To find the slope of the perpendicular line, you can take the negative reciprocal of the slope of the line it is perpendicular to.
Taking the negative reciprocal of -1/5 gives 5.
Now we have y=5x+b, where b is the y-intercept. Since we know that the perpendicular line passes through the point (1,4), we can substitute those values into the equation we have to find b.
y=5x+b
4=5(1)+b
4=5+b
b=-1
Therefore, the equation of the perpendicular line is y=5x-1.
The LCD is 10 because you can multiply 2/5 by 2 to get 4/10
Answer:
128
Step-by-step explanation:
Answer:
m = 10
Step-by-step explanation:
According to the picture attached, we can see the angles formed.
The angle on the top (5m+100) is sided with the angle 2m+10. This means that they are supplementary angles, their sum is 180°.
So,
5m+100+2m+10 = 180
5m+2m=180-100-10
7m = 70
m = 10
Answer: 4,188.79 u^3
Step-by-step explanation: Volume of a sphere is (4/3)pi•r^3
10^3 = 1000
(4/3) • pi • 1000 = 4,188.79 (rounded to 2 decimals)
