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gladu [14]
3 years ago
12

What is the slope of a line perpendicular to the line y = −14x – 1?

Mathematics
1 answer:
mash [69]3 years ago
5 0

Answer:

<h2>         m = ¹/₁₄</h2>

Step-by-step explanation:

y=m₁x+b₁   ⊥   y=m₂x+b₂   ⇔    m₁×m₂ = -1

{Two lines are perpendicular if the product of theirs slopes is equal -1}

y = -14x - 1   ⇒   m₁ = -14

-14×m₂ = -1        ⇒    m₂ = ¹/₁₄

So, the slope of a line perpendicular to the line y = -14x - 1 is m = ¹/₁₄

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If the perimeter of this quadrilateral (2ft 13ft 15in this is the quadrilateral) is 79 inches, what is the measure of the missin
kumpel [21]

Answer:

The missing side length is 27 in

Step-by-step explanation:

see the attached figure

we know that

1 ft= 12 in

step 1

Convert ft to in

2 ft=2*12=24 in

Note ----> the given measure is 13 in instead of 13 ft

step 2

Find the missing side length

The perimeter of a quadrilateral is the sum of its four side lengths

Let

x------> the missing side length

P=x+24+13+15

P=79 in

so

79=x+24+13+15

x=79-52=27 in

The missing side length is 27 in

7 0
3 years ago
Two metal disks, one with radius r = 2. 50 cm and the other with radius r = 5. 00 cm are welded together and
vova2212 [387]

The total moment of inertia of the two disks will be I = 2.375 × 10-³ Kgm² welded together to form one unit.

<h3>What is moment of inertia?</h3>

Moment of inertia is the quantity expressing a body's tendency to resist angular acceleration, which is the sum of the products of the mass of each particle in the body with the square of its distance from the axis of rotation.

Using the formulas to calculate the moment of inertia of a solid cylinder:

I = ½MR²

Where;

I = moment (kgm²)

M = mass of object (Kg)

R = radius of object (m)

Total moment of inertia of the two disks is expressed as: I = I(1) + I(2)

That is;

I = ½M1R1 + ½M2R2

According to the provided information;

R1 = 2.50cm = 0.025m

M1 = 0.800kg

R2 = 5.00cm = 0.05m

M2 = 1.70kg

I = (½ × 0.800 × 0.025²) + (½ × 0.05² × 1.70)

I = (½ × 0.0005) + (½ × 0.00425)

I = (0.00025) + (0.002125)

I = 0.002375

I = 2.375 × 10-³ Kgm²

Hence The total moment of inertia of the two disks will be I = 2.375 × 10-³ Kgm² welded together to form one unit.

To know more about moment of inertia follow

brainly.com/question/14460640

#SPJ4

4 0
2 years ago
The line m has a slope of 4. What is the slope of a line perpendicular to line m?
g100num [7]

Answer:

-1/4

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
A pilot is traveling at a height of 30,000 feet above level ground. She looks down at
vladimir2022 [97]

Answer:

540.6 mi

Step-by-step explanation:

The angle of depression = angle of elevation = 6°

Let x = the distance to the runway.

tan 6 = 30000/x

xtan 6 = 30000

x = 30000/tan 6 =285430.9 ft

285430.9336.../5280 = 540.6 mi

3 0
2 years ago
Use the law of cosines to find the value of 2*3*4 cos theta.
daser333 [38]
The law of cosines :

A^2 = B^2 + C^2 - 2BC cos A

2^2 = 3^2 + 4^2 -  2 . 3. 4 cos theta

= 21

hope this helps
3 0
3 years ago
Read 2 more answers
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