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SIZIF [17.4K]
3 years ago
15

What is the equation of the following line written in general form? (The y-intercept is -1.).

Mathematics
1 answer:
vaieri [72.5K]3 years ago
4 0

Answer:

The answer is C.

Step-by-step explanation:

In the graph above, it is a positive gradient so option A and B cannot be applied.

Next you have to look at the y-intercept where the line touches the y-axis so -1 is the y-intercept.

The slope-form equation is y = mx + b where m represents gradient amd b is y-intercept :

Option A,

- 2x - y - 1 = 0

y =  - 2x - 1 \: (incorrect \: m)

Option B,

2x + y - 1 = 0

y =  - 2x + 1 \: (incorrect \: m \: and \: b)

Option C,

2x - y - 1 = 0

y = 2x - 1 \: (correct \: m \: and \: b)

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riangle XYZ is translated 4 units up and 3 units left to yield ΔX'Y'Z'. What is the distance between any two corresponding point
tester [92]

Answer:

5 units

Step-by-step explanation:

According to the given statement  Δ XYZ is translated 4 units up and 3 units left to yield ΔX'Y'Z' which means that each point in ΔXYZ is moved 4 units up and moved 3 units left.

To find the distance of each corresponding point we will use the Pythagorean theorem which states that the square of the length of the Pythagorean of a right triangle is equal to the sum of the squares of the length of other legs

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7 0
3 years ago
9. Calcule el valor de la fuerza que experimenta un ascensor cuando levanta 150 kg en los siguientes casos: a) Cuando asciende c
GenaCL600 [577]

Answer:

a) La fuerza neta que experimenta un ascensor cuando asciende con una aceleración de 4 metros por segundo al cuadrado es 600 newtons hacia arriba.

b) La fuerza neta que experimenta un ascensor cuando desciende con una aceleración de 6 metros por segundo al cuadrado es 900 newtons hacia abajo.

c) Por la fuerza de tensión sobre el cable del ascensor.

Step-by-step explanation:

a) La fuerza neta experimentada por el ascensor (F), en newtons, es:

F = m\cdot a (1)

Donde:

m - Masa, en kilogramos.

a - Aceleración, en metros por segundo cuadrado.

Si sabemos que m = 150\,kg y a = 4\,\frac{m}{s^{2}}, entonces la fuerza neta del ascensor es:

F = m\cdot a

F = 600\,N

La fuerza neta que experimenta un ascensor cuando asciende con una aceleración de 4 metros por segundo al cuadrado es 600 newtons hacia arriba.

b) Si sabemos que m = 150\,kg y a = -6\,\frac{m}{s^{2}}, entonces la fuerza neta del ascensor es:

F = m\cdot a

F = -900\,N

La fuerza neta que experimenta un ascensor cuando desciende con una aceleración de 6 metros por segundo al cuadrado es 900 newtons hacia abajo.

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8 0
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8 in : 12 feet (this means that 8 in is made to represent 1 feet)

12 in : 12 in (this means that 12 in is made to represent 1 feet)

 

<span>After converting the variables, we can now know if the ratios are enlargement, reduction or preservation. Therefore:

1 m : 25 cm = Enlarge</span>

<span>8 in : 12 feet = Reduce
12 in = 1 ft = Preserve</span>

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