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madreJ [45]
3 years ago
6

Convert 1 17/61 to an improper fraction

Mathematics
2 answers:
dedylja [7]3 years ago
8 0

Answer:

78/61

Step-by-step explanation:

61 \times 1 + 17 \div 61

ikadub [295]3 years ago
7 0

Answer:

78/61 would be 1 17/61 as a improper fraction.

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Find a third-degree polynomial equation with rational coefficients that has roots –4 and 2 + i
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If it has rational coefients and is a polygon
if a+bi is a root then a-bi is also a root

the roots are -4 and 2+i
so then 2-i must also be a root


if the rots of a poly are r1 and r2 then the factors are
f(x)=(x-r1)(x-r2)

roots are -4 and 2+i and 2-i

f(x)=(x-(-4))(x-(2+i))(x-(2-i))
f(x)=(x+4)(x-2-i)(x-2+i)
expand
f(x)=x³-11x+20
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Read 2 more answers
Find x Round to the nearest tenth
nikdorinn [45]

Answer:

15.5

Step-by-step explanation:

So the formula here is the square of the tangent length is equal to the product of the exterior part of the secant line and total length of the secant.

So that means we have x^2=10(14+10).

After simplifying the right hand side we have the equation is x^2=10(24) or x^2=240.

To get rid of the square on the x, we square root both sides.

x=sqrt(240)

x=15.49193338

To the nearest tenths, the answer is x=15.5

So 15.5 inches is the length of x.

3 0
3 years ago
There are 144 pencils in a box if each member of the class gets 8 pencils there will be in no pencils left over how many members
aivan3 [116]
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6 0
3 years ago
Choose the correct conic section to match the equation. 16x 2 - y 2 = 16 parabola hyperbola ellipse circle
Nastasia [14]

The equation 16x² - y² = 16 represents a hyperbola ⇒ 2nd answer

Step-by-step explanation:

The general form of the equation of a conic is

Ax² + Bxy + Cy² + Dx + Ey + F = 0, where A, B, C, D, E, and F

are constants

To find the type of conic that the equation represent find B² - 4AC

1. B² - 4AC < 0 and the conic is exist, then it's ellipse or circle,

   if A = C, (non-zero) then it is a circle, if A ≠ C, then it is an ellipse

2. B² - 4AC = 0 and the conic is exist, then it's a parabola

3. B² - 4AC > 0 and the conic is exist, then it's a hyperbola

∵ The equation is 16x² - y² = 16

- Subtract 16 from both sides

∴ 16x² - y² - 16 = 0

∵ Ax² + Bxy + Cy² + Dx + Ey + F = 0

∴ A = 16 , B = 0 , C = -1 , D = 0 , E = 0 , F = -16

∵ B² - 4AC = (0)² - 4(16)(-1)

∴ B² - 4AC = 64

∵ 64 > 0

∵ B² - 4AC > 0

∴ The conic is hyperbola

The equation 16x² - y² = 16 represents a hyperbola

Learn more:

You can learn more about hyperbola in brainly.com/question/4054269

#LearnwithBrainly

7 0
3 years ago
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