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igomit [66]
4 years ago
9

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Mathematics
1 answer:
Artyom0805 [142]4 years ago
7 0
  • Slope-Intercept Form: y = mx + b, with m = slope and b = y-intercept

So remember that <u>parallel lines have the same slope.</u> And since Line a's slope is 5/7, and line a and b are parallel to each other, this means that <u>line b's slope is 5/7.</u>

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Suzy's Sculpting gym charges a $10 application fee and $12 per month for membership. Tami's Toning does not charge an applicatio
Andreas93 [3]

Answer:

Total cost of membership will be the same for both gyms after 5 months.

Step-by-step explanation:

Given: Suzy's Sculpting gym charges a $10 application fee and $12 per month for membership.

Tami's Toning does not charge an application fee, but charges $14 per month for membership.

To find: After how many months will the total cost of membership be the same for both gyms

Solution:

Let t denotes number of months after which total cost of membership will be the same for both gyms

For Suzy's Sculpting gym,

Total charges = 10+12t

For Tami's Toning,

Total charges =14t

Now solve 10+12t=14t

10+12t=14t\\10=14t-12t\\10=2t\\t=\frac{10}{2}\\ t=5

So, total cost of membership will be the same for both gyms after 5 months.

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3 years ago
(3, -5)(0, 4)<br> Write the equation of a line using the point slope formula
Serga [27]

Answer:

y = - 3x + 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (3, - 5) and (x₂, y₂ ) = (0, 4)

m = \frac{4-(-5)}{0-3} = \frac{4+5}{-3} = \frac{9}{-3} = - 3

The line crosses the y- axis at (0, 4) ⇒ c = 4

y = - 3x + 4 ← equation of line

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Amy buys two shirts. One shirt costs $12.95 and the other costs $15.98. How much money does Amy spend altogether
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Answer:

$28.93

Step-by-step explanation:

 12.95+15.98 = $28.93

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