Answer:
20n² - 40n + 20
Step-by-step explanation:
(5n - 5)(4n - 4)
= 5n(4n) + 5n(-4) - 5(4n) - 5(-4)
= 20n² - 20n - 20n + 20
= 20n² - 40n + 20
Another way to do this:
(5n - 5)(4n - 4)
= 5(n - 1) * 4(n - 1)
= 20(n - 1)(n - 1)
= 20(n - 1)²
= 20(n² - 2n + 1)
= 20n² - 40n + 20
Answer:
x = 3
Step-by-step explanation:
Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x. Do the opposite of PEMDAS.
First, subtract 4 from both sides:
3x + 4 (-4) = 13 (-4)
3x = 13 - 4
3x = 9
Next, divide 3 from both sides:
(3x)/3 = (9)/3
x = 9/3
x = 3
3 is your answer for x.
~
Answer:
unlike terms is the answer
Answer:
4, 6, 1
Step-by-step explanation:
We can solve this problem using a system of equations:
1) a + b + c = 11
2) 2a + 5b + 6c = 44
3) 4a - b = 10
First, we can substitute the value of b from equation #3 into equation #1:
b = 4a - 10
a + (4a - 10) + c = 11
5a - 10 + c = 11
5a + c = 21
c = 21 - 5a
Now, we can plug the values of b and c into equation #2, as b and c are represented in terms of a:
2a + 5(4a - 10) + 6(21 - 5a) = 44
2a + 20a - 50 + 126 - 30a = 44
-8a + 76 = 44
-8a = -32
a = 4
b = 4a - 10 = 4(4) - 10 = 6
c = 21 - 5a = 21 - 5(4) = 1
Answer:
4 miles to the nearest mile.
Step-by-step explanation:
Circumference of the track = 2 pi r
= 2*pi*0.2 = 1.257 miles
Ellie ran 3 times around the track so
the distance she ran is 3* 1.257
= 4 miles