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kolezko [41]
3 years ago
14

8TH GRADE MATH ¯\_(ツ)_/¯

Mathematics
1 answer:
Nonamiya [84]3 years ago
8 0

If <em>n</em> = 0.151515…, then 100<em>n</em> = 15.151515…

Then

100<em>n</em> - <em>n</em> = 15.151515… - 0.151515…

99<em>n</em> = 15

<em>n</em> = 15/99 = 5/33

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What value is added to both sides of the equation x2 − 4x = −2 in order to solve by completing the square? 4, 2 , −2 , −4
Fiesta28 [93]
X^2 - 4 x = -2
Add 4 to both sides:
x^2 - 4 x + 4 = 2
Write the left-hand side as a square:
(x - 2)^2 = 2
Take the square root of both sides:
x - 2 = sqrt(2) or x - 2 = -sqrt(2)
Add 2 to both sides:
x = 2 + sqrt(2) or x - 2 = -sqrt(2)
Add 2 to both sides:
Answer:  x = 2 + sqrt(2) or x = 2 - sqrt(2)
6 0
3 years ago
Suppose A, R, and B are collinear on AB, and AR:AB= 1/5. What are the coordinates of R?
AfilCa [17]

Answer:

R(1.6, 0)

Step-by-step explanation:

Use the formula, (x, y) = (x_1 + k(x_2 - x_1), y_1 + k(y_2 - y_1)) to find the coordinates of point R, that partition the lie segment AB into the ratio 1/5.

Let,

A(1, -1) = (x_1, y_1)

B(4, 4) = (x_2, y_2)

Thus, plug in the values as follows:

R(x, y) = (1 + \frac{1}{5}(4 - 1), -1 + \frac{1}{5}(4 -(-1))

R(x, y) = (1 + \frac{1}{5}(3), -1 + \frac{1}{5}(4 + 1)

R(x, y) = (1 + \frac{1}{5}(3), -1 + \frac{1}{5}(5)

R(x, y) = (1 + \frac{3}{5}, -1 + \frac{5}{5})

R(x, y) = (\frac{5 + 3}{5}, -1 + 1)

R(x, y) = (\frac{8}{5}, 0)

R(x, y) = (1.6, 0)

The coordinates of point R, are (1.6, 0)

7 0
4 years ago
If you solve an equation by graphing each side as a separate line, which of the following corresponds to the solution of the equ
Aleks [24]

Answer:

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Step-by-step explanation:

The solution of the system with two lines is the x-coordinate of their intersection point.

a. there is only a solution if the lines are identical

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b. both the x–coordinate and the y–coordinate of the intersection point,

  • No, only the x-coordinate is considered

c. the y–coordinate of the intersection point

  • No, only the x-coordinate is considered

d. the x–coordinate of the intersection point

  • Yes, correct
6 0
1 year ago
Read 2 more answers
Explain why it is possible that one graph could represent two different equations.
BigorU [14]

Different equations can result in identical graphs. For example, −=0

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Step-by-step explanation:

8 0
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