' and 'b'

so, we will have

$a+b=30$

now, we can find 'a' and 'b' from triangle

Smaller triangle:

$a=\sqrt{x^2+11^2}$

Larger triangle:

$b=\sqrt{(16-x)^2+14^2}$

we know that

$a+b=30$

so, we can plug this value

and we get

$\sqrt{x^2+11^2}+\sqrt{(16-x)^2+14^2} =30$

now, we can solve for x

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$32x-1231=-60\sqrt{x^2-32x+452}$

$1024x^2-78784x+1515361=3600x^2-115200x+1627200$

now, we can use quadratic formula

we get

$x=\frac{-\sqrt{36416^2-1152389056}+36416}{5152},\:x=\frac{\sqrt{36416^2-1152389056}+36416}{5152}$

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so,

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A circle has a radius of 19m . find the radian measure of the central angle θ that intercepts an arc of length 6m .

Dafna1 [17]

First, find the perimeter of the circle
p = 2 × π × r
p = 2 × 3,14 × 19
p = 119.32
The perimeter of the circle is 119.32 cm

Second, find the central angle
Comparison of the central angle, full rotation angle, the arc, and the perimeter can be written as
angle/(full rotation angle) = arc/perimeter
angle = arc/perimeter × (full rotation angle)

Input the numbers
angle = arc/perimeter × (full rotation angle)
angle = 6/119.32 × 360°
angle = 6(360°)/119.32
angle = 2,160/119.32
angle = 18.1

The central angle would be 18.1°

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3 years ago

What is the slope of y= -4x-3​

What is the slope of y= -4x-3