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vodka [1.7K]
3 years ago
8

what positive number satisfies the condition that twice the number minus three times the reciprocal of the number is equal to 1?

Mathematics
1 answer:
marshall27 [118]3 years ago
8 0
Solve:

"<span>twice the number minus three times the reciprocal of the number is equal to 1."
                                                     3(1)
Let the number be n.  Then 2n - ------- = 1
                                                       n

Mult all 3 terms by n to elim. the fractions:

2n^2 - 3 = n.  Rearranging this, we get 2n^2 - n - 3 = 0.

We need to find the roots (zeros or solutions) of this quadratic equation.

Here a=2, b= -1 and c= -3.  Let's find the discriminant b^2-4ac first:

disc. = (-1)^2 - 4(2)(-3) = 1 + 24 = 25.

That's good, because 25 is a perfect square.
                -(-1) plus or minus 5         1 plus or minus 5
Then x = ------------------------------ = --------------------------
                            2(2)                                  4

x could be 6/4 = 3/2, or -5/4.

You must check both answers in the original equation.  If the equation is true for one or the other or for both, then you have found one or more solutions.</span>
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Guys i need your HELP ASAP​
ivanzaharov [21]
To solve this, you’ll first need to solve for their slopes.

The slope for line Q is y2-y1/x2-x1 = -8-(-2)/-8-(-10) = -3

We know that the lines are perpendicular so the negative reciprocal of -3 is 1/3

The equation you get it y = 1/3x + b.

Now you will need to solve for b by substituting in the first ordered pair of line R.

2 = 1/3(1) + b.

Once you solve for b, you should get 5/3 and y = 1/3x + 5/3

Now, to find a, you will need to substitute in 10 from the second ordered pair into x in your new equation.

y = 1/3(10) + 5/3.

Your solution should be 5.

So your answer is: a = 5
8 0
3 years ago
molly shot 20 baskets in 4 minutes Nico shot 42 baskets in 6 minuets how many more baskets did nico shoot per minuete did
Lorico [155]
Nico shot more baskets. Molly shot 5 baskets per minute. 20/4=5 Nico shot 7 baskets per minute. 42/6=7
8 0
3 years ago
Help.
Akimi4 [234]

1035.33156649 meters high is the helicopter flying over the building.

Given that, an observer (O) is located 900 feet from a building (B). The observer notices a helicopter (H) flying at a 49° angle of elevation.

We need to find how high is the helicopter flying over the building.

<h3>How to find the height of the building using trigonometry?</h3>

To measure the heights and distances of different objects, we use trigonometric ratios.

Here, use the Tangent rule to calculate the height of the building.

tan(angle) = opposite/adjacent

Now, tan 49°=h/900

⇒h=1035.33156649 meters

Therefore, 1035.33156649 meters high is the helicopter flying over the building.

To learn more about the angle of elevation visit:

brainly.com/question/21137209.

#SPJ1

3 0
2 years ago
PLEASE HELP ASAP THE DETAILS ARE BELOW.What is the value of x?
Aloiza [94]

Answer:

x = 30°.

Step-by-step explanation:

The dashes on the three lines indicate that the three lines are of equal lengths. The smaller triangle made out of the three lines (the one with two vertices on the circumference of the circle and one at the center of the circle) is an isosceles triangle. All three of the triangle's interior angles are 60° since it is isosceles.

The line (the one with arrows on its ends) touches the circle at only one point. That line is a tangent to the circle. That line is perpendicular to the segment that connects the center of the circle to the point of tangency. The angle between the two will be 90°.

The largest triangle includes three angles:

  • The angle with the center of the circle as its vertice: 60°;
  • The right angle due to the tangent to the circle: 90°;
  • The angle x°.

What is the value of x?

The three interior angles of a triangle add up to 180°. As a result,

60° + 90° + x° = 180°

x = 180 - 90 - 60 = 30.

6 0
3 years ago
HELP URGENTLY NEEDED STUCK ON THIS FOR 2 DAYS!!!!! LOTS OF POINTS FOR PERSON WHO HELPS!!!
trapecia [35]

Answer:

A

Step-by-step explanation:

2b meaning two times the age then add three like the question says.

6 0
3 years ago
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