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Schach [20]
3 years ago
10

What is the slope of the line that passes through the points (-1, 2) and (-4, 3)?

Mathematics
1 answer:
Rus_ich [418]3 years ago
5 0

Answer: -1/3

Step-by-step explanation:

Slope is the difference between the y coordinate points divided by the x coordinate points

We have (-1, 2) and (-4, 3)

Slope = 3 - 2/ -4 - (-1)

Slope = -1/3

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Find the value of 15.0 N in pounds. Use the conversions 1slug=14.59kg and 1ft=0.3048m .
Sliva [168]

The value of 15.0 N in pounds = 3.375 lb

<h3><em>Further explanation </em></h3>

The derivative magnitude is a quantity derived from the principal amount

7 main quantities have been determined based on international standards, namely:

  • 1. Length, meters (m)
  • 2. Time, second (s)
  • 3. Mass, kilograms (kg)
  • 4. Temperature, kelvin (K)
  • 5. Light intensity, candela (cd)
  • 6. Electric current, ampere (A)
  • 7. Amount of substance, mol (m)

Newton (N) is one unit of force (F) which is a quantity derived from mass (m), length (l) and time (s)

Newton can be expressed in terms of Kg m / s²

Formula used:

F = m. a

N = kg. m / s²

In the British system there are units of slug, feet, and pounds so that the unit of force becomes:

F = m. a

Lb = slug. ft / s²

The relationship between the two-unit systems above is:

1 kg = 0.0685 slug

1 slug = 14.59 kg

1 newton = 0.225 lb

1 lb = 4,448 newtons

1 ft = 0.3048 m

So if we change 15 N to lb by using slug and ft

15 N = 15 * (1 / 14.59) slug * (1 / 0.3048) ft / s²

15 N = 3,375 slug ft / s ²

15 N = 3,375 lb

or we convert directly:

15 N = 15 * 0.225 lb

15 N = 3,375 lb

<h3><em>Learn more </em></h3>

yard conversion

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the quantity 0.0075 meters expressed in centimeters

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A vineyard has 145 acres of Chardonnay grapes

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Keywords: slug, Newton, feet, kg, pound

6 0
3 years ago
Edward sliced 8 cakes. Each chocolate cake had 8 slices and each lemon cake had 4 slices. If Edward made 48 slices in total, how
iVinArrow [24]
Edward sliced 6 chocolate cakes and 12 lemon cakes
3 0
3 years ago
After a long practice, the marching band drank an entire 15 gallon cooler of water. The foot ball team drank 1/3 less than that.
astra-53 [7]

Answer:

the football team drank 10 gallons of water

Step-by-step explanation:

if the football team drank 1/3 less than 15, 1/3 of 15 is 5 so you would then subtract 5 from 15 and you get 10

6 0
3 years ago
The height of an object tossed upward with an initial velocity of 120 feet per second is given by the formula h = −16t2 + 120t,
AleksAgata [21]

Answer:

7.5 seconds

Step-by-step explanation:

h =  - 16 {t}^{2}  + 120t \\  \because \:  we \: have \: to \: find \:  the  \:  time  \: required  \:  \\ for \:  the \:  object \:  to \:  return to \:  its  \:  \\ point \:  of  departure. \\  \therefore \: plug \: h = 0 \: in \: the \: given \: euation. \\  \therefore \: 0 =   - 16 {t}^{2}  + 120t \\ \therefore \:16 {t}^{2}  - 120t = 0 \\ \therefore \:8t(2t - 15) = 0 \\ \therefore \:8t = 0 \:  \: or \:  \: (2t - 15) = 0 \\ \therefore \:t =  \frac{0}{8}  \: or \: t =  \frac{15}{2}  \\ \therefore \:t = 0 \: or \: t = 7.5 \\  \because \: t = 0 \: is \: not \: possible \\ \huge \purple{ \boxed{  \therefore \: t = 7.5 \: seconds}}

Thus, the time required for the object to return to its point of departure is 7.5 seconds.

4 0
3 years ago
In science class, Savannah measures the temperature of a liquid to be 34 ∘ 34∘   Celsius. Her teacher wants her to convert the t
Pavlova-9 [17]
93.2 degrees Fahrenheit
4 0
3 years ago
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