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Angelina_Jolie [31]
3 years ago
11

Which of the following statements is true about the equations 3m + 7n=8 and 8y+4z=7?

Mathematics
1 answer:
Aneli [31]3 years ago
4 0
Both equations have a coefficient of 8
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112.5 I believe is the right answer
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What is the solution to 2x^2+8x=x^2-16?<br> x=4<br> x=-2<br> х=2<br> х=4
TEA [102]

Question: What is the solution to 2x^2+8x=x^2-16?

Answer: x=-4 is what I got I'm not sure if u meant to put one of the 4's as -4 but yeah I got -4 and did it twice and got -4 again. Hope that helped.

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Identify the word form of this number: 139,204,539,912
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One hundred thirty-nine billion, two hundred four million, five hundred thirty-nine thousand, nine hundred twelve.

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5 0
3 years ago
Which equation represents a parabola that has a focus of (0, 0) and a directrix of y = 4?
Ray Of Light [21]

Answer:

x2=−8(y−2)

Step-by-step explanation:

Parabola is a locus of a point which moves at the same distance from a fixed point called the focus and a given line called the directrix.

Let P(x,y) be the moving point on the parabola with  

focus at S(h,k)= S(0,0)  

& directrix at y= 4

Now,  

|PS| = √(x-h)2 + (y-k)2

|PS| = √(x-0)2 + (y-0)2

|PS| = √ x2 + y2

Let ‘d’ be the distance of the moving point P(x,y) to directrix y- 4=0

  •   d= |ax +by + c|/ √a2 + b2
  •   d= |y-4|/ √0 + 1
  •   d= |y-4| units.

equation of parabola is:  

  • |PS| = d
  • √ x2 + y2 = |y-4|

Squaring on both sides, we get:  

  • x2 + y2 = (y-4)2
  • x2 + y2 = y2 -8y + 16
  • x2 = - 8y + 16
  • x2 = -8 ( y - 2)  

This is the required equation of the parabola with focus at (0,0) and directrix at y= 4.

8 0
3 years ago
Read 2 more answers
13. A car travels at a speed of 55 km/h. Find the distance travelled by the car in 12minutes 30 seconds, giving your answer in m
Sedbober [7]

Answer:

11.46 meters

Step-by-step explanation:

12min 30sec = 12.5min

55km/h * 12.5min * 1h/60min = 11.4583333333meters

8 0
3 years ago
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