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3 years ago

Find the distance between C=(7,-4) and D=(-8,-5)

Mathematics

1 answer:

Anna35 [415]3 years ago

4 0

Answer:

\/226 is te exact form

Step-by-step

/(x2-x1)^2 +(y2-y1)^2

/((-8)-7)^2 + ((-5)-(-4))^2

/226

Decimal form is 15.03329637

So 15.03

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Y=-2/3x+2 how to graph

Nikolay [14]

Step-by-step explanation:

Starting from y-intercept of [0, 2], you can either move two blocks north over 3 blocks west or two blocks south over three blocks east. Either way, you will still get this line because this is a negative rate of change [slope].

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6 0

3 years ago

A ½in diameter rod of 5in length is being considered as part of a mechanical linkagein which it can experience a tensile loading

Evgesh-ka [11]

Answer:

a. Maximum Load = Force = 27085.09 N

b. Maximum Energy = 3.440 Joules

Step-by-step explanation:

Given

Rod diameter = ½in = 0.5in

Length = 5in

Young's modulus = 15.5Msi

By applying the 0.2% offset rule,

The maximum load the rod can hold before it gets to breaking point is given as follows by taking the strain as 0.2%

Young Modulus = Stress/Strain ------- Make Stress the Subject of Formula

Stress = Strain * Young Modulus

Stress = 0.2% * 15.5

Stress = 0.002 * 15.5

Stress = 0.031Msi

Calculating the area of the rod

Area = πr² or πd²/4

Area, A = 22/7 * 0.5^4 / 4

A = 22/7 * 0.25 / 4

A = 5.5/28

A = 0.1964in²

The maximum load that the rod would take before it starts to permanently elongate is given by

Force = Stress * Atea

Force = 0.031Msi * 0.1964in²

Force = 31Ksi * 0.1964in²

Force = 6.089Ksi in²

Force = 6.089 * 1000lbf

Force = 6089 lbf

1 lbf = 4.4482N

So, Force = 6089 * 4.4482N

Force = 27085.09 N

Using Strain to Energy Formula

U = V×σ²/2·E

Where V = Volume

V = Length * Area

V = 5 in * 0.1964in²

V = 0.982in³

σ = Stress = 0.031Msi

= 0.031 * 1000Ksi

= 31Ksi

= 31 * 1000psi

= 31000psi

E = Young Modulus = 15.5Msi

= 15.5 * 1000Ksi

= 15.5 * 1000 * 1000psi

= 15500000psi

So,

Energy = 0.982 * 31000²/ ( 2 * 15500000)

Energy = 943,702,000/31000000

Energy = 30.442in³psi

------- Converted to ftlbf

Energy = 2.537 ftlbf

-------- Converted to Joules

Energy = 3.440 Joules

7 0

3 years ago

Geometry math question no Guessing and Please show work thank you

4vir4ik [10]

here 8x and (2x+60) are corresponding angles

since line l1 and l2 are parallel, so the two angles will be equal

8x=2x+60

8x-2x=60

6x=60

dividing by 6

x=10

option D. 10 is correct

3 0

2 years ago

WALLAHI HELP ME PLEASE HELP ME WALLAHI

skelet666 [1.2K]

Answer: A

Step-by-step explanation: SORRY IF I GET IT WRONG

4 0

3 years ago

2) Cereal cost $7 / box. How many boxes did Huong buy if she spent $21?

uysha [10]

Answer:3 boxes.
Explanation: $21 / $7=3 boxes

3 0

2 years ago

Read 2 more answers