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3 years ago

11

How much higher is 500 m than -400 m?

2 answers:

nekit [7.7K]3 years ago

5 0

Answer: 900 meters

Step-by-step explanation:

Think of it like this. Make a number line. Start with the positive side, from zero to 100 to 200 all the way up to 500. Then go back to zero, and count by negative 100 until you get to negative 400. Then start from -400 and count by 100s till the 500 mark. You'll get 900. (don't forget to label meters!)

kifflom [539]3 years ago

4 0

Answer:

100

Step-by-step explanation:

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3 years ago

A parabola can be drawn given a focus of (8, 6) and a directrix of x=4 Write the equation of the parabola in any form. Answer:

Alexeev081 [22]

Answer:

The equation of the parabola in vertex form is $x-6 = \frac{1}{16}\cdot (y-6)^{2}$ .

Step-by-step explanation:

Since the directrix is of the $x = a$ , then the equation of the parabola in vertex form is of the form:

$x-h = \frac{1}{4\cdot p}\cdot (y-k)^{2}$ (1)

Where:

$x$ - Dependent variable.

$y$ - Independent variable.

$p$ - Least distance between focus and directrix.

$h$ , $k$ - Coordinate of the vertex.

The least distance between focus and directrix is determined by Pythagorean Theorem:

$p = \sqrt{(8-4)^{2}+(6-6)^{2}}$

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$(h,k) = F(x,y) - (0.5\cdot p, 0)$ (2)

If we know that $p = 4$ and $F(x,y) = (8,6)$ , then the location of the vertex is:

$(h,k) = (8,6) -(2, 0)$

$(h,k) = (6,6)$

And the equation of the parabola in vertex form is $x-6 = \frac{1}{16}\cdot (y-6)^{2}$ .

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3 years ago

Read 2 more answers