6 7/12 I hope this helps ya out
<h3><u>Question</u><u>:</u></h3>
Emily is 4 times as old as Tiffany. In ten years time, Emily will be twice as old as Tiffany. Find their ages.
<h3><u>Solution</u><u>:</u></h3>
- Let the age of Tiffany be x years.
- Then, the age of Emily = 4x years.
- After 10 years, the age of Tiffany will be (x+10) years.
- After 10 years, the age of Emily will be (4x+10) years.
- Therefore, by the problem

- So, Tiffany's present age = 5 years.
- Emily's present age = (4×5) years = 20 years.
<h3><u>Answer:</u></h3>
Emily's age is 20 years and Tiffany's age is 5 years.
Hope it helps!
The rope tied to the tree will make a triangle.
The height of the triangle = 180cm
The base of the triangle = 200cm
to find how much rope you need, work out the hypotenuse using Pythagoras:
180^2 + 200^2 = 72400
√72400 = 269.0724809
This is the length of rope he needs, however you need to +30 as this is what he will need when he ties the rope:
269.0724809 + 30 = 299.0724809
299.0724809 is less than the 270cm of rope he has, so he would need more.
Line equation:
(y - yo) = m.(x - xo)
Where (xo, yo) is a point of this line and m his angular coeficient.
To a line be parallel to other their angular coeficient needs to be equal, in a line equation (y = ax + b) the angular coeficient is "a".
So, in y = 5x + 1, a = 5. So,
(y - yo) = 5.(x - xo)
Now, just put the point coordinates in xo and yo.
(y - 8) = 5.(x - 5)
y - 8 = 5x - 25
y = 5x - 25 + 8
y = 5x - 17