The height of a tree is 10
10
meters long and it grows 1
1
cm in a year.
Then its height after one year = 10
10
meters 1
1
cm
Its height after 3
3
years = 10
10
meters 3
3
cm
Its height after 6
6
years = 10
10
meters 6
6
cm
Its height after x
x
years = 10
10
meters x
x
cm
Where x
x
represents an unknown number. From the last line, we can find height of the tree after a certain number of years by taking x
x
equal to that number. For example, we simply let x=15
x
=
15
, 25
25
and 55
55
. Thus, the value of x
x
depends on our choice. We can give x
x
any value or number we want. In other words, the value of x
x
is not fixed, it varies from one situation to the other. Therefore, we call x
x
a variable whereas 10
10
is a fixed number whole value does not change. So 10
10
therefore is called a constant.
Read more: http://www.emathzone.com/tutorials/basic-algebra/algebraic-expression.html#ixzz4fDkFcbpZ
H = 2sqrt2
D = 6sqrt3
In a 45,45,90 triangle the hypotenuse is (x)sqrt2 while the side lengths are equivalent being a single value x. Therefore, when given the hypotenuse and solving for the leg, divide 4 by sqrt2 to get 4sqrt2/2 which simplifies to 2sqrt2 when the denominator and numerator cancel.
In a 30,60,90 triangle the short leg x is across from the 30 degree angle meaning the angle across from the 60 degree angle is x times the sqrt of 3. Therefore the long leg is 6sqrt3
Answer:
Step-by-step explanation:
The open circle means that the point is not included in the solution set, and the arrow pointing left means that all numbers less than -2 are members.
In set-builder notation, each term has a special meaning. The braces enclose the members of the set.
Here's how you translate the notation,
Hi there!
Your question:
8.5 + 49(1-2.5k)=24.5
My answer:
8.5 + 4(1-2.5k) = 24.5 >>>>>>> first, you have to distribute
8.5 + 4 - 10k = 24.5 >>>>>>>> now, we are going to combine like terms.
12.5 - 10k = 24.5 >>>>>> now, we are going to subtract 12.5 on both sides
-10k = 12 >>>>>>>>> finally, divide -10 on both sides
k = -1.2
Hope this helps you!
