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atroni [7]
3 years ago
15

Solve each equation with the quadratic formula. 4n^2+7n-1=-4

Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
7 0
The answer i got was
n=-3/4,n=-1
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Circle a has a radius of 3 and circle b has a radius of 11. if the idstance between the center of the circles in 17, find the le
Andrews [41]
Use Pythagorean Theorem:
a² + b² = c²
"a" is one side of the right triangle.
Its length is: radius of larger circle minus radius of smaller circle: (11 - 3 = 8)
The distance between the center of the circles creates the hypotenuse (17)
8² + b² = 17²
       b² = 225
       b = 15

Answer: the length of the common external tangent is 15.

3 0
3 years ago
M is a degree 3 polynomial with m ( 0 ) = 53.12 and zeros − 4 and 4 i . Find an equation for m with only real coefficients (i.E.
Nitella [24]

Answer:

Therefore the required polynomial is

M(x)=0.83(x³+4x²+16x+64)

Step-by-step explanation:

Given that M is a polynomial of degree 3.

So, it has three zeros.

Let the polynomial be

M(x) =a(x-p)(x-q)(x-r)

The two zeros of the polynomial are -4 and 4i.

Since 4i is a complex number. Then the conjugate of 4i is also a zero of the polynomial i.e -4i.

Then,

M(x)= a{x-(-4)}(x-4i){x-(-4i)}

      =a(x+4)(x-4i)(x+4i)

      =a(x+4){x²-(4i)²}      [ applying the formula (a+b)(a-b)=a²-b²]

      =a(x+4)(x²-16i²)

      =a(x+4)(x²+16)      [∵i² = -1]

      =a(x³+4x²+16x+64)

Again given that M(0)= 53.12 . Putting x=0 in the polynomial

53.12 =a(0+4.0+16.0+64)

\Rightarrow a = \frac{53.12}{64}

      =0.83

Therefore the required polynomial is

M(x)=0.83(x³+4x²+16x+64)

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3 years ago
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belka [17]
X = 7 + staci  since 7 more cats added to x is stacis amount
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2 years ago
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Find coordinates for (-3, -6) when translated 5 units up
Leni [432]
The coordinates would be (-3,-1)

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3 years ago
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Please help.<br><br> Find the value of x
S_A_V [24]
It’s 130°, because 50+50=100 and 2x is equal to the same angel on the direct opposite side so work where you have 50. then the 4 angles should add to 360° and 360-100= 260, then you have to divide 260 by 2 because it has to be equal to both side so then 260/2=130° and to know that it’s correct add 130+130+50+50 and you get 360°!
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2 years ago
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