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azamat
4 years ago
10

Adiya said that the first step to solving the quadratic equation x2 + 6 = 20x by completing the square was to divide 6 by 2, squ

are that value, and add the result to both sides. Is Adiya’s solution method correct? Explain.
Mathematics
2 answers:
Sladkaya [172]4 years ago
8 0

Answer:

Adiya’s method is not correct. To form a perfect square trinomial, the constant must be isolated on one side of the equation. Also, the coefficient of the term with an exponent of 1 on the variable is used to find the constant in the perfect square trinomial. Adiya should first get the 20x term on the same side of the equation as x2. Then she would divide 20 by 2, square it, and add 100 to both sides.

vivado [14]4 years ago
5 0

Adiya’s method is not correct. To form a perfect square trinomial, the constant must be isolated on one side of the equation. Also, the coefficient of the term with an exponent of 1 on the variable is used to find the constant in the perfect square trinomial. Adiya should first get the 20x term on the same side of the equation as x2. Then she would divide 20 by 2, square it, and add 100 to both sides.


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Cuanto es 8x3cuarto ayudenme
tatyana61 [14]

Answer:

Step-by-step explanation:

8×3cuartos:648

7 0
3 years ago
You are really excited to have found a Puch Maxi Moped from the mid Eighties, and the spring weather is making you want to get o
AlexFokin [52]

Answer:

<u>We should add 1.2 fluid ounces of oil </u>

Correct statement and question:

You are really excited to have found a Puch Maxi Moped from the mid Eighties, and the spring weather is making you want to get out and ride it around. It doesn't run on straight gasoline, you have to mix the oil and gas together in a specific ratio of 2.4 fl. oz. of oil for every gallon of gasoline. You have 2 quarts of gas. How much oil should you add?

Source:

https://www.chegg.com/homework-help/questions-and-answers/really-excited-found-puch-maxi-moped-mid-eighties-spring-weather-making-want-get-ride-arou-q38287224

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Ratio = 2.4 fl. oz. of oil for every gallon of gasoline

Amount of gas you have = 2 quarts

2. How much oil should you add?

Let's recall that 1 liquid gallon = 4 liquid quarts, therefore:

Ratio = 2.4 fluid ounces of oil for every 4 quarts of gasoline

Replacing the with the real amount of gas we have:

Ratio = 1.2 fluid ounces of oil for every 2 quarts of gasoline )dividing by 2 the oil amount and the gas amount)

<u>We should add 1.2 fluid ounces of oil </u>

7 0
3 years ago
In an attempt to escape a desert island, a castaway builds a raft and sets out to sea. The wind shifts a great deal during the d
nikdorinn [45]

Answer:

R = 7,34 km

Ф = 63,43° north of east

Step-by-step explanation:

Let´s analyze each movement and find its perpendicular components. Then, we are going to add the components along the x and y axes to get the resultant and finally to calculate its magnitude and direction.

To determine the perpendicular components, we will use right triangles trigonometrics ratios.

Please see images for each displacement in attached file.

  • <u>Displacement A: 2.50 km and 45° north of west</u>

Ax= AcosФ = 2.50cos45° = 1.77 km (neg. direction)

Ay= AsenФ = 2.50sen45° = 1.77 km (pos. direction)

  • <u>Displacement B: 4.70 km and 60° south of east</u>

Bx= BcosФ = 4.70cos60° = 2,35 km (pos. direction)

By= BsenФ = 4.70sen60° = 4,07 km (neg. direction)

  • <u>Displacement C: 1.30 km and 25° south of west </u>

Cx= CcosФ = 1.30cos25° = 1,18 km (neg. direction)

Cy= CsenФ = 1.30sen25° = 0.55 km (neg. direction)

  • <u>Displacement D: 5.10 km due east (0°)</u>

Dx= DcosФ = 5.10 km (pos. direction)

Dy= DsenФ = 0 km

  • <u>Displacement E: 1.70 km and 5° east of north</u>

Ex= EsenФ = 1.70sen5° = 0,15 km (pos. direction)

Ey= EcosФ = 1.70cos5° = 1.69 km (pos. direction)

  • <u>Displacement F: 7.20 km and 55° south of west</u>

Fx= FcosФ = 7.20cos55° = 4.13 km (neg. direction)

Fy= FsenФ = 7.20sen55° = 5.90 km (neg. direction)

  • Displacement G: 2.80 km and 10° north of east

Gx= GcosФ = 2.80cos10° = 2.76 km (pos. direction)

Gy= GsenФ = 2.80sen10° = 0.49 km (pos. direction)

Now, we add the components along the x- and y- axis to find the components of the resultant (R):

Rx = Ax + Bx + Cx + Dx + Ex + Fx + Gx

Ry = Ay + By + Cy + Dy + Ey + Fy + Gy

Therefore,

Rx= (-1.77)+(2.35)+(-1.18)+(5.10)+(0.15)+(-4.13)+(2.76)

Ry= (1.77)+(-4.07)+(-0.55)+(0)+(1.69)+(-5.90)+(0.49)

<em>Note: minus (-) symbol to negative directions</em>

Rx = 3.28 km

Ry = - 6.57 km

Let´s use the Theorem of Pythagoras to find the magnitud ot the resultant:

R = \sqrt{Rx^{2} +Ry^{2} }

R =\sqrt{(3.28)^{2}+(-6.57)^{2} }

R = 7,34 km

To find the direction of the resultant:

tanФ = \frac{Ry}{Rx}

tanФ = \frac{6.57}{3.28}

tanФ = 2.00

Ф = tan-1 (2.00)

Ф = 63,43° north of east

Download pdf
3 0
3 years ago
HELP!! WILL GIVE BRAINLIEST AND LOTS OF POINTS!!
NikAS [45]

1. B is your answer

Explanation: The distribution is not the same, as they are not all one number (for example, 10, which is the majority) They are also concentrated towards the middle, as seen that two of the 3 that have a 10 is towards the middle.

2. C is your best answer

Explanation: This is a sample, and not the whole population, and so only those who wish to answer's responses would show up, leading to only certain amounts of mileage given. If there was a set amount with no choices, in which people HAD to take it, then the results would have been different)

hope this helps

7 0
4 years ago
Read 2 more answers
your hourly wage is $9.30 per hour plus $0.80 for each unit you produce. how many units must you produce in 1 hour so that your
jasenka [17]

Answer:       12 units

Step-by-step explanation:

18.90- 9.30= 9.60

9.60/ 0.80= 12

3 0
3 years ago
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