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ICE Princess25 [194]
3 years ago
10

What is the vertex and p-value of this parabola?

Mathematics
1 answer:
kobusy [5.1K]3 years ago
5 0

Answer:

  • vertex: (-7, 5)
  • p = 2

Step-by-step explanation:

The vertex is halfway between the focus and the directrix:

  ((-7, 7) +(-7, 3))/2 = (-14, 10)/2 = (-7, 5) . . . . vertex coordinates

The value of p is the distance from the focus to the vertex:

  7 -5 = 2 = p

In vertex form, the equation of the parabola is ...

  y = 1/(4p)(x -h)^2 +k . . . . . . vertex (h, k)

  y = 1/8(x +7)^2 +5

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What is 68 percent of 575?
Travka [436]

Answer:

391

Step-by-step explanation:

First you must make the fraction a decimal so you can use it in an equation.

To do so move the . over to the left twice.

.68

Now multiply 575 by .68

575 x .68=391

7 0
3 years ago
Read 2 more answers
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3 years ago
Write the ratio 36 computers for every 6 students in 3 ways
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Step-by-step explanation:

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6 0
2 years ago
The LCM of 2 numbers is 60 and 1 of the numbers is 7 less than the other number. What are the numbers?
Phoenix [80]
Let's represent the two numbers by x and y.  Then xy=60.  The smaller number here is x=y-7.

Then (y-7)y=60, or y^2 - 7y - 60 = 0.  Use the quadratic formula to (1) determine whether y has real values and (2) to determine those values if they are real:

discriminant = b^2 - 4ac; here the discriminant is (-7)^2 - 4(1)(-60) = 191.  Because the discriminant is positive, this equation has two real, unequal roots, which are
        -(-7) + sqrt(191)
y = -------------------------
             -2(1)

and 

        -(-7) - sqrt(191)
y = ------------------------- = 3.41 (approximately)
             -2(1)

Unfortunately, this doesn't make sense, since the LCM of two numbers is generally an integer.


Try thinking this way:  If the LCM is 60, then xy = 60.  What would happen if x=5 and y=12?  Is xy = 60?  Yes.  Is 5 seven less than 12?  Yes.






5 0
3 years ago
Estimate. Then record the product $149 x 5
pashok25 [27]
149 will be rounded to 150 so 150×5= 750
4 0
3 years ago
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