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Akimi4 [234]
4 years ago
7

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
1 answer:
irina [24]4 years ago
7 0

Answer:

No.

Step-by-step explanation:

In order to complete the square, you need to have the x values together, not the constant.

To complete the square <em>correctly </em>you would need to have x² - 20x = -6 and continue from there; divide 20 by 2 and square the result to get (x - 10)² = 96.

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What is the slope? Simplify your answar and write it as a proper fraction, improper fraction, or intiger.​
FrozenT [24]

Answer:

\displaystyle m = \frac{1}{2}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

Coordinate Planes

  • Reading a graph
  • Coordinates (x, y)
  • Slope Formula: \displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify points from graph.</em>

Point (20, 0)

Point (100, 40)

<u>Step 2: Find slope </u><em><u>m</u></em>

Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>

  1. Substitute in points [Slope Formula]:                                                              \displaystyle m = \frac{40 - 0}{100 - 20}
  2. [Order of Operations] Simplify:                                                                        \displaystyle m = \frac{40}{80}
  3. Simplify:                                                                                                             \displaystyle m = \frac{1}{2}
6 0
3 years ago
The distance that an object falls from rest, when air resistance is negligible, varies directly as the square of the time that i
Amiraneli [1.4K]

Answer:

\boxed{301865\:feet}

Step-by-step explanation:

Let the distance be d and the time be t.


It was given that the distance, d, varies directly as the square of the time t, we write the proportional relation,


d\propto t^2.


\Rightarrow d=k t^2, where k is the constant of variation.


It was also given that, d=193,193, when t=44.


\Rightarrow 193193=k (44^2)


\Rightarrow 193193=1936k


\Rightarrow \frac{193193}{1936}=k


\Rightarrow k=99.79


Now the equation of variation becomes;

d=99.79t^2


When, t=55s, d=99.79(55^2)


\Rightarrow d=99.79(3025)


d=301864.75

The object will travel 301865 feet in 55 seconds.


3 0
3 years ago
Sharon wants to make 24 half-cup servings of soup. How many ounces of soup does she needs?
Ksju [112]

Answer:The answer is 96

Step-by-step explanation: 4 ounces equal half a cup, so 24x4=96 (which equals 12 full cups)

7 0
4 years ago
A tree is supported by HELP! a wire anchored in the ground 9 feet from its base. the wire is 1 foot longer than the height that
olga55 [171]
For a right triangle with legs legnth a and b and hyptonuse c
a^2+b^2=c^2
9 feet from base, that's one leg
wire is hypotnuse, it's 1 more than height on tree
c=b+1

so
9^2+b^2=(b+1)^2
81+b^2=b^2+2b+1
minus b^2+1 from both sides
80=2b
divide both sides by 2
40=b
c=b+1
c=40+1
c=41
legnth of wire is 41ft
7 0
3 years ago
Read 2 more answers
If,<br><img src="https://tex.z-dn.net/?f=%5Cbf%7B%7B%20x%3Ay%20%3D%2013%3A8%20%5C%3A%20%20%5C%3A%20%20and%20%5C%3A%20%20%5C%3A%2
SpyIntel [72]

Find LCM for the second term or common terms from both ratio that is 8 and 6

The LCM is 24

So

x:y = 13×3:8×3

y:z= 6×4:9×4

x:y= 39:24

y:z= 24:36

So, x:y:z= 39:24:36

Hope This Helps You ❤️

8 0
3 years ago
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