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Ilya [14]
3 years ago
9

Write the formula for

Mathematics
1 answer:
Afina-wow [57]3 years ago
7 0

Answer:

<em>Equation of the  parabola    x² = -12.56 y</em>

Step-by-step explanation:

<u>Explanation</u>:-

<em>Given Y- intercept ( 0, -3.14)</em>

<em>Given Focus is ( 0 , -a) = ( 0, -3.14)</em>

<em>So  a = 3.14 center C(0,0)</em>

<em>The graph of the parabola is downwards and the axis of the parabola is Y-axis.</em>

<em>Equation of the standard parabola    x² = -4 a y</em>

<em>                                                               x² = -4 (3.14) y</em>

<em>                                                               x² = -  12.56 y</em>

<u><em>Conclusion</em></u><em>:-</em>

<em>Equation of the  parabola    x² = -12.56 y</em>

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A square dance floor has a perimeter of 120 yards. What is the length of a diagonal of the dance floor?
Crazy boy [7]

Answer:

Hey!

Your answer is C.42.4yd

Step-by-step explanation:

There are 2 ways you can work this on out...

1. Using Pythagoras Theorem...

= 30^2 + 30^2 = 1,800 (30^2=900 so you've added 2 of those to make 1,800)

= SQUARE ROOT THE ANSWER OF 1,800

\sqrt{x} 1,800= 42.42640687119285‬

TO GET A MORE PRECISE ANSWER WE ROUND IT UP TO 1 decimal place

= 42.4 yd is the diagonal length of the dance floor!!

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6 0
3 years ago
Solve this system of linear equations. Separate
Elanso [62]

Answer:

(-3, -3)

Step-by-step explanation:

1.) Rewrite the second equation so 3y is on one side of the equation:

3y=6+5x

2.) Substitute the given value of 3y (replacing 3y with 6+5x, since we know they equal each other) into the equation 17x=-60-3y

Should end up with this:

17x=-60-(6+5x)

3.) Solve 17x=-60-(6+5x)

Calculate Difference: 17x=-66-5x

Combine Like Terms: 22x = -66

Divided both sides by 22 to isolate and solve for x: -3

So We know x=-3, now we got to find the y value. We can use either the first or second equation to find y value, so lets use the second.

3y=6+5x

1.) We know that x=-3, so we can simply substitute x in the equation

3y=6+5x with -3

3y=6+5(-3)

2.) Solve 3y=6+5(-3)

Combine Like Term: 3y=6+-15

Combine Like Term Even More: 3y= -9

Divide by 3 on both sides to isolate and solve for y: y=-3

So now we know y=-3 and once again we know x=-3, so if we format that

(-3,-3)

^  ^

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4 0
3 years ago
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olga_2 [115]

Answer:

the second one I think

Step-by-step explanation:

7 0
3 years ago
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6 0
3 years ago
The length of the hypotenuse of a 30-60 -90 triangle is 14 units. what is the length of the short leg
kifflom [539]

Recall that the short leg is the side opposite the 30 degrees angle. And the ratio of the short leg to the hypotenuse is 1:2.

Let the length of the short leg be x, then,

\cfrac{x}{14}=\cfrac{1}{2}\\ \\\Rightarrow2x=14\\ \\\Rightarrow x=\cfrac{14}{2}=7

6 0
3 years ago
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