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Lerok [7]
3 years ago
14

Use the discriminate to determine the number and the nature of the solutions of the giving equation.

Mathematics
1 answer:
PolarNik [594]3 years ago
7 0

Answer:

Since b^2 -4ac = 256 we have 2 real distinct root roots

Step-by-step explanation:

4x^2+12x=7

We need to subtract 7 to get it in the proper form

4x^2+12x-7=7-7

4x^2+12x-7=0

The discriminant is b^2 -4ac

when the equation is ax^2 +bx+c

so a =4   b=12 and c=-7

(12)^2 - 4(4)(-7)

144 +112

256

If b^2 -4ac > 0 we have 2 real distinct roots

If b^2 -4ac = 0 we have one real root

If b^2 -4ac < 0 we have two complex root

Since b^2 -4ac = 256 we have 2 real distinct root roots

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Find x. Round your answer to the nearest tenth of a degree.
Y_Kistochka [10]

Answer:

x ≈ 42.5

Step-by-step explanation:

We use tan∅ to solve this:

tanx° = 11/12

x° = tan^{-1}(11/12)

x = 42.5104°

3 0
3 years ago
For this problem use 3.14 for , and any non-integer answers should be entered as decimals rounded to the hundredths place. Lanno
arsen [322]

Answer:

Step-by-step explanation:

For this problem use 3.14 for , and any non-integer answers should be entered as decimals rounded to the hundredths place. Lannon is designing a carnival game for a school event. She has a large wooden square and she needs to cut out a circle from the middle. The circumference of the circle that she plans to cut out is 56.52 inches. What is the radius

The formula for circumference of a circle = 2πr

Circumference = 56.52 inches

r = Circumference/2π

r = 56.52/2π

7 0
3 years ago
What is the simplified expression for,
Nostrana [21]

Here are a few rules you need to know for this equation:

  • Multiplying exponents of the same base: x^m\times x^n=x^{m+n}
  • Dividing exponents of the same base: \frac{x^m}{x^n}=x^{m-n}
  • Turning a negative exponent to a positive one: x^{-m}=\frac{1}{x^m};\frac{1}{x^{-m}}=x^m

So this is our algebraic expression: \frac{3^{-4}\times 2^3\times 3^2}{2^4\times 3^{-3}}

Firstly, multiply 3^-4 and 3^2: \frac{3^{-4+2}\times 2^3}{2^4\times 3^{-3}}=\frac{3^{-2}\times 2^3}{2^4\times 3^{-3}}

Next, divide:

\frac{3^{-2}\times 2^3}{2^4\times 3^{-3}}=3^{-2-(-3)}2^{3-4}=3^12^{-1}

Next, turn the negative exponent into a positive one: 3^12^{-1}= \frac{3}{2}

<u>Your final answer is 3/2, or 1.5.</u>

6 0
3 years ago
4p ≥ -28. What is p?
Ann [662]

Answer:

p>=\frac{-13}{7}>=-1\frac{6}{7}

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Please answer with process
laila [671]

\mathsf{Given : a - b = 5}

\mathsf{Squaring\;on\;both\;sides,\;we\;get :}

\mathsf{\implies (a - b)^2 = 5^2}

\mathsf{\implies a^2 + b^2 - 2(a.b) = 25}

\mathsf{Given : a^2 + b^2 = 29}

\mathsf{\implies 29 - 2(a.b) = 25}

\mathsf{\implies 2(a.b) = 29 - 25}

\mathsf{\implies 2(a.b) = 4}

\mathsf{\implies (a.b) = 2}

6 0
3 years ago
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