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Darina [25.2K]
2 years ago
6

Usesolve the given system of two equations in two unknowns. Check your answers.

Mathematics
1 answer:
Maksim231197 [3]2 years ago
6 0

Answer:

(1,4)

x= 1

y= 4

(I checked on desmos and this is correct)

Step-by-step explanation:

I'm going to solve this by substitution

To do this we need to get a variable by istelf in any equation

We'll start with 18x-2y=10

We can add 2y and divide by 2 to get

y=9x-5

This is what y will equal for now and we can plug this in for y in the second equation

3x+16(9x-5)=67

This is rather easy to solve

147x-80=67

147x=147

this means that x=1

We can then use this value for x and plug it into any equation

let's just do the first one

18*1-2y=10

This is easy to solve as well and you should get

-2y=-8

y=4

this means that x=1

y=4

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A 60 - kilogram person stands on a compression spring . The spring constant is 2500 Newtons per meter .
insens350 [35]
<h2>Answer:0.2352m</h2>

Step-by-step explanation:

Let the mass of the person be m.

Let the spring constant be k.

Let the displacement in spring be x

Let the acceleration due to gravity be g

As it is given that the person just stands,the forces are balanced.

So,mg=kx

Given,

m=60Kg\\k=2500Nm^{-1}\\g=9.8ms^{-2}

60\times 9.8=2500\times x\\x=\frac{588}{2500}=0.2352m

6 0
2 years ago
What is the greatest common factor of 8m, 36m", and 12?
wlad13 [49]

Answer: 4

Step-by-step explanation:

8m = 2*2*2*m

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Hope this helps!!

4 0
3 years ago
A skydiver is falling 176 feet per second. How many feet per minute is he falling
Vlada [557]
The correct answer here is that if the skydiver is falling 176 feet per second, he is falling 10560 feet per minute. This can be worked out quite easily, by considering that if there are 60 seconds in a minute, we then need to work out the proportion of 176 feet/1 sec = x/60 sec. You then need to multiply 60 by 176 to get 10560, which is your answer.
3 0
3 years ago
The value of x is ____ degrees, and the value of y is___degrees
solmaris [256]

Answer:

x = 112°, y = 68°

Step-by-step explanation:

68° and y are corresponding angles and are congruent, then

y = 68°

x and y are adjacent angles and are corresponding ( sum to 180° ), then

x + y = 180°

x + 68° = 180° ( subtract 68° from both sides )

x = 112°

8 0
2 years ago
Read 2 more answers
How many pairs can be made from 8 different objects?
NeTakaya
The correct answer is 31. I did it incorrectly the first time, but the answer is 31. :-) Thanks Olivia!
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