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zysi [14]
3 years ago
13

Find the exact roots of x^2+10x-8=0 by completing the square

Mathematics
1 answer:
irinina [24]3 years ago
5 0
From the original equation x^2+10x-8=0, move the loose number on the other side. Your new equation will be x^2+10x=8. Moving an element from one side to another reverses its sign. From -8 to +8. Then take half of the x-term and square it and add it on both sides. X-term is 10x and 10 is the number, half of it is 5 then square of 5 is 25. Add 25 on both side. Your new equation will be x^2+10x+25=8+25. Then complete the square form of the left side of the equation, (x+5)^2=33. Square root both side then you will get x+5=squareroot of 33. Your x = -5 plus/minus squareroot of 33.
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A 60 by 80-foot rectangular walk in a park surrounds a flower bed. If the walk is of uniform width and its area is equal to the
alekssr [168]

Answer: 17.14 ft

<u>Step-by-step explanation:</u>

The area of the flower bed is 60 ft x 80 ft = 4800 ft²

The perimeter of the sidewalk that surrounds the flower bed is:

  •   2(60 ft) + 2(80 ft)
  • = 120 ft + 160 ft
  • = 280 ft

The area of the sidewalk is:

  • perimeter x width
  • = 280w

area of sidewalk = area of flower bed

280w = 4800

\text{w}=\dfrac{4800}{280}

  =\dfrac{120}{7}

  ≈ 17.14


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3 years ago
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lozanna [386]

Answer:

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Step-by-step explanation:

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6 0
3 years ago
Patrick went cycling one weekend.
Margarita [4]
For this question, it would be most effective to use an algebraic expression to more easily show what the question is asking. If we use the variable "k" to show the distance in km that he cycled on Sunday, we know that the amount he cycled on Saturday equals k + 12, and the amount that he cycled on the weekend should be the amount of Saturday plus the amount of Sunday. If we write this as an equation we say:
k + k + 12 = 38
=> 2k + 12 = 38
Now we can just rearrange and solve for k:
=> 2k = 26
=> k = 26/2 = 13
Therefore Patrick cycled 13km on Sunday
To solve the answer, we just add 12km to the value for Sunday like so:
12 + 13 = the amount he cycled on Sunday
Hope this helped, remember to please try and understand the maths as well as the answer :))
8 0
3 years ago
Please help me ASAP with this math problem
ser-zykov [4K]

Answer:

Root( c square -9)

Step-by-step explanation:

The answer u have is the answer for a^2

8 0
3 years ago
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one foot of water column produces a pressure of 0.433psi . a gauge at the bottom of a water tower reads 44 psi. how high is the
Klio2033 [76]
The answer to the psi is 19.6
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