Given: y²+5y
Converting y²+5y in the form: x²+2ax+a²
Here 2a=5 or a=5/2
Add and subtract (5/2)²
y²+5y+(5/2)²-(5/2)²
Complete the square.
(y+5/2)²-(5/2)²
Simplify
(y+5/2)² - 25/4
Answer: (y+5/2)² - 25/4
Answer:
7/11 (Simplified Already)
Step-by-step explanation: 25÷2235=?
Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.
Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes
25×3522=?
For fraction multiplication, multiply the numerators and then multiply the denominators to get
2×355×22=70110
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 70 and 110 using
GCF(70,110) = 10
70÷10110÷10=711
Therefore:
25÷2235=711
Solution by Formulas
Apply the fractions formula for division, to
25÷2235
and solve
2×355×22
=70110
Reduce by dividing both the numerator and denominator by the Greatest Common Factor GCF(70,110) = 10
70÷10110÷10=711
Therefore:
2/5÷22/35=7/11
It would weight 18lbs i believe
(a) Slope is rise over run, or change in y over change in x.
1 -> 3 (
)
2 -> 3 (
)
3 -> -1/3 (
)
(b) If a line is parallel, the slopes will be the same. If they are perpendicular, the slopes will be are negative reciprocals of one another. If they are neither, then their slopes don't match up in any way.
1 & 2 -> Parallel
1 & 3 -> Perpendicular
2 & 3 -> Perpendicular
Note - Since 1 & 2 are parallel, then both 1 and 2 will be perpendicular to 3!
Have a nice day!
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- Heather
6(5x+2+x)=6(6x+2) Second expression
6(5x+2+x)=6(6x+2)=6(6x)+6(2)=36x+12 Third expression
Answer: The two expressions are equivalent to 6(5x+2+x) are:
Second expresion: 6(6x+2) and
Third expression 36x+12