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Ilia_Sergeevich [38]
3 years ago
5

JK has endpoints at J(9, 9) and K(1, 3). Find the midpoint M of JK.

Mathematics
1 answer:
nadezda [96]3 years ago
3 0
The midpoint of JK will be the points in between the x values and the y values.

There is an easy midpoint formula that goes as follows:

M= ((x1+x2)/2, (y1+y2)/2)

Now, we go 9+1 which is 10 and divide by 2 getting 5.

For the y values we do the same- 9+3 is 12 divided by 2 is 6.

The midpoint of JK is (5,6).
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A recursive sequence is a sequence in which terms are defined using one or more previous terms that are given.
 If you know the term n of an arithmetic sequence and you know the common difference, d, you can find the term (n + 1) by tossing the recursive formula to n + 1 = a n + d

 We have then:
 5, 15, 30, 50
 an = (5/2) * (n) * (n + 1)
 Answer:
 the recursive formula for 5, 15, 30, 50, is: 
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5 0
3 years ago
Complete the steps to factor the polynomial. One root of f(x) = x³ + x² - 22x - 40 is 5. If 5 is a root of the function, then is
den301095 [7]
If one root of a cubic is known (and verified), then we can do a synthetic division and factor the remaining quadratic expression.

f(x)=x^3+x^2-22x-40
f(5)=125+25-22(5)-40=0  so x-5 is a factor

Now do the synthetic division

  5  |  +1 +1 -22 -40
      --------------------
           1  6    8    0

The resulting quadratic is x^2+6x+8 which can be factored into
(x+2)(x+4)

The complete factorization is therefore
f(x)=<span>x³ + x² - 22x - 40 = (x-5)(x+2)(x+4)</span>
6 0
3 years ago
Read 2 more answers
If f(x) = 2x ^ 2 - 5 and g(x) = x ^ 2 - 4x - 8 find (f - g)(x)
choli [55]

Answer:  (f-g)(x) is equivalent to f(x) - g(x)

So that would be (2x²-5) - (x²-4x-8) = 2x² - x² + 4x + 8 - 5 = x² + 4x + 3

Hope this helps.

5 0
2 years ago
A golf club manufacturer makes drivers with 4 different shaft lengths, 3 different lofts, 2 different grips and 2 different club
sertanlavr [38]
Multiply all the numbers together
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8 0
3 years ago
For which value of x is the equation 2(1+x)=x+3 true?
MArishka [77]

Answer:

x=1 satisfies the equation.

Step-by-step explanation:

We need to manipulate this equation to isolate and solve for x. See my work below:

2(1+x)=x+3\\2+2x=x+3\\2+2x-2=x+3-2\\2x=x+1\\2x-x=x+1-x\\x=1

Please let me know if you have any other questions about this or anything else.

Thanks!

4 0
3 years ago
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