Answer:
Step-by-step explanation:
You are given the relation 
This means that
The input values of this relation are 
, so the domain of this relation is 
The output values of this relation are 
, so the range of this relation is
Answer:
Step-by-step explanation:
The slope of a line perpendicular to another line is the opposite reciprocal of the slope of the other line, meaning if the slope of the other line is 
, then the slope of the line perpendicular is 
.
Knowing this, we can start to construct the equation for the line:
To solve for 
, we plug in the coordinates of the point that we know the line runs through, 
:
Therefore, the slope of the line that is perpendicular ot the line provided in the equation is the following:
Answer:
$421.30
Yearly Componded Interest
$250 * 19% = $47.50 = $297.50 <-- Year One Balance
$297.50 * 19% = $56.53 = $354.03 <-- Year Two Balance
$354.03 * 19% = $67.27 = $421.30 <-- Year Three Balance
Answer:
We can use the Pythagorean theorem and properties of sines, cosines, and tangents to solve the triangle, that is, to find unknown parts in terms of known parts.
Step-by-step explanation:
Pythagorean theorem: a2 + b2 = c2.
Sines: sin A = a/c, sin B = b/c.
Cosines: cos A = b/c, cos B = a/c.
Tangents: tan A = a/b, tan B = b/a.
Answer:
There are 101 marbles in each bag and 10 marbles left over
Step-by-step explanation:
We can use the modulus to find out left over. The modulus is the remainder of the division from one number by another number. For example, 7 % 2 = 1. When you divide 7 by 2, division is 3 but the remainder is 1.
1525 % 15 = 10 marbles are left over
Now, we know that 1525 - 10 = 1515 marbles are equally put into each bag. That means each bag contains
1515 / 15 = 101 marbles
