All categories

3 years ago

Umm what? i have been stuck on this question for 30 minutes. help please

Mathematics

1 answer:

Alex3 years ago

7 0

Answer:

Step-by-step explanation:

a hyperbola is used in the form

(x-h)^2/a^2 - (y-k)^2/b^2

in this case h=1 k=2 a=6 b=8

since the x part comes first, use y = +-(b/a)(x-h) + k to find the asymptotes

we get y = +-(4/3)(x-1) + 2

multiply out the 4/3 to get

for +: (4x-4)/3 + 2

for -: (-4x+4)/3 + 2

change 2 to 6/3 and combine:

for +: 4x+2/3

for -: (-4x+10)/3

You might be interested in

Kayla ran 10 miles it took her 60 minutes how many minutes did it take her to run each mile?

Lady_Fox [76]

Answer: 4 hours 30 minutes

Step-by-step explanation: 36/8 = 4.5 hours

hours = 4, minutes = 0.5*60 = 30

5 0

3 years ago

What's the answer to this!! The highest point on the state of Louisiana is driskall mountain. It rises 535 feet above sea level.

dmitriy555 [2]

+535 is the integer to Driskill Mountain

8 0

3 years ago

Please I really need help with this question!!!!!

Nina [5.8K]

To solve this problem, we must consider all the trigonometric equations:

⇒ (see image below)

Let's examine the diagram:

the side adjacent to ∠A ⇒ AC ⇒ 35 meters
hypotenuse ⇒ 53 meters

Thus we can use:

$cos(A)=\frac{35}{53} \\A= cos^{-1}(\frac{35}{53})\\ A = 48.67$

Answer: 49 degrees (as rounded)

Hope that helps!

3 0

3 years ago

What is the equation of the line that is perpendicular to the given line and has an x-intercept of 6?

zhenek [66]

First we have to find the slope of the givent line and for that we use rise / run method .

The points are (-4,4),(4,-2)

Here rise is

$-2-4 =-6$

And run is

$4-(-4)=8$

So slope is

$= \frac{-6}{8} = \frac{-3}{4}$

And the slopes of perpendicular lines are negative reciprocal of each other .

Therefore the slope of the required perpendicular line is

$-(- \frac{4}{3}) = \frac{4}{3}$

Now we use slope intercept form, and put x intercept , that is (6,0) and the slope that is 4/3 ,

$y=mx+b
\\
0 = \frac{4}{3}*6 +b
\\
0=8+b
\\
b =-8$

Therefore required equation is

$y= \frac{4}{3}x -8$

Correct option is the third option .

6 0

3 years ago

Read 2 more answers

A hemispherical tank is filled with water and has a diameter of 6 feet. If water weighs 62.4 pounds per cubic foot, what is the

masha68 [24]

Answer:

The total weight of the water in a full tank, to the nearest pound is 3527 pounds per cubic foot

Step-by-step explanation:

Given:

Diameter of the hemispherical tank = 6 feet

Weight of water per cubic foot = 62. 4 pounds

To Find:

The total weight of the water in a full tank, to the nearest pound?

Solution:

We know that the volume of a sphere is:

$V =\frac{4}{3}\pi r^3$

where

r = is the radius

In the question we are given with diameter,

$radius = \frac{diameter}{2}$

radius = $\frac{6}{2}$

Radius = 3

We need the volume of the hemisphere

So the volume of the hemisphere will be half of the volume of teh sphere

$\frac{V}{2} = \frac{2}{3}\pi r^3$

Thus the volume of the hemisphere is

$V =\frac{2}{3} \pi r^3$

Now substituting the values

$V = \frac{2}{3} \pi(3)^3$

$V = \frac{2}{3}\pi(27)$

$V = \frac{54 \pi}{3}$

$V = \frac{169.56}{2}$

V= 56.52 cubic foot

Now, the total weight of water of:

W = 56.52 x 62.4

W= 3526.848 pounds per cubic foot

To the nearest pounds

W= 3527 pounds per cubic foot

5 0

3 years ago

Umm what? i have been stuck on this question for 30 minutes. help please​

Umm what? i have been stuck on this question for 30 minutes. help please