Triangles ABD and BCD are similar, because they are both right and share a common angle, and thus all three angles are equal.
This means that we can set the proportion
Plug the numbers and we have
Solve for 
:
Answer:
y = -5x + 7
Step-by-step explanation:
The sum of the arithmetic sequence given by
<span>an = 0.05(n – 1) – 0.6
will be given by:
a1=0.05(1-1)-0.6=-0.6
a2=0.05(2-1)-0.6=-0.55
a3=0.05(3-1)-0.6=-0.5
a4=0.05(4-1)-0.6=-0.45
a5=0.05(5-1)-0.6=-0.4
thus the summation will be:
-0.6+(-0.55)+(-0.5)+(-0.45)+(-0.4)
=-2.5
hence
S5=-2.5</span>
When reading the place value of numbers, we start from right to left.
The place values from right to left are arranged as follows:
units, tens, hundreds, thousands, ten thousands and hundred thousands.
Applying this to the given number (<span>654 321) we will find that:
1 represents the units
2 represents the tens
3 represents the hundreds
4 represents the thousands
5 represents the ten thousands
6 represents the hundred thousands</span>
In mathematics, a polynomial is an algebraic expression containing more than two terms. When the polynomial could not be reduced to a lower degree, it is classified as a prime polynomial. Just like whole numbers, a prime polynomial cannot be broken down into factors except 1 and by the number itself. Take for example, the polynomial x² + 5x + 6. It can be reduces to its factors x=-2 and -3. That would be expressed to x² + 5x + 6 = (x+2)(x+3). But if the polynomial is, say, x² + 5x + 7, there is no roots that are whole numbers. Therefore, it can't be reduced into factored groups because it is a prime polynomial.
