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GaryK [48]
4 years ago
9

As the weight held by a spring increases, the length of the spring increases, proportionally. Suppose a 2-lb weight stretches a

spring to 15 in., and a 12-lb weight stretches the same spring to 20 in. What is the length of the spring with NO weight attached?
Mathematics
2 answers:
lisov135 [29]4 years ago
6 0
The length in the spring would be the same amount of motivation I have to finish this school year
suter [353]4 years ago
5 0
The length in the spring would be 45in.
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For graphing, the desmos graphing calculator is a big help :))

8 0
3 years ago
What two whole numbers does 11/4 lie between
stiv31 [10]
2 and 3
Because 11/4 as a mixed number is 2 3/4 its closer to 3 and close to 2.
So it lies between 2 and 3
7 0
3 years ago
Which inequality is equivalent to 5(2x-6)+6(3-x)<2x+4
Shalnov [3]

Answer: x < 8\\

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Interval Notation: (-∞, 8)

7 0
2 years ago
Find the equation (in terms of x ) of the line through the points (-3,5) and (1,-7)
vredina [299]

The equation (in terms of x ) of the line through the points (-3,5) and (1,-7) is y = -4x - 3

The formula for calculating the equation of a line is expressed as;

y = mx + b where

  • m is the slope
  • b is the y-intercept

Given the coordinate points  (-3,5) and (1,-7)

Get the slope

Slope = \frac{-7-5}{1+3}\\Slope =\frac{-12}{4}\\slope  =-3

Get the y-intercept

Recall that y = mx+ b

-7 = -4(1) + b

-7 = -4 + b

b = -7 + 4

b  = -3

Get the required equation:

y = -4x + (-3)

y = -4x - 3

Hence the equation (in terms of x ) of the line through the points (-3,5) and (1,-7) is y = -4x - 3

Learn more here: brainly.com/question/17003809

5 0
3 years ago
The legs of a right triangle are in the ratio of 3 to 1. If the length of the hypotenuse of the triangle is 40√40, then the peri
FinnZ [79.3K]

Answer:

P = 6+2+ \sqrt{40}=14.32

So then the best option on this case is:

A. 14 and 15

Step-by-step explanation:

When we have a right triangle we can use the Pythegorean identity given by:

Hip^2 = Opp^2 +Adj^2  (1)

Where Hip represent the hypothenuse. Opp represent the opposite side and Adj the adjacent side.

On this case we have given the hypothenuse assumed Hip = \sqrt{40} because is the only possible reasonable value because 40\sqrt{40} is a too much higher value

We have a ratio provided on this case, let's assume that the ratio is:

\frac{Opp}{Adj} = 3

Opp = 3 Adj

If we rpelace this condition into equation (1) we got:

(\sqrt{40})^2 = (3Adj)^2 + Adj^2

And then we have this:

40 = 9 Adj^2 + Adj^2 = 10 Adj^2

Adj = \sqrt{\frac{40}{10}}=2

And then the opposite side is:

Opp = 3 Adj =3* 2= 6

The perimeter is defined as the sum of all the sides, we can find the perimeter like this:

P = Opp + Adj + Hip

And replacing the values that we found we got:

P = 6+2+ \sqrt{40}=14.32

So then the best option on this case is:

A. 14 and 15

7 0
3 years ago
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