Answer:
Focus of a Parabola. A parabola is set of all points in a plane which are an equal distance away from a given point and given line. The point is called the focus of the parabola and the line is called the directrix. The focus lies on the axis of symmetry of the parabola.
Step-by-step explanation:
Answer:
Step-by-step explanation:
No of students study math = 3/5 of 50 = 30
No of students study English = 3/10 of 50 = 15
Total = 30 + 15 = 45
Remaining students = 5
No of students study geography = 5
Fraction of geography to whole class = 5/45 = 9
Y = -1/5x + 2
A line perpendicular to another line has an opposite reciprocal slope. What opposite means is that you flip the sign (from - to + or from + to -) and reciprocal means that you flip the numerator and denominator (so if line A is perpendicular to line B and line As slope is -3, line Bs slope would be 1/3).
First find the slope of 5x - y = -3
Add y to both sides
5x = y - 3
Add 3 to both sides
y = 5x + 3
So the slope of the line is 5. That means the slope of of the perpendicular line is -1/5.
Plug the slope of the perpendicular line and the point (5, 1) into point slope form to solve the equation
y - y1 = m(x - x1)
y - 1 = -1/5(x - 5)
y - 1 = -1/5x + 1
y = -1/5x + 2
Answer:
$7,544.58
Step-by-step explanation:
We will use the compound interest formula provided to solve this:
<em>P = initial balance</em>
<em>r = interest rate (decimal)</em>
<em>n = number of times compounded annually</em>
<em>t = time</em>
<em />
First, change 3.3% into its decimal form:
3.3% -> 
-> 0.033
Since the interest is compounded monthly, we will use 12 for n. Lets plug in the values now:
The balance after 1 year will be $7,544.58
18bags
Look if 1=3 2=9 3= 18 so he uses 18 bags!
