We are given an equation:
This is an equation of a circle. General form of a circle equation is:
Where:
a = x coordinate of a center
b = y coordinate of a center
r = radius of a circle
Motion detector can detect person anywhere within a boundary. The greatest distance at which detector can detect is at the edge of a circle. That distance, between detector and edge of circle, is equal to radius.
From the equation we have:
The greatest distance at which person can be detected is 4ft.
Answer:
2b²(8b²+15b-6)
Step-by-step explanation:
16
+30b³-12b²
2b²(8b²+15b-6)
This is not further factorable. If you want to find the roots, you'd have to use the quadratic formula for the polynomial in the parentheses. Therefore that is our final answer.
The expression of the mathematical statement given as "Jaun's age, x, is 4 times his age 15 years ago" is x = 4 * (x - 15)
<h3>How to rewrite the statement as an expression?</h3>
The mathematical statement is given as
Jaun's age, x, is 4 times his age 15 years ago
From the statement, we have:
x represent Juan's current age
This means that his age 15 years ago is
15 years ago = x - 15
4 times his age 15 years ago is
4 * 15 years ago = 4 * (x - 15)
The above equation is equivalent to his current age
So, we have
x = 4 * (x - 15)
Hence, the expression of the mathematical statement given as "Jaun's age, x, is 4 times his age 15 years ago" is x = 4 * (x - 15)
Read more about expressions at
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Answer:
160 in ^2
Step-by-step explanation:
First we need to find the area of each shape and add them together
1. Triangles:
The formula for a triangle is (base x height)/2, so we can replace them as (5 * 4)/2 * 2( Because there are two triangles), so therefore the two triangles will add up to 20 inches
2. The Rectangles
<u>The Big Rectangle:</u>
The big rectangle is just <em>l x w </em> or 5 * 20 which is 100
<u>The small rectangle:</u>
To find the width of the small rectangle you have to do 20 - (5 + 5) because we are not including the triangles. 20 - (5 + 5) = 10, so that would be 10 * 4 = 40.
3.Add them together
20 + 100 + 40 = 160 inches ^2
Hope this helps!!!
