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3 years ago

15

Graph the hyperbola with equation quantity x plus one squared divided by nine minus the quantity of y plus four squared divided

by twenty five = 1.

1 answer:

Len [333]3 years ago

6 0

Answer:

I had graphed your equation.

I recommend the website desmos.com for graphing online.

Have a nice day.

You might be interested in

Three right triangles are drawn in the coordinate plane,

SashulF [63]

Answer:

Triangle A:

- smaller leg = 3

- longer leg = 10

- hypotenuse = 10.4

Traingle B:

- smaller leg = 4

- longer leg = 13

- hypotenuse = 13.6

Triangle C:

- smaller leg = 5

- longer leg = 7

- hypotenuse = 8.6

Step-by-step explanation:

Let's find the distance of the legs for the 3 right triangles.

<u>Triangle A</u>

The smaller leg (SL) is from (2,5) to (2,8), so the length is given by the distance in the y-axis:

$SL_{A} = 8 - 5 = 3$

Hence, the lenght of the smaller leg is 3.

The longer leg (LL) is from (-8, 8) to (2, 8), so the length is given by the distance in the x-axis:

$LL_{A} = 2 - (-8) = 10$

Then, the length of the longer leg is 10.

Now, we can find the hypotenuse (H) by using Pitagoras:

$H_{A} = \sqrt{SL_{A}^{2} + LL_{A}^{2}} = \sqrt{3^{2} + 10^{2}} = 10.4$

<u>Triangle B</u>

The SL is from (3, -9) to (7, -9)

The length of the SL is:

$SL_{B} = 7 - 3 = 4$

The LL is from (7, -9) to (7, 4)

The length of the LL is:

$LL_{B} = 4 - (-9) = 13$

The hypotenuse is:

$H_{B} = \sqrt{4^{2} + 13^{2}} = 13.6$

<u>Triangle C</u>

The SL is from (-10, -6) to (-10, -1)

The length of the SL is:

$SL_{C} = -1 - (-6) = 5$

The LL is from (-10, -6) to (-3, -6)

The length of the LL is:

$LL_{C} = -3 - (-10) = 7$

The hypotenuse is:

$H_{C} = \sqrt{5^{2} + 7^{2}} = 8.6$

I hope it helps you!

5 0

3 years ago

The number of paper clips that crystal has is 42 divided by the number of paper clips that gayle has. If gayle has 11 more paper

Rom4ik [11]

Answer:

• Gayle: 14

• Crystal: 3

Step-by-step explanation:

Let g represent the number of paperclips Gayle has. Then 42/g is the number Crystal has. The relationship between the two numbers is said to be ...

g - (42/g) = 11

Multiplying by g gives ...

g^2 -42 = 11g

g^2 -11g -42 = 0 . . . . subtract 11 g to put into standard form

To factor this, you are looking for two factors of -42 that sum to -11.

-42 = -42·1 = -21·2 = -14·3 = -7·6

You can see that -14 and 3 sum to -11, so the factoring is ...

(g -14)(g +3) = 0

g = 14 . . . . . . . . . . makes the product zero. (The g=-3 solution is extraneous.)

Gayle has 14 paperclips and Crystal has 3.

8 0

3 years ago

6 students share 4 bagels equally

babunello [35]

They would each get one and a half bagels because 6/4= 1.5

3 0

4 years ago

How do i solve tis in need help <br> slope=2/7 y-intercept=-4

Thepotemich [5.8K]

Answer:

y=2/7x-4

Step-by-step explanation:

Write in Slope intercept form

y=mx+b

m = slope

b = y intercept

x = x intercept

y = (0,-4)

So,

y = 2/7x+(-4) substitute

y = 2/7x-4

5 0

3 years ago

∆ABC has A(-3, 6), B(2, 1), and C(9, 5) as its vertices. The length of side AB is units. The length of side BC is units. The len

leonid [27]

Answer:

AB = 7.07 units

BC = 8.06 units

AC = 12.04 units

Step-by-step explanation:

To find the length for each side of the triangle, apply the distance formula between each pair of vertices.

<u>AB</u>

$d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\d = \sqrt{(2--3)^2 + (1-6)^2} \\d = \sqrt{(5)^2 + (-5)^2} \\d = \sqrt{25 + 25} \\d = \sqrt{50} \\d=7.07$

<u />

<u>BC</u>

$d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\d = \sqrt{(9-2)^2 + (5-1)^2} \\d = \sqrt{(7)^2 + (4)^2} \\d = \sqrt{49 + 16} \\d = \sqrt{65} \\d=8.06$

<u />

<u>AC</u>

$d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\d = \sqrt{(9--3)^2 + (5-6)^2} \\d = \sqrt{(12)^2 + (-1)^2} \\d = \sqrt{144 + 1} \\d = \sqrt{145} \\d=12.04$

4 0

3 years ago