Answer:
8 pens
Explanation:
a) £6.25+£8.75=£15.00
£15.00/50=30p
each pen costs 30p
b) £2.40/0.3=8
therefore 8 pens can be bought
The extension of this spring from its original length is equal to 1.2 meter.
<u>Given the following data:</u>
To calculate the extension of this spring from its original length:
<h3>How to solve for extension.</h3>
Mathematically, the force acting on a spring is given by the formula:
![F=ke](https://tex.z-dn.net/?f=F%3Dke)
<u>Where:</u>
- K is the spring constant.
Making e the subject of formula, we have:
![e=\frac{F}{k}](https://tex.z-dn.net/?f=e%3D%5Cfrac%7BF%7D%7Bk%7D%20)
Substituting the given parameters into the formula, we have;
![e=\frac{12}{10}](https://tex.z-dn.net/?f=e%3D%5Cfrac%7B12%7D%7B10%7D%20)
Extension, e = 1.2 meter.
Read more on spring constant here: brainly.com/question/14372859
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The center of the circle is the point (-2, 3) and the radius is 3 units.
<h3>
How to identify the center and radius?</h3>
Here we have the equation:
![x^2 + 4x + y^2 -6y = -4](https://tex.z-dn.net/?f=x%5E2%20%2B%204x%20%2B%20y%5E2%20-6y%20%3D%20-4)
We can rewrite it as:
![x^2 + 2*2x + y^2 - 2*3y = -4](https://tex.z-dn.net/?f=x%5E2%20%2B%202%2A2x%20%2B%20y%5E2%20-%202%2A3y%20%3D%20-4)
Now, we can add and subtract 4 and add and subtract 9, so we get:
![x^2 + 2*2x + y^2 - 2*3y +4 - 4 + 9 - 9= -4\\\\(x^2 + 2*2*x + 4) + (y^2 - 2*3*y + 9) - 4 - 9 = -4\\\\(x + 2)^2 + (y- 3)^2 = 9 = 3^2](https://tex.z-dn.net/?f=x%5E2%20%2B%202%2A2x%20%2B%20y%5E2%20-%202%2A3y%20%20%2B4%20-%204%20%2B%209%20-%209%3D%20-4%5C%5C%5C%5C%28x%5E2%20%2B%202%2A2%2Ax%20%2B%204%29%20%2B%20%28y%5E2%20-%202%2A3%2Ay%20%2B%209%29%20-%204%20-%209%20%3D%20-4%5C%5C%5C%5C%28x%20%2B%202%29%5E2%20%2B%20%28y-%203%29%5E2%20%3D%209%20%3D%203%5E2)
So the center of the circle is the point (-2, 3) and the radius is 3 units.
If you want to learn more about circles:
brainly.com/question/1559324
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Answer:
Hundreds place, simplified gets 6.63e16
Explanation:
Because I said so.