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sergey [27]
3 years ago
9

The distance a spring will stretch varies directly with how much weight is attached to the spring. If a spring stretches 5 inche

s with 50 pounds attached, how far will it stretch with 170 pounds attached?
Mathematics
1 answer:
Step2247 [10]3 years ago
5 0
There is a few ways to do this but I am going to use the variation equation.

Variation Equation:
y = kx
First we need to find k, which is the constant of variation
5 = k50
5/50 = k
1/10 = k
k= 1/10

Now that we have found the constant of variation, we can find how much the spring will stretch with 170 pounds.
y = kx
y = (1/10) times 170 = 17 inches

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The similar circles P and Q can be made equal by dilation and translation

  • The horizontal distance between the center of circles P and Q is 11.70 units
  • The scale factor of dilation from circle P to Q is 2.5

<h3>The horizontal distance between their centers?</h3>

From the figure, we have the centers to be:

P = (-5,4)

Q = (6,8)

The distance is then calculated using:

d = √(x2 - x1)^2 + (y2 - y1)^2

So, we have:

d = √(6 + 5)^2 + (8 - 4)^2

Evaluate the sum

d = √137

Evaluate the root

d = 11.70

Hence, the horizontal distance between the center of circles P and Q is 11.70 units

<h3>The scale factor of dilation from circle P to Q</h3>

We have their radius to be:

P = 2

Q = 5

Divide the radius of Q by P to determine the scale factor (k)

k = Q/P

k = 5/2

k = 2.5

Hence, the scale factor of dilation from circle P to Q is 2.5

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brainly.com/question/3457976

8 0
2 years ago
Help asap pls and thx
vazorg [7]

Step-by-step explanation:

from what I can see there are 2 options to make the 2 triangles congruent :

either the opposite sides must be equal or the neighboring sides must be equal.

so, either

5x = 3x + 10

and

5x - 2 = 4x + 3

or

5x = 4x + 3

and

5x - 2 = 3x + 10

for the first

5x = 3x + 10

2x = 10

x = 5

control

5x - 2 = 4w + 3

5×5 - 2 = 4×5 + 3

23 = 23

correct.

for the second

5x = 4x + 3

x = 3

control

5×3 - 2 = 3×3 + 10

15 - 2 = 9 + 10

13 = 19

no, not a valid solution.

so, x = 5

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1750 = 50x....x = cost of each book
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An animal shelter is putting together treat bags for each of the 48 dogs and 38 cats at the shelter. The material for each treat
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