MATHEMATICS MIDDLE SCHOOL

Please help!!Find the standard form of the equation of the parabola with a focus at (0, -3) and a directrix at y = 3.

Answers

Answer 1

Answer:

The Standard form of the equation of the Parabola using Focus F(0,-a) and the directrix y=a is given by

$x^2=-4ay$

To Find the standard form of the equation of the parabola with a focus at (0, -3) and a directrix at y = 3:

Here a=3, Plug in a=3 in $x^2=-4ay$

Thus we get

$x^2=-4(3)y\n x^2=-12y$

which is the standard form of the equation of the parabola.

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A map has a scale of 1 cm to 16 km.On a map, the distance between York and London is 23.1 cm.
What is the real distance, in km, between York and London?
km

Answers

1cm = 16km

1cm • x = 23.1cm
x = 23.1

16km • 23.1 = 369.6km

The real distance is 369.6km.

I have so hard questions please help

Answers

Answer:

A 1

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7*7*7*7*7*7

Step-by-step explanation:

(7^3)^-2

We know that a^b^c = a^ (b*c)

7^(3*-2)

7^ -6

The negative exponent move it to the denominator

1/7^6

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7*7*7*7*7*7

Combine like terms to create an equivalent expression. 20 (-1.5r + 0.75)

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20(-1.5r+0.75)
use the distributive property
-30r+15

1/2 2/4 3/6 What do you notice about the ratios?

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if you were to simplify them, they would all equal 1/2
1/2=1/2
2/4=2/2 times 1/2=1 times 1/2
3/6=3/3 times 1/2=1/2
they all are ratios of 1 to 2

The first thing i noticed was that each ratio began from adding one each time. the second part began from the 2's table.
Also these ratios are equal ratios.
,Therefore 3 2 1
6 , 4 , 2 are all equal ratios

Emily designed a robot that could climb down steps. She drew a graph to show the results from a test of her new robot. The graph shows the number of steps remaining over time.Complete the equation that represents Emily’s situation.

y = __ x + ___