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mash [69]
3 years ago
5

Standard slope intercept form simplify all fractions 2y-4x=-16

Mathematics
1 answer:
Shtirlitz [24]3 years ago
4 0

Answer: y= 2x-8

Step-by-step explanation:

2y-4x=-16

2y=-16+4x

y=-8+2x

y= 2x-8

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If A={4,7,10,13,17} and B={3,5,7,9}, then which of the following statements is true
EastWind [94]

Answer:

good questing it is something

Step-by-step explanation:

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6 0
2 years ago
Please answer this question now
lidiya [134]

Answer:

C = (2,2)

Step-by-step explanation:

B = (10 ; 2)

M = (6 ; 2)

C = (x ; y )

|___________|___________|

B (10;2)            M (6;2)             C ( x; y)

So:

dBM = dMC

√[(2-2)^2 + (6-10)^2] = √[(y-2)^2 + (x - 6)^2]

(2-2)^2 - (6-10)^2 = (y-2)^2 + (x - 6)^2

0 + (-4)^2 = (y-2)^2 + (x - 6)^2

16 = (y-2)^2 + (x - 6)^2

16 - (x - 6)^2 = (y-2)^2

Also:

2*dBM = dBC

2*√[(2-2)^2 + (6-10)^2] = √[(y-2)^2 + (x - 10)^2]

4*[(0)^2 + (-4)^2] = (y-2)^2 + (x - 10)^2

4*(16) = (y-2)^2 + (x - 10)^2

64 = (y-2)^2 + (x - 10)^2

64 = 16 - (x - 6)^2 + (x - 10)^2

48 = (x - 10)^2 - (x - 6)^2

48 = x^2 - 20*x + 100 - x^2 + 12*x - 36

48 = - 20*x + 100 + 12*x - 36

8*x = 16

x = 2

Thus:

16 - (x - 6)^2 = (y-2)^2

16 - (2 - 6)^2 = (y-2)^2

16 - (-4)^2 = (y-2)^2

16 - 16 = (y-2)^2

0 =  (y-2)^2

0 = y - 2

2 = y

⇒ C = (2,2)

4 0
3 years ago
An airplane travels 6111 kilometers against the wind in 9 hours and 7911 kilometers with the wind in the same amount of time. Wh
natima [27]

Answer:

Speed of the plane in still air: 779\; {\rm km \cdot h^{-1}}.

Windspeed: 100\; {\rm km \cdot h^{-1}}.

Step-by-step explanation:

Assume that x\; {\rm km \cdot h^{-1}} is the speed of the plane in still air, and that y\; {\rm km \cdot h^{-1}} is the speed of the wind.

  • When the plane is travelling against wind, the ground speed of this plane (speed of the plane relative to the ground) would be (x - y)\; {\rm km \cdot h^{-1}}.
  • When this plane is travelling in the same direction as the wind, the ground speed of this plane would be (x + y)\; {\rm km \cdot h^{-1}}.

The question states that when going against the wind (v = (x - y)\; {\rm km \cdot h^{-1}},) the plane travels 6111\; {\rm km} in 9\; {\rm h}. Hence, 9\, (x - y) = 6111.

Similarly, since the plane travels 7911\; {\rm km} in 9\; {\rm h} when travelling in the same direction as the wind (v = (x + y)\; {\rm km \cdot h^{-1}},) 9\, (x + y) = 7911.

Add the two equations to eliminate y. Subtract the second equation from the first to eliminate x. Solve this system of equations for x and y: x = 779 and y = 100.

Hence, the speed of this plane in still air would be 779\; {\rm km \cdot h^{-1}}, whereas the speed of the wind would be 100\; {\rm km \cdot h^{-1}}.

3 0
1 year ago
Which statement is true about the parts of this expression?
olganol [36]
<span>A) The constant is 7.5.  FALSE.  7.5 is a coefficient, not a constant.

</span><span>B) The coefficients are 7.5 and -9.  FALSE.  The coefficients are 7.5, -1/9 and 2.  50, being a constant, could be regarded as a coefficient in this case.

</span><span>C) The variables are x and y.  FALSE.  There are three variables:  x, y and z.

</span><span>D) The like terms are 7.5y and 2y.  TRUE.  The variable (y) is the same in each term.</span><span>

</span>
4 0
3 years ago
Read 2 more answers
Grace is considering purchasing a phone plan. The phone plan
levacccp [35]

Answer:

211 text messages

Step-by-step explanation:

20+(m•0.10)=41.10

41.1-20=21.1÷0.1=211

5 0
2 years ago
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