A: 8 x 1/4 = 2, so Roger ran 2 miles. 5280 x 2 = 10560, so Roger ran 10560 feet.
B. Roger already ran 2 miles, so he needs to run 8 more miles to reach his goal. 1 lap = 1/4 mile, so divide 1/4 from 8 to get 32. Roger needs to run 32 more laps this week.
QR=RS+QS
UT cuts QR and QS in half equally.
that means that UT is equal to half of RS <span />
<span>Simplifying
3a2 + -2a + -1 = 0
Reorder the terms:
-1 + -2a + 3a2 = 0
Solving
-1 + -2a + 3a2 = 0
Solving for variable 'a'.
Factor a trinomial.
(-1 + -3a)(1 + -1a) = 0
Subproblem 1Set the factor '(-1 + -3a)' equal to zero and attempt to solve:
Simplifying
-1 + -3a = 0
Solving
-1 + -3a = 0
Move all terms containing a to the left, all other terms to the right.
Add '1' to each side of the equation.
-1 + 1 + -3a = 0 + 1
Combine like terms: -1 + 1 = 0
0 + -3a = 0 + 1
-3a = 0 + 1
Combine like terms: 0 + 1 = 1
-3a = 1
Divide each side by '-3'.
a = -0.3333333333
Simplifying
a = -0.3333333333
Subproblem 2Set the factor '(1 + -1a)' equal to zero and attempt to solve:
Simplifying
1 + -1a = 0
Solving
1 + -1a = 0
Move all terms containing a to the left, all other terms to the right.
Add '-1' to each side of the equation.
1 + -1 + -1a = 0 + -1
Combine like terms: 1 + -1 = 0
0 + -1a = 0 + -1
-1a = 0 + -1
Combine like terms: 0 + -1 = -1
-1a = -1
Divide each side by '-1'.
a = 1
Simplifying
a = 1Solutiona = {-0.3333333333, 1}</span>
<u> 30a² </u> <u> 42a³ </u> <u> 54a³b </u>
2 · 3 · 5 ·× a · a<u /> 2 · 3 · 7 · a · a · a 2 · 3 · 3 · 3 · a · a · a · b
GCF = 2 · 3 · a · a
GCF = 6a² <u />
Hello there,
To start it off, 2 x 39= 78
So a is correct that would be 2 x 30+9 = 2x39= 78
So b is correct as well. 2 x 40-1= 2 x 39= 78
c is questionable 2 x 30 +9= 60 + 9 = 69
So d is correct 18 + 60 = 78
So e is correct 100-22 = 78
So 2 x 39 is not equal to (2 x 30) +9
Hope this helped!
