All categories

3 years ago

Is this a function or not. please add an explanation this is a constructed response

Mathematics

1 answer:

seropon [69]3 years ago

6 0

Answer:

This is an equation for a parabola. All parabolas are functions.

answer: function

Step-by-step explanation:

You might be interested in

Which is the equation of a hyperbola with directrices at x = ±3 and foci at (4, 0) and (−4, 0)?

Alex Ar [27]

Answer:

$\frac{x^2}{12}-\frac{y^2}{4}=1$

Step-by-step explanation:

Since our foci are located on the x-axis, then our major axis is going to be the horizontal transverse axis of the hyperbola:

<u>Formula for hyperbola with horizontal transverse axis centered at origin</u>

<u /> $\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$
Directrices -> $x=\pm\frac{a^2}{c}$
Foci -> $(\pm c,0)$ where $a^2+b^2=c^2$
$a>b$

Since we are given our directrices of $x=\pm3$ and foci of $(\pm4,0)$ , then we can set up the directrices equation to solve for $a^2$ :

$x=\pm\frac{a^2}{c}\\ \\\pm3=\pm\frac{a^2}{4}\\ \\12=a^2$

Now we can determine $b^2$ to complete our equation for the hyperbola:

$a^2+b^2=c^2\\\\12+b^2=4^2\\\\12+b^2=16\\\\b^2=4$

Therefore, our equation for our hyperbola is $\frac{x^2}{12}-\frac{y^2}{4}=1$

5 0

2 years ago

Point A is (5, 7).

spin [16.1K]

The coordinate of point B is at (29, -15): Option C is correct.

The formula for calculating the midpoint of two points is expressed as:

$M(x, y) = {\frac{x_2+x_1}{2}, \frac{y_2+y_1}{2}}$

Given the coordinate points

A is (5, 7).

B is (x, y).

M is (17, -4)

Substituting into the formula to get x and y

17 = 5+x/2

5+x = 34

x = 34 - 5

x = 29

Get the value of y. Similarly;

-4 = 7+y/2

-8 = 7+y

y = -8-7

y = -15

Hence the coordinate of point B is at (29, -15)

Learn more here: brainly.com/question/13989426

5 0

3 years ago

Please help me asap :) thank you

Mashutka [201]

Answer:

1 1/2 points

Step-by-step explanation:

3 0

3 years ago

Whats 2+2? im really struggling with this question, pls help

EleoNora [17]

Answer:

its 4

Step-by-step explanation:

1 2 3 4

hope i helped

8 0

3 years ago

Read 2 more answers

Help me plz i can't figure this out

zzz [600]

Answer:

Step-by-step explanation:

For C the y axis changes, add 5 to -3 and you get 2. Therefore 5 units away!

Hope this helps, good luck! :)

6 0

3 years ago