Answer:
{- 11, - 1 }
Step-by-step explanation:
Since the coefficient of the x² term is 1 , to complete the square
add (half the coefficient of the x-term )² to both sides
x² + 2(6)x + 36 = - 11 + 36 ← complete the square on the left side
(x + 6)² = 25 ( take the square root of both sides
= ± 
x + 6 = ± 5 ( subtract 6 from both sides )
x = - 6 ± 5
x = - 6 + 5 = - 1 or x = - 6 - 5 = - 11
Answer:
D
Step-by-step explanation:
observe, grouping by gcd not 1
28r² + 35ry – 4xr – 5xy
= 28r² – 4xr + 35ry – 5xy
= 4r(7r – x) + 5y(7r –x)
= (4r + 5y)(7r – x)
Answer:
10 and 4.
Step-by-step explanation:
Let x be the first number.
Let y be the second number.
x + y = 2x - 6
x - y = 4y - 10
x = 4y - 10 + y
x = 5y - 10
(5y - 10) + y = 2(5y - 10) - 6
6y - 10 = 10y - 20 - 6
6y - 10 = 10y - 26
6y - 10y = -26 + 10
-4y = -16
y = 4
x - (4) = 4(4) - 10
x - 4 = 16 - 10
x - 4 = 6
x = 6 + 4
x = 10
Answer:
e = -2
Step-by-step explanation:
Well to solve for e in the following equation,
.75(8 + e) = 2 - 1.25e
We need to distribute and use the communicative property to find <em>e</em>.
6 + .75e = 2 - 1.25e
-2 to both sides
4 + .75e = -1.25e
-.75 to both sides
4 = -2e
-2 to both sides
e = -2
<em>Thus,</em>
<em>e is -2.</em>
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<em>Hope this helps :)</em>
Answer:
Infinitely many solutions.
Step-by-step explanation:
4v=6v-2v Combine like terms.
4v=4v These are already equal without diving, so there are infinitely many solutions.
Hope this helps and have a nice day ❤
