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kramer
3 years ago
11

Write the equation of the line in point-slope form that passes through (5, -1) and has a slope of 2/3

Mathematics
1 answer:
kolezko [41]3 years ago
5 0

Answer:

y-(-1)=2/3(x-5)

Step-by-step explanation:

Point slope form is

y-y_1=m(x-x_1) where m is the slope, x_1 is the x coordinate of a point that the line passes through, and y_1 is the y coordinate of a point the line passes through.

Substituting, we get

y-(-1)=2/3(x-5)

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Olivia places her pet frog on a line to observe the frog’s motion. The line is divided into sections that measure 1 centimeter e
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3 years ago
a wagon is pulled at speed of 40.0 m/s by a horse exerting 1800 newton horizonal force what is the power of horse
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Answer:

The power of horse is:  P = 72000 W

Step-by-step explanation:

Given

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  • v = 40.0 m/s

To determine

P = ?

Using the formula

\:\:\:P=\overrightarrow{F\cdot }\overrightarrow{v}

The  ⋅  in the formula represents a scalar product, defined by:

\overrightarrow{v\cdot }\overrightarrow{w}=|v||w|cos\:\theta

The angle Ф is zero because F and v are are parallel.

Thus the cosine is 1.

Therefore,

P = (1800) (40.0)

P = 72000 W

Hence, the power of horse is:  P = 72000 W

3 0
2 years ago
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klio [65]

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7 0
2 years ago
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Water and orange squash is mixed in the ratio 11 : 2 Find how much water is needed to dilute 240 cl of orange squash
PIT_PIT [208]

Answer: 1,320 cl

Step-by-step explanation:

Water and orange squash are mixed in the ratio 11 : 2.

This means that at their simplest if using cl, it would take 11cl of water and 2 cl of orange squash for a proper dilution.

If 240 cl of orange sqaush is used and you need to find the amount of water, use direct proportion with x as water.

11     :    2

x     :     240

Cross-multiply:

2x = 11 * 240

x = 2,640 / 2

= 1,320 cl

7 0
2 years ago
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