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irina1246 [14]
3 years ago
15

Which situation is represented by n + 12 = 25?

Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
3 0

Answer:

B,

Step-by-step explanation:

The height of a rectangle is 12 units. The rectangle has an area greater than 25 square units. What are the possible values for the base of the

rectangle, n?

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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
2 years ago
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Can someone tell me the rate of change and the y-intercept for this graph?? Thank you
MrRissso [65]
Y-intercept is what the y is when x is 0

(0,15) when x is 0, y is 15.
y-intercept is 15.

Roc: the x is going up by 4, the y is going up by 8

Always divide the difference for y by the difference for x

8 ÷ 4 is 2

ROC is 2
5 0
3 years ago
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Helpp WITH 2ND AND 4TH LINE !
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Answer:

1. x= 11.2

2. x= 8

Step-by-step explanation:

1.

124+5x=180\\-124 -124\\5x=56\\\frac{5x}{5} = \frac{56}{5} \\ x=11.2

Check:

124+5(11.2)=180\\124+56=180\\180=180

2.

7x-6=50\\+6 +6\\7x=56\\\frac{7x}{7}  = \frac{56}{7} \\x=8

Check:

7(8)-6=50\\56-6=50\\50=50

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2 years ago
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Use the distributive property to solve each problem 5x13
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5 x 10 = 50 5 x 3 = 15 50 + 15 = 65
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The table below represents the number of hours a student worked and the amount of money the student earned. What is the initial
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I think it's (h= $6.25) because if you divide all y's by x you will get 6.25 every time. so the answer is most likely $6.25
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