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lapo4ka [179]
3 years ago
11

The derivation for the equation of a parabola with a vertex at the origin is started below. = (x)2 + (y – p)2 = (0)2 + (y + p)2

x2 + y2 – 2py + p2 = y2 + 2py + p2 If the equation is further simplified, which equation for a parabola does it become? x2 = 4py x2 = 2y2 + 2p2 y2 = 4px y2 = 4py
Mathematics
2 answers:
LUCKY_DIMON [66]3 years ago
6 0

Answer:A. x2=4py

Step-by-step explanation:

Neko [114]3 years ago
4 0
Correct Answer: First Option

The given expression is

x^{2} + y^{2} -2py+ p^{2}= y^{2} +2py+ p^{2}

Simplifying the expression we get:

x^{2}-2py= 2py \\  \\ 
 x^{2} =2py+2py \\  \\ 
 x^{2} =4py
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Determine whether argument is valid<br> 12. P-&gt;<br> p<br> q ܆܇
Alik [6]

Answer:

I think you meant P\geq p*q

It would false

Step-by-step explanation:

4 0
2 years ago
Math question! Help! :)
lisov135 [29]
I don't even get this
8 0
3 years ago
An elevator can hold a maximum of 1500 pounds. An average child weighs 75 pounds and the average adult weighs 150 pounds. The el
CaHeK987 [17]

<u>Let's take this problem step-by-step</u>:

<u>Let's first set up some variables</u>:

  • c: # of children
  • a: # of adults

<u>Let's examine the information given:</u>

  • Elevator can hold a maximum of 1500 pounds

          ⇒ average child is 75 pounds

          ⇒ average adult is 150 pounds

                 ⇒<em> therefore</em>: 75c + 150a\leq 1500

  • Elevator can fit no more than 14 people

          ⇒ <em>therefore</em>: c + a \leq 14

<u>Let's graph the equations</u>:

 75c+150a\leq 1500\\c+a\leq 14

    ⇒ look at the image attached

<u>The point at which the two graphs intersect:</u>

  ⇒ <em>is the solution that represents the amount of children and adults and </em>

<em>       their combine weight</em>

<em />

<u><em>With the horizontal axis being the # of children and vertical axis being the # of adults</em></u><em>:</em>

<em>  ⇒ the </em><em>solution is 8 children and 6 adults</em>

<em></em>

<u>Answer: 8 children and 6 adults</u>

<u></u>

Hope that helped!

<em />

               

7 0
2 years ago
If a=8 and b=5 and x=4 and y=6m -2 what is the value of m ?
Serga [27]

Answer:

m = 2

Step-by-step explanation:

Given:

x = 4

y = 6m - 2

a = 8

b = 5

Required:

Value of m

SOLUTION:

x and y are segments of a chord divided when it intersects another chord that also has segments a and b.

According to the Intersecting chords theorem, a*b = x*y

Thus:

8*5 = 4*(6m - 2)

Solve for m

40 = 24m - 8

40 + 8 = 24m - 8 + 8

48 = 24m

\frac{48}{24} = \frac{24m}{24}

2 = m

The value of m = 2

3 0
3 years ago
Which is larger 1 meter or 105 centimeters?
amm1812
"centi" means "hundredth". Think "cent" as in "penny". There are 100 cents or 100 pennies in a dollar.

That helps me remember that 
1 meter = 100 centimeters

The original "1 meter or 105 centimeters" turns into "100 centimeters or 105 centimeters"

At this point, it is clear that 105 is larger than 100. So 105 cm is larger than 1 meter. 
5 0
4 years ago
Read 2 more answers
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