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Darya [45]
3 years ago
15

Irect Variation

Mathematics
1 answer:
Anit [1.1K]3 years ago
4 0

For this case we have to by definition, if "y" varies directly with "x" then it is true that:

y = kx

Where:

k: Is the constant of proportionality

We find the constant "k" according to the given data:

14 = k (-4)\\k = - \frac {14} {4} = -\frac {7} {2}

Thus, the constant of proportionality is - \frac {7} {2}.

Now, we find the value of "y" when x = -6:

y = - \frac {7} {2} (- 6)\\y = \frac {42} {2}\\y = 21

Thus, whenx = -6, the value of y is 21.

ANswer:

y = 21

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Please help it would be a greatly supported.
USPshnik [31]

Answer:

  D.  N = w² + 8w + 12

Step-by-step explanation:

The current size is w by w+4, so the area is ...

  A = w(w+4)

When each dimension is increased by 2, the new size is (w+2) by (w+4+2). The latter dimension can be simplified to (w+6). Now, the new area is ...

  N = (w+2)(w+6) = w² +8w +12 . . . . . . . matches choice D

8 0
3 years ago
Una sucesion aumenta de 0.5 en 0.5 cuales son los primeros 6 terminos si el inicial es uno ???
Tcecarenko [31]
1, 1.5, 2, 2.5, 3, 3.5

Y si no se cuenta el uno:

1.5, 2, 2.5, 3, 3.5, 4.
6 0
3 years ago
an object moves at a speed of 3/16 feet per second. what is the speed, in yards per second? (3 feet= 1 yard)
Solnce55 [7]
3 feet / 16 second * 1 yd / 3 feet
3/16 * 1/3
3*1 / 16*3
3/48
1/16 yd/sec
4 0
2 years ago
Need Help Please I'm Out Of Time ;(
vodka [1.7K]

Answer:

Total surface area = 184.86 cm²

Step-by-step explanation:

If we see the the diagram, we can find that the net of this triangular prism includes:

2 triangles each with the dimension of one side 4.3cm, second side 5.2cm and third side 6.75 cm

3 rectangles each with the dimensions of (6.75×10)cm, (5.2×10)cm and (4.3×10)cm

Surface area of triangle with a,b and c side:

s=(a+b+c)/2

Area= √s(s−a)(s−b)(s−c)

Area = 11.18cm²

For 2 triangle:

Area = 22.36cm²

Surface Area of Rectangles:

Area = (6.75×10)cm + (5.2×10)cm + (4.3×10)cm

Area = 162.5 cm²

Total surface area = area of 2 triangle + area of 3 rectangles:

Total surface area = 22.36 + 162.5

Total surface area = 184.86 cm²

8 0
3 years ago
You want to calculate the displacement of an object thrown over a bridge. Using -10 m/s^2 for acceleration due to gravity, what
MrRissso [65]

<u>Answer</u>

<em>The total displacement of the object is 320 m</em>

<u>Solution-</u>

From the formulas of mechanics,

s=ut+\frac{1}{2}at^{2}

Where,

s = displacement

u = initial velocity = 0               ( ∵ As the body was in rest in the beginning )

t = time taken = 8 s

a = acceleration = -10 m/s²      ( ∵ -ve is because of the downward motion)

Putting all the values,

s= 0 \times 8 + \frac{1}{2}(-10)8^{2} = -320 \ m ( ∵ -ve displacement means it is in downwards)

5 0
3 years ago
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