We need to convert this equation to slope-intercept form first.
We can do that by solving for y.
x - 5y = 15
<em><u>Add 5y to both sides.</u></em>
x = 5y + 15
<em><u>Subtract 15 from both sides.</u></em>
x - 15 = 5y
<em><u>Divide both sides by 5.</u></em>
y = 1/5x - 3
We now know the slope is 1/5.
The slope of the line perpendicular to the line with a slope of 1/5 is -5.
The slope of a perpendicular line is the negative reciprocal of the original slope.
Using a graphing calculator, we know the y-intercept of the line that is perpendicular to the original line must have a y-intercept of -6 to run through the points (-2, 5).
The equation of the new line is y = -5x - 6.
Answer:
Area = 886cm^2
Step-by-step explanation:
34 • 16 = 544
19 • 11 = 209
25 - 11 = 14
14 • 19 = 266/2
266/2 = 133
544 + 209 + 133 = 886cm^2
Answer:
the diameter of a circle is 56 CM
Answer:
a = 6 , b = 4
Step-by-step explanation:
a + b = 10................equation 1
a - b = 2..................equation 2
Solving equation 1 and 2 we get
a + b = 10
<u>a - b = 2</u>
2a = 12
a = 12/2
Therefore a = 6
Now
putting a = 6 in equation 1
6 + b = 10
b = 10 - 6
Therefore b = 4
Answer: 124
Step-by-step explanation:
As we know, the total number of positive divisors of n is the product of one more than each exponent in the prime factorization of n.
We know this product is equal to 11.
Since 11 is prime, so there can be only one number in this product, so the prime factorization of n must be 
, where p is a prime number.
We take a cube of the prime factorization of n to give us a prime factorization for 
We see that 
positive divisors.
Now, 
Totald divisiors = 
Hence, the number of positive divisors of 
