141 (The original number) ;1 + 4 + 1 = 6 (Add each individual digit together) ;6 is divisible by 3 ;Then 141 is divisible by 3 ;141 isn't a prime number ;In the same way, 171 is divisible by 9 ; then, 171 isn't a prime number ;
161 = 7 x 23; 161 is divisible by 7 ; then, 161 isn't a prime number ;
Test whether 171 is divisible by 2, 3 , 5 , 7 , 11 , 13 ( <span>an algorithm that tests each incremental </span>m<span> against all known primes < </span> division ) ;
but, 171 isn't divisibile by 2,3,5,7,11,13 ;
Finally, 171 is a prime number ;
Important: If you're discussing squares, please express "the square of x" as x^2 (not as x2).
Please note that your y=x^2+3 is NOT a line. I will assume (probably incorrectly!) that you meant y=2x+3. The slope of this line is 2, so the slope of any line perpendicular to y=2x+3 is -1/2.
Now use the point-slope equation of a straight line:
y-8 = (-1/2)(x-1) (answer)
Answer:
-
- Dimensions of the flag:
- Area of the flag:
Step-by-step explanation:
<em><u>The missing figure of the exercise is attached.</u></em>
<em><u /></em>
We know that the perimeter of the triangle is given by:
Where "s" is the side lenght of the triangle.
Solving for "s", we get:
Therefore, if the perimeter of the triangle is 126 inches, its side length is:
Since 
, we know that "s" in feet is:
The area of a rectangle can be calculated with this formula:
Where "l" is the lenght and "w" is the width
We can observe in the figure that the lenght and the width of the flag are:
Then, the dimensions of the flag are:
And the area is:
4(5x-20)=-20
20x-80=-20
20x=60
x=3
First you have to find what 30% of ten is, and then add it to the 10. So how do you find 30 % of 10? In math...
"of" means ×
"is" means =
30% of 10 is
30 % × 10 =
change 30% to a decimal by dividing by 100 ( move the decimal to the left 2 places)
.30 × 10 = 3
So 30% of ten is 3. Now since we are increasing by 30%, we have to add it to the original value, 10.
3 + 10 = 13
So 10 millimeters increased by 30% is
13 millimeters
