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Anon25 [30]
2 years ago
13

Both roots of x^2 + Nx + 144 are equal to each other. Find all the possible values of N.

Mathematics
1 answer:
Amanda [17]2 years ago
6 0

Answer:

N=+24,-24

Step-by-step explanation:

Well this is a quadratic equation and we can make further deductions using it's discriminant

b²-4ac=0

N²-4(1×144)=0

N²-576=0

N²=576

N=√576

N=+24,-24

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6 hours before is 9pm
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Find the area of a circle whose area equals the half of the sum of the areas of two circles with radil 2 and 3.
OlgaM077 [116]

Step-by-step explanation:

step 1. a circle with r = 2 has area of (pi)r^2 = (pi)(4) = 4pi

step 2. a circle with r = 3 has area of (pi)r^2 = (pi)(9) = 9pi

step 3. the area, A, of a circle is half the sum of the area of the circles with r = 2 and r = 3

step 4. A = (4pi + 9pi)/2 = 13pi/2 = 6.5(pi).

step 5. the answer is not 6.5 but is 6.5(pi) or 6.5 times pi.

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2 years ago
Find the slope of the line that contains the following points. r(-2, 4), s(6, -2)
tangare [24]

Finding the slope using two points:

The formula for slope is

\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

In this case...

y_{2} =-2\\y_{1} =4\\x_{2} =6\\x_{1} =-2

^^^Plug these numbers into the formula for slope...

\frac{-2 - 4}{6 - (-2)}

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^^^Can be further simplified to...

\frac{-3}{4}

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Hope this helped!

~Just a girl in love with Shawn Mendes

5 0
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4x^2+32x+8 is a perfect square trinomial true or false
fgiga [73]

Answer:

The trinomial 4x^2+32x+8 is not a perfect square trinomial because the third term is not a square.

Step-by-step explanation:

A trinomial is an expression composed of three terms that are joined together by addition or subtraction.

A perfect square is created when a value is multiplied times itself. Thus, (a + b)(a + b) = a^2 + 2ab + b^2, making the trinomial a² + 2ab + b² a perfect square.

To show that a trinomial is a perfect square you must show that if the first and third terms are squares, figure out what they're squares of. Multiply those things, multiply that product by 2, and then compare your result with the original quadratic's middle term. If you've got a match (ignoring the sign), then you've got a perfect-square trinomial.

The trinomial 4x^2+32x+8 is not a perfect square trinomial because the third term is not a square.

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