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Reil [10]
3 years ago
8

Find the equation of a line that passes through the points (1,-5) and (3,-6).

Mathematics
1 answer:
IrinaVladis [17]3 years ago
5 0
Y = mx + b
y = - 1/2x - 9/2
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3 years ago
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Tiffany used her debit card to buy lunch for $9.72 on Wednesday. On Thursday, she deposited $9.72 back into her account. What is
Wittaler [7]
There is no overall increase or decrease in her bank account.

She spent $9.72 and later deposited the same exact amount. 

So the over increase or decrease was $0.

I hope I've helped you! If you have any more questions let me know!

5 0
3 years ago
Every 24 hours, the earth rotates 360° about its axis. How
Usimov [2.4K]

360 degrees / 24 hours = 15 degrees per hour


150 degrees / 15 degrees per hour = 10 hours


Answer: 10 hours

8 0
2 years ago
Jenna sold 63 bracelets at one craft show and 36 and another which expression correctly applies the distributive property to sho
aev [14]

Answer:

C . 63 + 36 = 9(7 + 4)

Step-by-step explanation:

Jenna sold 63 bracelets at one craft fair and 36 bracelets at a second craft fair. Which expression correctly applies the distributive property to show equivalent expressions for the total number of bracelets she sold?

63 + 36 = (3)(21) + (9)(4)

63 + 36 = (7)(9) + (12)(3)

63 + 36 = 9(7 + 4)

63 + 36 = 3(21 + 9)

To “distribute” means to divide something or give a share or part of something.

According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

To determine the distributive property to show equivalent expression, find the common factors of 63 and 36

63 = 3, 7, 9, 21,

36 = 2, 3, 4, 6, 9, 12, 18,

Common factors of 63 and 36 are 3 and 9

Using 3

3(21 + 12)

Using 9

9(7 + 4)

3(21 + 12) is not one of the options, therefore, 9(7 + 4) is the answer

Option C gives the distributive property

63 + 36 = 9(7 + 4)

63 + 36 = 63 + 36

3 0
2 years ago
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
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