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Olegator [25]
3 years ago
11

What is the least common multiple of 6 and 8?​

Mathematics
1 answer:
Paladinen [302]3 years ago
8 0

Answer:

2

Step-by-step explanation:

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A system for tracking ships indicated that a ship lies on a hyperbolic path described by 5x2 - y2 = 20. the process is repeated
zysi [14]
Answer:
The ship is located at (3,5)

Explanation:
In the first test, the equation of the position was:
5x² - y² = 20 ...........> equation I
In the second test, the equation of the position was:
y² - 2x² = 7 ..............> equation II
This equation can be rewritten as:
y² = 2x² + 7 ............> equation III

Since the ship did not move in the duration between the two tests, therefore, the position of the ship is the same in the two tests which means that:
equation I = equation II

To get the position of the ship, we will simply need to solve equation I and equation II simultaneously and get their solution.

Substitute with equation III in equation I to solve for x as follows:
5x²-y² = 20
5x² - (2x²+7) = 20
5x² - 2y² - 7 = 20
3x² = 27
x² = 9
x = <span>± </span>√9

We are given that the ship lies in the first quadrant. This means that both its x and y coordinates are positive. This means that:
x = √9 = 3

Substitute with x in equation III to get y as follows:
y² = 2x² + 7
y² = 2(3)² + 7
y = 18 + 7
y = 25
y = +√25
y = 5

Based on the above, the position of the ship is (3,5).

Hope this helps :)
8 0
3 years ago
a collection of nickels and quarters are worth $8.80. if she has 68 total nickels and quarters, how many quarters does she have?
nikdorinn [45]

Answer:20

Step-by-step explanation:

3 0
3 years ago
(ASAP)<br> Solye for n.<br> 24 = 3(n – 5) <br> n=
Paul [167]

Answer: can u check out the image cuz the answer is in the photo and hope this helps can u give me brainliest

Step-by-step explanation:

24=3(n-5)

Distribute.

24=3(n) + 3(-5)

24 = 3n -15

Add 15 to both sides.

39 = 3n

Divide both sides by 3.

n = 13.

I hope this helps!.

6 0
2 years ago
The summer solstice can occur on any day of the week with each day being equally likely. What is the probability the summer sols
chubhunter [2.5K]
Out of a single week it's 2/7. Out of a month it'd be 8/30 with only 30 days in a month. I hope this helps.
6 0
3 years ago
Read 2 more answers
Please help ASAP! Find the midpoint between the complex numbers.
Ivenika [448]
\bf \begin{cases}&#10;z1=9-9i\implies &(9~,~-9)\\&#10;z2=10-9i\implies &(10~,~-9)&#10;\end{cases}

\bf ~~~~~~~~~~~~\textit{middle point of 2 points }\\\\&#10;\begin{array}{ccccccccc}&#10;&&x_1&&y_1&&x_2&&y_2\\&#10;%  (a,b)&#10;&&(~ 9 &,& -9~) &#10;%  (c,d)&#10;&&(~ 10 &,& -9~)&#10;\end{array}\qquad&#10;%   coordinates of midpoint &#10;\left(\cfrac{ x_2 +  x_1}{2}\quad ,\quad \cfrac{ y_2 +  y_1}{2} \right)&#10;\\\\\\&#10;\left( \cfrac{10+9}{2}~~,~~\cfrac{-9-9}{2} \right)\implies \left( \cfrac{19}{2}~~~,~~\cfrac{-18}{2} \right)&#10;\\\\\\&#10;\left( \cfrac{19}{2}~~~,~~-9 \right)\implies \left( 9\frac{1}{2}~~~,~~-9 \right)
3 0
3 years ago
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