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densk [106]
3 years ago
15

A line includes the points (0,0) and (1,5). What is its equation in slope-intercept form

Mathematics
1 answer:
Kipish [7]3 years ago
5 0

9514 1404 393

Answer:

  y = 5x

Step-by-step explanation:

The point (0, 0) tells you the line goes through the origin, so represents a proportional relationship. The slope is simply the ratio of y to x, or 5/1 = 5.

The equation of the line is ...

  y = mx + b . . . . . . line with slope m and y-intercept b

  y = 5x . . . . . . . . . . line with slope 5 and y-intercept of 0 (the origin)

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Answer:

Step-by-step explanation:

x + 9 = -16

Subtract 9 form both sides

x + 9 - 9 = - 16 - 9

x = -25

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Answer:

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3 years ago
1 over the square root of 8 = 4^(m − 2)?
andrew11 [14]

Answer:

5.5

Step-by-step explanation:

\frac{1}{ \sqrt{8} }  =  {4}^{(m - 2)}  \\

Squaring both sides

\frac{1}{8}  =  {4}^{2(m - 2)} \\   \frac{1}{8} =   {4}^{2}   \times  {4}^{(m - 2)}  \\  \frac{1}{8 \times  {4}^{2} }  =  {4}^{(m - 2)}  \\   \frac{1}{8 \times 16}  =  {4}^{(m - 2)}  \\  \frac{1}{128}  =  {4}^{(m - 2)}  \\  log_{4}(128)  = (m - 2) \\  \frac{7}{2}  = m - 2 \\ m =  \frac{11}{2}  = 5.5

7 0
4 years ago
Eight times the difference of a number and 2 is the same as 3 times the sum of the number and 3. write and solve the equation
Zigmanuir [339]
X is the number:
Therefore, the equation is:
8(x-2)=3(x+3)

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Answer: the equation is: 8(x-2)=3(x+3), and the number is: 5
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