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Aneli [31]
3 years ago
6

What is the slope of the line that contains the points (9,-4) and (1,-5)?

Mathematics
2 answers:
marissa [1.9K]3 years ago
6 0

Answer:

B

Step-by-step explanation:


cupoosta [38]3 years ago
4 0

Answer:   \bold{D.\ \dfrac{1}{8}}

<u>Step-by-step explanation:</u>

Plug the given coordinates (x₁, y₁) = (9, -4) and (x₂, y₂) = (1, -5) into the slope formula to find the slope (m):

m=\dfrac{y_2-y_1}{x_2-x_1}\\\\m=\dfrac{-5-(-4)}{1-9}\\\\.\quad =\dfrac{-5+4}{-8}\\\\.\quad =\dfrac{-1}{-8}\\\\.\quad =\dfrac{1}{8}


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Factor completely 5a2 + b.<br><br> Prime<br><br> a(5a + b)<br><br> b(5a2)<br><br> ab(5a + 1)
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The answer is A<span>.</span>
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17. ralph is 3 times as old as sarah. in 4 years ralph will only be twice as old as sara will be then. find ralph’s age now.
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Please help ASAP and help me find what the value of x is
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Manuela is having mugs made for a fundraiser. The Cup Company will make them for $4 each plus a $30 set-up charge. Mugs Are Us w
amm1812

Answer:

The price will be the same for both companies at 60 mugs

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

  • m is the rate of change
  • b is the fixed amount

Assume that the number of mugs is x and the total cost of them is $y

∵ The Cup Company will make them for $4 each plus a $30

   set-up charge

∴ The cost per mug = $4

∴ m = 4

∴ The fixed amount = $30

∴ b = 30

∵ x is the number of mugs

∵ y is the cost of them

→ Substitute the values of m and b in the form of the equation

∴ y = 4x + 30 ⇒ (1)

∵  Mugs Are Us will make them for $4.50 each with no set-up charge

∴ The cost per mug = $4.50

∴ m = 4.5

∴ The fixed amount = 0

∴ b = 0

∵ x is the number of mugs

∵ y is the cost of them

→ Substitute the values of m and b in the form of the equation

∴ y = 4.5x + 0

∴ y= 4.5x ⇒ (2)

∵ The price be the same for both companies

→ Equate the right sides of (1) and (2)

∴ 4.5x = 4x + 30

→ Subtract 4x from both sides

∵ 4.5x - 4x = 4x - 4x + 30

∴ 0.5x = 30

→ Divide both sides by 0.5

∴ x = 60

∴ The price will be the same for both companies at 60 mugs

4 0
2 years ago
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