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stellarik [79]
3 years ago
6

Three baseballs players are playing catch. Jackie is directly south of Katy and directly west of Scott. Jackie and Scott and 8 m

eters apart and Scott and Katy are 9 meters apart. How far apart are Jackie and Katy? If necessary round to the nearest tenth. Btw i did this using pythagorean theorem i know the answer is either 11.4 or 4.1 would appreciate if you could help
Mathematics
1 answer:
Luden [163]3 years ago
7 0

Answer:

4.1m

Step-by-step explanation:

You need to draw a diagram to make it more clear.

Since you know that Jackie is south of Katy and west of Scott, you will find that the distance between Scott and Katy is the hypotenuse of the triangle. Therefore, you can solve the problem like this:

c^2 = a^2 + b^2

a^2 = c^2 - b^2

a^2 = 9^2 - 8^2

a = √17

a = 4.1

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Lapatulllka [165]

Answer:

x=0 or x= -3/2

Step-by-step explanation:

Step 1: Subtract 11x from both sides.

24x4+92x−11x=11x−11x

24x4+81x=0

Step 2: Factor left side of equation.

3x(2x+3)(4x2−6x+9)=0

Step 3: Set factors equal to 0.

3x=0 or 2x+3=0 or 4x2−6x+9=0

x=0 or x= -3/2

5 0
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gayaneshka [121]

Answer:

The slope is 3

Step-by-step explanation:

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8 0
3 years ago
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Help and show work for #9
GuDViN [60]

Answer: 11,304mi^2

We're finding area of a circle.

A = pi*r^2

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5 0
4 years ago
Will someone please help me here
motikmotik

Both pictures have a right triangle. Its hypotenuse = 5,

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). If a, ß are zeroes of the quadratic polynomial p(x)=kx²+4x+4 such
natta225 [31]

Answer:

The values of k are 2/3 and -1

Step-by-step explanation:

Product of zeros = αβ= constant  / coefficient of x^2 =  4/k

Sum of zeros =α+β = - coefficient of x / coefficient of x^2= -4/k

Given

Consider a= α and b= β

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(\alpha)^2 + (\beta)^2 can be written as (\alpha)^2 + 2(\alpha)(\beta) + (\beta)^2 if we add \pm 2 (\alpha)(\beta) in the above equation.

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(\alpha + \beta)^2 -2(\alpha)(\beta)

Putting values of αβ and α+β

(\frac {-4}{k})^2 -2( \frac {4}{k}) = 24\\\frac {16}{k^2} - \frac {8}{k} = 24\\Multiplying\,\, the \,\, equation\,\, with\,\, 8K^2\\ 2 - k= 3K^2\\3k^2-2+k=0\\or\\3k^2+k-2=0\\3k^2+3k-2k-2=0\\3k(k+1)-2(k+1)=0\\(3k-2)(k+1)=0\\3k-2=0 \,\,and\,\, k+1 =0\\k= 2/3 \,\,and\,\, k=-1

The values of k are 2/3 and -1

8 0
4 years ago
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