All categories

3 years ago

Which graph represents the hyperbola? x^2/5^2 - y^2/4^2 = 1

Mathematics

1 answer:

konstantin123 [22]3 years ago

6 0

When it's x²/a² - y²/b²=1 it's the one with zeros on the x axis, at x=±a, y=0.

Here the zeros are at (±5,0) so that's the first page, second graph.

You might be interested in

Given the parent function of y = | x |, list the values that would fill in the table of the transformed function y = | x - 4 |.

NeTakaya

I believe it is answer letter D.

3 0

3 years ago

Read 2 more answers

Why does the fact family for 81 and 9 have only two number sentences

qwelly [4]

Because there are only two things you can do with these two " family" members. 81 divided by 9 is 9. 9 times 9 is 81. Strictly speaking, there should be three in the family: 9,9 and 81 9 is the square root of 81. 81 is the 9 squared.

8 0

2 years ago

The possible values of x are given by x+8=<6.<br><br>The greatest possible value of 7x is_____

kozerog [31]

Answer:

The possible values of x is given by $x\leq -2$ and they include: -2, -3, -4, -5, -6 and so on

The greatest possible value of 7x is $-14$

Step-by-step explanation:

We are given the equation: x + 8 <= 6

Let collect the like terms:

$x + 8 \leq 6\\x\leq 6 -8\\x \leq -2$

Therefore, x <= -2 and the possible values include: -2, -3, -4, -5, -6 and so on

To find the greatest possible value of 7x is when x = -2.

$7x = 7 * -2\\7x = -14\\$ .

6 0

3 years ago

21/8 as a mixed number

Brrunno [24]

You're answer is 2 5/8. To find a mixed number, you take an improper fraction, (such as 21/8), and you divide the numerator by the denominator. Now, you take the remainder and that will be your new numerator, and the divisor will be your denominator. Example:

__2___ Answer: 2 5/8
8 I 21
-16
-------------
5

8 0

2 years ago

Rewrite the slope intercept equation of the line y = 2x + 5 in standard form. A) 2x - y = -5 B) 2x + y = 5 C) -2x - y = -5 D) 2x

goldenfox [79]

Answer:

(A) $2x-y=-5$

Step-by-step explanation:

Slope intercept form of equation of line is $y = mx+c \ where\ m\ is \ slope$

The standard form of equation is $Ax + By + C = 0$

Now let $m=\frac{A}{B}$ $therefore, m =\frac{2}{1}\ which\ gives\ A = 2and\ B = 1$

substituting the value of A and B in slope intercept form,

$y = \frac{A}{B} x+5\\\y = \frac{2}{1} x+ 5\\By\ simplifying,\\1y = 2x + 5\\on\ rearranging\ the\ above\ equation \\2x-y=-5\\which\ gives\ a\ standard\ form\ of\ equation\ Ax +By +C= 0\ where\ A= 2,\ B= (-1)\ and\ C = 5$

3 0

3 years ago