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matrenka [14]
3 years ago
7

One hose can fill a small swimming pool in 90 minutes. a larger hose can fill the pool in 60 minutes. how long will it take the

two hoses to fill the pool working together ?
Mathematics
1 answer:
Ludmilka [50]3 years ago
6 0
Given that one hose can fill a pool in 90 min and another can fill the pool in 60 minutes, to get how long the 2 hoses will take to fill the pool given that they are running together, we shall simply get the GCF of the times takes by the hoses, thus we shall have:
Multiples of 60 are
2,2,3,5
Multiples of 90
2,3,3,5
thus the GCF is: 2×3×5=30
Thus the two hoses working together will take 30 min

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Solve 2x^2– 5= 3x with the quadratic formula
Gwar [14]

Answer:

see below

Step-by-step explanation:

2x^2-3x-5=0

Well a=2, b=-3, c=-5

x=\frac{-(-3)+-\sqrt{(-3)^2-4(2)(-5)} }{2*2}\\\\ x_1=\frac{3+\sqrt{49} }{4} =\frac{3+7}{4} =\frac{10}{4} =\frac{5}{4} \\\\x_2=\frac{3-\sqrt{49} }{4} =\frac{3-7}{4}=\frac{-4}{4} =-1

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Part a: the center of the circle
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Answer:

Center is N

Diameter is MO

3 radii is ( pn, on mn)

Step-by-step explanation:

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Determine if the two lines are perpendicular. Explain how you know by calculating the slopes and comparing the slopes in 2-3 sen
statuscvo [17]

Answer:

The two lines are not perpendicular because the product of their slopes is not equal to -1

Step-by-step explanation:

The product of the slopes of the perpendicular line is -1

  • That means one of them is and additive and multiplicative inverse of the other
  • If the slope of one of them is m, then reciprocal m and change its sign, then the slope of the perpendicular is -\frac{1}{m}
  • The formula of the slope is m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Let us find from the graph two points lie on each line and calculate the slopes of them and then find its product if the product is -1, then the two lines are perpendicular

From the graph

∵ The red line passes through points (4 , 0) and (0 , 8)

∴ x_{1} = 4 and x_{2} = 0

∴ y_{1} = 0 and y_{2} = 8

∵ m=\frac{8-0}{0-4}=\frac{8}{-4}=-2

∴ The slope of the red line is -2

∵ The blue line passes through points (5 , 5) and (0 , -5)

∴ x_{1} = 5 and x_{2} = 0

∴ y_{1} = 5 and y_{2} = -5

∵ m=\frac{-5-5}{0-5}=\frac{-10}{-5}=2

∴ The slope of the blue line is 2

∵ The products of the slopes of the two lines = -2 × 2 = -4

∴ The product of the slopes of the lines not equal -1

∴ The two lines are not perpendicular

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