Answer:
3
Step-by-step explanation:
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Answer:
y = 9 + -1x + 5x2
Step-by-step explanation:
Simplifying
4y + -7 = 5x2 + -1x + 2 + 3y
Reorder the terms:
-7 + 4y = 5x2 + -1x + 2 + 3y
Reorder the terms:
-7 + 4y = 2 + -1x + 5x2 + 3y
Solving
-7 + 4y = 2 + -1x + 5x2 + 3y
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-3y' to each side of the equation.
-7 + 4y + -3y = 2 + -1x + 5x2 + 3y + -3y
Combine like terms: 4y + -3y = 1y
-7 + 1y = 2 + -1x + 5x2 + 3y + -3y
Combine like terms: 3y + -3y = 0
-7 + 1y = 2 + -1x + 5x2 + 0
-7 + 1y = 2 + -1x + 5x2
Add '7' to each side of the equation.
-7 + 7 + 1y = 2 + -1x + 7 + 5x2
Combine like terms: -7 + 7 = 0
0 + 1y = 2 + -1x + 7 + 5x2
1y = 2 + -1x + 7 + 5x2
Reorder the terms:
1y = 2 + 7 + -1x + 5x2
Combine like terms: 2 + 7 = 9
1y = 9 + -1x + 5x2
Divide each side by '1'.
y = 9 + -1x + 5x2
Simplifying
y = 9 + -1x + 5x2
Answer:
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Step-by-step explanation:
9514 1404 393
Answer:
10/33
Step-by-step explanation:
The usual approach (if your calculator won't do this for you) is to convert the mixed number to an improper fraction, then perform the division. That division can be accomplished by multiplying the numerator by the inverse of the denominator.
1 7/15 = (15+7)/15 = 22/15
Then ...
(4/9)/(22/15) = (4/9)(15/22) = (2·2·3·5)/(3·3·2·11) = (2·5)/(3·11) = 10/33
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<em>Alternate solution</em>
Both fractions can be given the same denominator:
4/9 = 20/45
1 7/15 = 22/15 = 66/45
Now, the division is ...
(20/45)/(66/45) = 20/66 = 10/33
Answer:
y = 45°
Step-by-step explanation:
4 sides = 360°
(2y+1)° + y° + 112° + 112° = 360°
2y + y = 360 - 112 - 112 - 1
3y = 135
y = 135÷3
= 45°