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Ymorist [56]
2 years ago
13

11. What is the approximate distance

Mathematics
1 answer:
nekit [7.7K]2 years ago
6 0
A is the approximate distance
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1,-2,3,-4,5... <br><br> what’s the next two numbers in the pattern?
MrMuchimi

Answer:

The two numbers following 1,-2,3,-4,5...  are -6 and 7.

Step-by-step explanation:

index:   1   2   3   4   5 ....

value:    1  -2  3  -4   5

Let the index be n.  Then the first term is a(1), the secon is a(2), and so on.

a(2) = 2*(-1)^(2-1) = 2*(-1) = -2 (correct)

a(3) = 3*(-1)^(3-1)   =  3*(-1)^2 = 3 (correct)

a(4) = 4*(-1)^(4-1)    = 4*(-1)^3 = -4 (correct)

So the general formula for a(n)  is:    a(n)=n(-1)^(n-1)

Thus,

a(5) = 5(-1)^4 = 5

a(6) = 6(-1)^5 = -6

a(7) = 7(-1)^6 = 7

The "next two numbers in the pattern" are -6 and 7.  The first 7 numbers are

1,-2,3,-4,5, -6, 7

4 0
3 years ago
Write the equation of the line in fully simplified slope-intercept form.
kodGreya [7K]

Answer:

y = -x - 8

Step-by-step explanation:

Slope is -1 and y intercept is -8

4 0
3 years ago
Directions:Simplify the following monomials.SHOW ALL STEPS!
Mandarinka [93]

Answer:

<u>7. Ans</u>;

\frac{6 {a}^{5}  {b}^{7} }{ - 2 {a}^{3} {b}^{7}  }   =  \frac{2 {a}^{3} {b}^{7}(3 {a}^{2} )  }{ - 2 {a}^{3}  {b}^{7} }  =  - 3 {a}^{2}

___o____o___

<u>8. Ans</u>;

\frac{ - 20 {x}^{3}  {y}^{2} }{ - 5 {x}^{3}y }  =  \frac{ - 5 {x}^{3}y(4y) }{ - 5 {x}^{3}y }  = 4y

___o___o___

<u>9. Ans</u>;

\frac{ - 16 a {b}^{4}  }{4 {b}^{3} }  =  \frac{4 {b}^{3}( - 4ab) }{4 {b}^{3} }  =  - 4ab

____o____o____

<u>10. Ans;</u>

\frac{21 {m}^{8}  {n}^{5} }{27 {m}^{5} {n}^{4}  }  =  \frac{3 {m}^{5} {n}^{4}(7 {m}^{3} n)  }{3 {m}^{5} {n}^{4}(9)  }  =  \frac{7 {m}^{3}n }{9}

___o___o___

<u>11. Ans;</u>

\frac{ - 15 {x}^{5}  {y}^{4} }{45x {y}^{3} }  =  \frac{ 15x {y}^{3} ( -  {x}^{4} y)}{15x {y}^{3}(3) }  =  -  \frac{ {x}^{4}y }{3}

___o___o___

<u>12.Ans;</u>

\frac{7 {p}^{2}  {q}^{2} }{14 {p}^{2} {q}^{2}  }  =  \frac{7 {p}^{2} {q}^{2}  }{7 {p}^{2} {q}^{2} (2) }  =  \frac{1}{2}  = 0.5

I hope I helped you^_^

7 0
3 years ago
Read 2 more answers
check my answers please solve the following equation. 2(h - 8) - h = h - 16 h = 8 h = -8 infinitely many solutions no solution
Diano4ka-milaya [45]
Sorry that is wrong, you distribute the 2 to the h and the 8 so it would be 2h-16-h. that would be h-16 on the left side,
3 0
3 years ago
Wha) is the image of the point (9,2) after a rotation of 90° counterclockwise about the origin?
ElenaW [278]

Given the point:

(x, y) ==> (9, 2)

Let's find the new point of the image after a rotation of 90 degrees counterclockwise about the origin.

To find the image of the point after a rotation of 90 degrees counterclockwise, apply the rules of rotation.

After a rotation of 90 degrees counterclockwise, the point (x, y) changes to (-y, x)

Thus, we have the point after the rotation:

(x, y) ==> (-y, x)

(9, 2) ==> (-2, 9)

Therefore, the image of the points after a rotation of 90 degrees counterclockwise is:

(-2, 9)

ANSWER:

(-2, 9)

5 0
1 year ago
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