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nordsb [41]
2 years ago
9

Lisa spends part of her year as a member of a gym. She then finds a better deal at another gym, so she cancels her membership wi

th the first gym after x months and spends the rest of the year, y months, with the second gym. The membership to the first gym cost $60, while the membership for the second gym cost $45. She ended up spending a total of $690 over the course of the year. "Drag and drop the numbers into the correct boxes to complete a system of equations to represent the situation.​
Mathematics
1 answer:
Inessa [10]2 years ago
8 0

Step-by-step explanation:

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Line p has a slope of -7/8
Alik [6]

Answer:

The slope of line q is -\frac{7}{8}.

Step-by-step explanation:

We know that line p has a slope of -\frac{7}{8}, and that line p and line q are parallel. Parallel lines always have the same slope. Thus, the slope of line q must be -\frac{7}{8} as well.  

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Solve this equation. Enter your answer in the box.<br> 13(y+7)=3(y−1)
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Y=-9 2/5

Decimal form- y= -9.4

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Is my answer choice correct ?
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The center of a hyperbola is located at the origin. One focus is located at (−50, 0) and its associated directrix is represented
leva [86]

The equation of the hyperbola is : \frac{x^{2}}{48^2}  - \frac{y^{2}}{14^2}  = 1

The center of a hyperbola is located at the origin that means at (0, 0) and one of the focus is at (-50, 0)

As both center and the focus are lying on the x-axis, so the hyperbola is a horizontal hyperbola and the standard equation of horizontal hyperbola when center is at origin: \frac{x^{2}}{a^{2}}  - \frac{y^{2}}{b^{2}}    = 1

The distance from center to focus is 'c' and here focus is at (-50,0)

So, c= 50

Now if the distance from center to the directrix line is 'd', then

d= \frac{a^{2}}{c}

Here the directrix line is given as : x= 2304/50

Thus, \frac{a^{2}}{c}  = \frac{2304}{50}

⇒ \frac{a^{2}}{50}  = \frac{2304}{50}

⇒ a² = 2304

⇒ a = √2304 = 48

For hyperbola, b² = c² - a²

⇒ b² = 50² - 48² (By plugging c=50 and a = 48)

⇒ b² = 2500 - 2304

⇒ b² = 196

⇒ b = √196 = 14

So, the equation of the hyperbola is : \frac{x^{2}}{48^2}  - \frac{y^{2}}{14^2}  = 1

5 0
3 years ago
Read 2 more answers
The horizontal change between 2 points
Mamont248 [21]

Answer:

slope is the ratio of the vertical and horizontal changes between two points on a surface or a line. The vertical change between two points is called the rise, and the horizontal change is called the run.

Step-by-step explanation:

To know the horizontal change between two points you need to know the two points.

7 0
2 years ago
Read 2 more answers
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