Please help me out. Thanks

LORAN follows an hyperbolic path.

The equation of the hyperbola is: [tex]\mathbf{\frac{x^2}{2500} + \frac{y^2}{1100} = 1}[/tex]

The coordinates are given as:

[tex]\mathbf{(x,y) = (-60,0)\ (60,0)}[/tex]

The center of the hyperbola  is  

[tex]\mathbf{(h,k) = (0,0)}[/tex]

The distance from the center to the focal points is given as:

[tex]\mathbf{c = 60}[/tex]

Square both sides

[tex]\mathbf{c^2 = 3600}[/tex]

The distance from the receiver to the transmitters  is given as:

[tex]\mathbf{2a = 100}[/tex]

Divide both sides by 2

[tex]\mathbf{a = 50}[/tex]

Square both sides

[tex]\mathbf{a^2 = 2500}[/tex]

We have:

[tex]\mathbf{b^2 = c^2 - a^2}[/tex]

This gives

[tex]\mathbf{b^2 = 3600 - 2500}[/tex]

[tex]\mathbf{b^2 = 1100}[/tex]  

The equation of an hyperbola is:

[tex]\mathbf{\frac{(x - h)^2}{a^2} + \frac{(y - k)^2}{b^2} = 1}[/tex]

So, we have:

[tex]\mathbf{\frac{(x - 0)^2}{2500} + \frac{(y - 0)^2}{1100} = 1}[/tex]

[tex]\mathbf{\frac{x^2}{2500} + \frac{y^2}{1100} = 1}[/tex]

Hence, the equation of the hyperbola is: [tex]\mathbf{\frac{x^2}{2500} + \frac{y^2}{1100} = 1}[/tex]

Read more about hyperbolas at:

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Answer:

4.00 pls give brainliest

Step-by-step explanation:

Hello turkshcutie11!

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

Find the value of x.

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

It's given that the triangle in the figure is a right triangle (a triangle with one angle as 90°). So, we can use the pythagoras property to solve this question.

__________________

Given sides :-

__________________

Using pythagoras property...

Hypotenuse ² = Base² + Altitude ²

x² = 5² + 3²

x² = 25 + 9

x² = 34

x = √34

x = 5.83 units (1st option).

__________________

Hope it'll help you!

ℓu¢αzz ッ

Answer:

Step-by-step explanation:

702

a. When x = -1, the value of y is 3.

b. When y = 7, the value of x is 1.

c. The y-intercept of the graph is (0,5).

d. The x-intercept of the graph is -2.5.

e. The slope of the line is 2.

f. The equation of the line is y = 2x + 5.

Hope this helps!! :)

Answer:

1st figure out how many feet in 1 yard

Then you can take that number <x>

X x 5

Step-by-step explanation:

Answer:

1.67 yards or 5/3

Step-by-step explanation:

I just looked it up

Answer:A

Step-by-step explanation:por que se calcula correctamente

Answer:

first one is M=0 and second one is undefined

Answer:

The sequence of transformation is 90 degrees counterclockwise rotation, followed by a horizontal translation to the right by 2 units.

The order pair rule for each are (x, y) to (-y, x) and (x+2,y)

Step-by-step explanation:

12- 2*6

26- 2*13

gcf =2

the least greatest common factor is 2

Answer:

gradient = -1

Step-by-step explanation:

gradient = y2-y1/x2-x1

gradient = -8--2/3--3

gradient = -8+2/3+3

gradient = - 6/6

gradient = -1

Answer:

[tex]15 \times 2.205 = 33.0693 \: lb[/tex]

Unit conversion is a way of converting some common units into another without changing their real value. The Weight of Jackson's backpack is 33.075 pounds.

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

Since 1 kg is equal to 2.205 pounds. Therefore, the Weight of Jackson's backpack is,

15 kg = 2.205 × 15 kg = 33.075 pounds

Hence, the Weight of Jackson's backpack is 33.075 pounds.

Learn more about Units conversion:

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Answer:

145.8

Step-by-step explanation:

−4.5 x −6 x 5.4

Answer:

the answer is 145.8

Step-by-step explanation:

sorry if I did it wrong

Answer:

120ft squared

Step-by-step explanation:

We'll first separate this into 3 rectangles where the height changes.

We then have 3*8*2, 3*7*2, and 3*5*2.

This solves to 48, 42, and 30.

Those added are 120.

Solution :

Answer: (a.) +3 meters each second   (b.) +80 Celsius

Step-by-step explanation:

(a.) 18/6 =+3 meters each           (b.) 4*20=+80 Celsius

(b.) 4*every hour=

Answer:

I believe the answer is C

Step-by-step explanation:

Answer:

A vertical line at a specific x-value of the domain will intersect the graph of a relation at each y-value in the range that

the x-value is mapped to by the relation. If even one such line has more than one intersection, then one input has two

or more outputs and the relation is not a function.

Happy to Help And brainliest please... I do this all the times sense I'm a honors student, let me know if you need help!

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

Exponential graphs means that it starts to go up slowly but then goes up faster. A is going down, so that's wrong since the graph needs to go up. The correct answer is B.

Answer:

f(g(x)) = 15x3 + 16

Step-by-step explanation:

Answer:

Step-by-step explanation:

Add up the given equations t eliminate y and solve for x:

Your choice is correct

Answer:

4736

Step-by-step explanation:

1) 100 divided by 5 is 20

2) 20 times 3 is 60

3) 60 times 79 is 4740

4) 4740 subtract from 4 is 4736

5) Answer is 4736

Answer:

4736

Step-by-step explanation:

5*20 = 100

20*3 = 60

60*79 = 4740

4740 - 4 = 4736

Answer: 11/9

Step-by-step explanation:

First, convert two to 18/9. This is still equal to two but this makes it easier to answer the problem, because both of the terms have the same denominator. Now, since both of them have the same denominator, all you need to do is subtract the numerators, and put that over the denominator of 9. 18-7=11. So the answer is 11/9. This is an improper fraction, though you could also make it into a mixed number: 1 and 2/9.

Answer:

11/9

Step-by-step explanation:

Add a one under the 2. So that it becomes 2/1. Now you have the expression, 2/1 - 7/9. To subtract fractions, you need the denominators of the two fractions to be the same. We can put 9 as the common denominator. All you have to do in order for 2/1 to have 9 as its denominator, is to multiply 9 for both the numerator and denominator; 2/1 x 9/9 = 18/9. After that, your new expression would be 18/9 7/9. Just subtract across, 18 - 7 = 11, keep the denominator 9. The answer should be 11/9

Answer:

sure if it is about something i know

Answer:

Step-by-step explanation:

1. There are infinite number of lines going from only one point (2, 5)

2. This is a proportional relationship, since line passes through the origin. The slope is -3.

The line B is:

3. Points (-3, -2) and (3, 10)

The slope:

The y - intercept:

The line C is:

4. The rate of change is m = 2.5

The y- intercept:

The line D is:

5. Line E has a slope of 4, no sufficient info to conclude.

6. Line F has m = -3/4 and passes through (8, -1).

The y -intercept is:

The line F is:

7. G is not a linear relationship as the function increases exponentially with common ratio of 3.

Answer:

[tex]{ \rm{ \{ - 2 \frac{3}{11} \times ( - 4) \}. \{1 \frac{13}{20} \times ( - 10) \} }} \\ \\ = { \rm{9 \frac{1}{11} \times - 16 \frac{1}{2} }} \\ \\ { \boxed{ \rm{ \: = - 150 \: \: }}}[/tex]

Answer:

You take 1 percent from each

Step-by-step explanation:

Answer:

0.25

Step-by-step explanation:

5% of 5

5 5 25

------ × ---- = ------

100 1 100

25/100 is 0.25

Hope this helped you- have a good day bro cya)

Using the compound interest formula, the amount of money in the man's bank account in the second year is $100352

The compound interest relationship is computed using the relation :

Plugging the values into the formula :

Final amount = 80000(1 + 12%)²

Final amount = 80000(1 + 0.12)²

Final amount = 80000(1.12)²

Final amount = $100352

Therefore, the final amount in the second year is $100352

Learn more : https://brainly.com/question/18112348

Answer:

shade 20 squares

Step-by-step explanation:

What your going to think about is there is going to be 4 5's  so 4 x 5 is 20

Answer:

I saw the other persons work and I also believe the answer is 20.

Step-by-step explanation:

By multiplying the dividend from the graph.  

Answer:

67/5

Step-by-step explanation:

17 1/5

17x5= 85 + 1= 86/5

3 4/5

3x5=15+4= 19/5

86/5 - 19/5=

86-19= 67/5

hope this helps!