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photoshop1234 [79]
2 years ago
6

Which of the following is a proportion? 9/12 = 8/10 3/4 = 9/12 6/8 = 8/12 12/18 = 19/16

Mathematics
1 answer:
goblinko [34]2 years ago
4 0

Answer:

3/4=9/12

Step-by-step explanation:

3x3= 9

4x3= 12

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T+2/3t-1/3 I really need this question to be answered
Murrr4er [49]

<u> Equation:</u>

x(x      -     5)     +     3(x     +     5)

<u>Steps:</u>

x(x      -     5)     +     3(x     +     5)

<u>Expand:</u>

x(x     -     5 ):           x^2      -    5x

x^2    -    5x     +   3(x      +     5)

<u>Expand:</u>

3(x     +    5):        3x   +    15

x^2     -     5x     +     3x       +     15

<u>Add Similar Elements:   </u>  

-5x      +    3x    

=         -2x

Answer        x^2    -     2x      +    15    Doesn't Factor






Hope that helps!!!                                  : )


         


5 0
3 years ago
A school group wants to rent part of a bowling alley to have a party. The bowling alley costs $500 to rent, plus an additional c
Firlakuza [10]

Answer:

If there are N students, the total cost will be:

C(N) = $500 + $5*N.

And we want the amount that each student pays to be equal or less than $15.

then:

C(N)/N ≤ $15.

Then the inequality that represents this situation is:

($500 + $5*N)/N ≤ $15.

Now, let's solve this:

($500 + $5*N) ≤ $15*N

$500 ≤ $15*N - $5*N

$500 ≤ $10*N

$500/$10 ≤ N

50 ≤ N

So the minimum number of students needed is 50.

7 0
3 years ago
I need help asap
Zielflug [23.3K]

Answer:

Option 4

Step-by-step explanation:

So formula of voulme of the cube is a³

We have the side length is 6x

So sub the value in formula we get 216x³

3 0
3 years ago
Read 2 more answers
PLEASE HELP GUYS i am struggling so much, two questions
ankoles [38]

Answer: the equation of the standard parabola

1) (y-6)^2 = 4 (x-1)

The equation of the standard parabola

2) (x+5)^2 = 16(y-2)

Step-by-step explanation:

<u>Explanation </u>

<u>Parabola:-</u>

The set of points in a plane whose distance from a fixed point and a constant ratio to their corresponding perpendicular distance from a fixed straight line is a conic.

Let S be a fixed point and l be a fixed straight line from any point P,the perpendicular PM is drawn to the line 'l'

  • The locus of P such that \frac{SP}{PM} = constant
  • The fixed point  'S' is called the Focus.
  • The fixed line'l 'is called the directrix of the conic
  • The constant ratio is known as the eccentricity, denoted by 'e'
  • If e=1 , the conic is called a parabola

1) <u> Step 1</u> :-

Given the focus   S = (2,6) and directrix is x=0

we know that \frac{SP}{PM}=1

now cross multiplication , we get

SP = PM

squaring on both sides,we get

SP^{2} = PM^2

step 2:-

now using distance formula is

  • \sqrt(((x_{2}-x_{1})^2+(y_{2} -y_{1} )^2)

Given S =(2,6) and P(x,y) be any point on parabola

SP^2 = (x-2)^2+(y-6)^2........(1)

Now using perpendicular distance formula

let P(x , y ) be any point on the parabola

  • \frac{ax_{1}+by_{1}+c   }{\sqrt{a^2+b^2} }

Given the directrix is x =0 and P(x,y) be any point on parabola

PM^2 = \frac{x^2}{\sqrt{1}^2 }......(2)

equating equation(1) and equation (2), on simplification

we get (x-2)^2+(y-6)^2 = x^2.....(3)

  • apply (a-b)^2 = a^2+  b^2+2 ab

now the equation (3) is

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

now the standard form of parabola is

(y-k)^2 = 4 a(x-h)

<u>Final answer</u>:-

(y-6)^2 = 4 (x-1)

2) <u> Explanation:-</u>

<u>step 1:</u>

Given vertex of a parabola is A(-5,2) and its focus is S(-5,6)

here the given points of 'x'co- ordinates are equal

  • Therefore the axis AS is parallel to y- axis

now the standard equation of parabola

(x-h)^2 = 4 a (y-k)

now you have to find' a' value

Given vertex of a parabola is A(-5,2) and its focus is S(-5,6)

The distance of AS = \sqrt{(-5-(-5)^2+(2-6)^2}

 on simplification we get a =4

<u>Final answe</u>r :-

the vertex (h,k) = (-5,2) and a=4

(x-h)^2 = 4 a (y-k)

The standard parabola is (x+5)^2 = 16 (y-2)

5 0
3 years ago
Hottest centralisation​
dsp73

Answer:

centralisation mean a direction explain that we often  a high how well we cancan predict future actions of others.

Step-by-step explanation:

6 0
2 years ago
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