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Mekhanik [1.2K]
2 years ago
12

Which equation has the solutions x = 5+/- 2 the squire root of 7 over 3

Mathematics
1 answer:
coldgirl [10]2 years ago
5 0
If you look at the quadratic formula:

x=(-b±√(b^2-4ac))/(2a)

We can say that -b=5, b=-5

If I read it right you had ±2√7 which is equal to ±√28, and we know b=-5 so:

±√(25-4ac)=±√28

And since 3=2a, a=1.5 making the above:

±√(25-6c)=±√28

25-6c=28

-6c=3

c=-0.5

So a=1.5, b=-5, and c=-0.5 thus 

y=1.5x^2-5x-0.5

We can check this by reapplying the quadratic formula to the equation above

x=(5±√(25-4(1.5)(-0.5))/3

x=(5±√(25+3))/3

x=(5±√28)/3

x=(5±√(4*7))/3

x=(5±2√7)/3
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Answer:

Option

Step-by-step explanation: The way tell what the answer is are the similar lines. The single yellow line helps indicate that it's a similar angle.

3 0
2 years ago
Solve for x. Round to the nearest tenth of a degree, if necessary.
babymother [125]

Answer:

x ≈ 40.0°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan x = \frac{opposite}{adjacent} = \frac{WX}{VW} = \frac{57}{68} , then

x = tan^{-1} (\frac{57}{68} ) ≈ 40.0° ( to the nearest tenth )

7 0
2 years ago
Whoever answers these 6 area of composite shapes will get brainliest.
german

Answer:

  1. <u>80 mi²</u>
  2. <u>63 in²</u>
  3. <u>32 m²</u>
  4. <u>44 cm²</u>
  5. <u>59.5 ft²</u>
  6. <u>48 km²</u>

Step-by-step explanation:

<u>Q1</u>

  • 8 x 4 + 12 x 4
  • 32 + 48
  • <u>80 mi²</u>

<u>Q2</u>

  • 5 x 3 + 12 x 4
  • 15 + 48
  • <u>63 in²</u>

<u>Q3</u>

  • 4 x 2 + 8 x 3
  • 8 + 24
  • <u>32 m²</u>

<u>Q4</u>

  • 10 x 4 + 2 x 2
  • 40 + 4
  • <u>44 cm²</u>

<u>Q5</u>

  • 5 x 2 + 11 x 4.5
  • 10 + 49.5
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<u>Q6</u>

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5 0
1 year ago
Your hourly salary increased from $14 to $29. What is the percent increase in your<br> salary?
V125BC [204]

Answer:

107%

Step-by-step explanation:

$14 to $29

Original number/start = $14

End number = $29

Increase = $29 - $14 = $15

% increase = Increase ÷ Original Number × 100

Substitute in known values

% increase = 15 ÷ 14 × 100

Divide

% increase = 1.07 × 100

Multiply

% increase = 107%

The percentage increase is 107%

Hope this helps :)

4 0
3 years ago
Read 2 more answers
Please answer both with work,please use a paper and picture, thanks ​
Irina-Kira [14]

Answer:

a.  $ \frac{\textbf{17}}{\textbf{4}} $

b.  $ \frac{\textbf{3}}{\textbf{8}} $

Step-by-step explanation:

a. $ \textbf{3} \hspace{1mm} \textbf{+} \hspace{1mm} \textbf{1}\frac{\textbf{1}}{\textbf{4}} $

A mixed fraction of the form $ a\frac{x}{y} = a + \frac{x}{y} $

$ \therefore 3 + 1\frac{1}{4} = 3 + 1 + \frac{1}{4} $

$ = 4 + \frac{1}{4} $

$ = \frac{\textbf{17}}{\textbf{4}} $

b. $ \textbf{2} \hspace{1mm} \textbf{-} \hspace{1mm} \textbf{1}\frac{\textbf{5}}{\textbf{8}} $

A mixed fraction of the form $ -c\frac{a}{b} = - c - \frac{a}{b} $

$ \therefore 2 - 1\frac{5}{8} = 2 - 1 - \frac{5}{8} $

$ = 1 - \frac{5}{8} $

$ = \frac{8 - 5}{8} $

$ = \frac{\textbf{3}}{\textbf{8}} $

Hence, the answer.

8 0
3 years ago
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