Solve the quadratic function by completing the square. What are the missing pieces in the steps?–32 = 2(x2 + 10x)
–32 + = 2(x2 + 10x + 25)
18 = 2(x + 5)2
9 = (x + 5)2
± = x + 5
x = –2 or x =
Answers
Answer:
x = - 2 or x = - 8
Step-by-step explanation:
Given
2(x² + 10x) = - 32 ( divide both sides by 2 )
x² + 10x = - 16
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(5)x + 25 = - 16 + 25
(x + 5)² = 9 ( take the square root of both sides )
x + 5 = ± = ± 3 ( subtract 5 from both sides )
x = - 5 ± 3, thus
x = - 5 + 3 = - 2 or x = - 5 - 3 = - 8
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Suppose y varies directly with x write a direct variation equation that relates x and y when y =6 and x=12 then find the value of y and x=10
How many stickers has Rosalie collected?
Answers
Step-By-Step Explanation:
8 stickers • 2 weeks. Well there are 14 days in 2 weeks so multiply the amount of stickers by days.
8•14=112
5 stickers • 2 weeks. Here we do the same thing as above. Multiply stickers by days.
5• 14=70
After this add 112 and 70 to get your answer.
112+70=182
Hope this helped :3
Answers
hoped this helps
Final answer:
To divide 7/9 by 2 13/18, convert the mixed number to an improper fraction, then multiply the fractions and simplify. The result is 42/141.
Explanation:
To divide 7/9 by 2 13/18, we need to convert the mixed number 2 13/18 into an improper fraction. To do this, we multiply the whole number (2) by the denominator of the fraction (18) and add the numerator (13). This gives us 47. So, 2 13/18 can be written as the improper fraction 47/18.
Now, we can divide 7/9 by 47/18. We multiply the first fraction by the reciprocal of the second fraction (flip the numerator and denominator). So, (7/9) ÷ (47/18) becomes (7/9) × (18/47).
To multiply fractions, we multiply the numerators together and the denominators together. This gives us (7/9) × (18/47) = (7 × 18) / (9 × 47) = 126/423.
Lastly, we can simplify the fraction by dividing the numerator and denominator by their greatest common divisor. The GCD of 126 and 423 is 3. Dividing both numerator and denominator by 3 gives us the simplified answer: 42/141.
Learn more about Dividing Fractions here:
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a. (-5, 2)
b. (-5, 0)
c. (-5, 5)
Answers
Answer:
Option a. (-5, 2)
Step-by-step explanation:
The focus of a parabola is a point. Regarding this point, each point of the parabola has the same distance to a line that is known as "directrix".
By definition, for a parabola of the form:
The focus of the parable is given by the point: (h, k +p)
We must identify the values of h, k and p for the given equation.
Now that we know the values of h, k and p we can find the focus
The focus is
(-5, 1+1)
(-5, 2).
Answers
Answer:
The answer Is D
Step-by-step explanation:
The side that is similar is PQ. Have a good day
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Answers
A series converges is r<1; in the first series r=1; in the second, r=2; in the third, r=2; and in the last, r=1/3.
Answer:
The answer is C! :)