Rearrange the product
(5.91 * 10^(-3)) * (8.7 * 10^10)
as
(5.91 * 8.7) * (10^(-3) * 10^10)
We have 5.91 * 8.7 = 51.417, and 10^(-3) * 10^10 = 10^(10 - 3) = 10^7, so the original product above reduces to
51.417 * 10^7
We can "add" powers of 10 by moving the decimal place to the left:
51.417 = 5.1417 * 10
so that
51.417 * 10^7 = (5.1417 * 10) * 10^7 = 5.1417 * 10^8
The numbers are equal. 25=25
Answer:
4527
Step-by-step explanation:
total amount students = 4527+1641
=6168
amount of students who did not win a medal = total - amount who won a medal
= 6168-1641
=4527
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y =
x - 6 ← is in slope- intercept form
with slope m = 
Parallel lines have equal slopes , then
y =
x + c ← is the partial equation
To find c substitute (9, 2) into the partial equation
2 = 6 + c ⇒ c = 2 - 6 = - 4
y =
x - 4 ← equation of parallel line
-------------------------------------------------------------------
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= -
, then
y = -
x + c ← is the partial equation
To find c substitute (9, 2) into the partial equation
2 = -
+ c ⇒ c = 2 +
= 
y = -
x +
← equation of perpendicular line