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3 years ago

Help please i’ll give extra points & brainlist:)!

Mathematics

1 answer:

vodomira [7]3 years ago

6 0

A south pole of one magnet can approach the north pole of another. The magnetic fields are aligned. This makes an attractive force between the two magnets. The farther apart they are, the higher their potential energy.

hope this helped :)

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The points (4,k) and (5,-8) fall on a line with a slope of -7. what is the value of k?

babunello [35]

Answer:

k= -1

Step-by-step explanation:

To find k, use the points and the m =-7 in the slope formula:

$m=\frac{y_2-y_1}{x_2-x_1}\\\\-7=\frac{-8-k}{5-4} \\\\-7 = \frac{-8-k}{1}\\\\-7=-8-k\\\\k = -8+7\\\\k=-1$

4 0

3 years ago

What is the perimiter, in feet, of a square whose area is 121 square feet

Ainat [17]

Square needs to have all equal sides and length and width are the same.

So sqrt the area.

sqrt 121 = 11

11 feet is the length of one side, square has 4.

11 * 4 = 44

The perimeter of a square (whose area is 121 feet) is 44 feet.

5 0

3 years ago

A 9.85 m ladder is placed against a wall. The height to the top of the ladder is 5 m more than the distance between the wall and

Dafna1 [17]

Given:

Length of the ladder = 9.85 m

The height to the top of the ladder is 5 m more than the distance between the wall and the foot of the ladder.

To find:

The height to the top and the distance between the wall and the foot of the ladder.

Solution:

let x be the distance between the wall and the foot of the ladder. Then the height to the top of the ladder is (x+5).

Pythagoras theorem: In a right angle triangle,

$Hypotenuse^2=Base^2+Perpendicular^2$

In the given situation, hypotenuse is the length of ladder, i.e., 9.85 m. The base is x m and the height is (x+5) m.

Using the Pythagoras theorem, we get

$(9.85)^2=x^2+(x+5)^2$

$97.0225=x^2+x^2+10x+25$

$0=2x^2+10x+25-97.0225$

$0=2x^2+10x-72.0225$

Here, $a=2, b=10,c=-72.0225$ . Using the quadratic formula, we get

$x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}$

$x=\dfrac{-10\pm \sqrt{(10)^2-4(2)(-72.0225)}}{2(2)}$

$x=\dfrac{-10\pm \sqrt{676.18}}{4}$

Approximating the value, we get

$x=\dfrac{-10\pm 26}{4}$

$x=\dfrac{-10+26}{4},\dfrac{-10-26}{4}$

$x=\dfrac{16}{4},\dfrac{-36}{4}$

$x=4,-9$

Distance cannot be negative so $x\neq -9.$

Now we have $x=4$

$x+5=4+5$

$x+5=9$

Therefore, the base is 4 m and the height is 9 m.

5 0

3 years ago

Can someone explain how you would find the answer

zzz [600]

Answer:

B. point B

because -16/6 = - 2.67 here we can see the point B is in that place so.

3 0

3 years ago

Read 2 more answers

(2.5 points) The probability that an airplane accident which is due to structural failure is diagnosed correctly is 0.85 and the

Nikitich [7]

Answer: 0.51

Step-by-step explanation:

This is a conditional probability. The first event is the airplane accident being caused by structural failure. The probability of it being due to structural failure is 0.3 and the probability of it not being due to structural failure is 0.7. The second event involves the diagnosis of the event. If a plane fails due to structural failure, the probability that it will be diagnosed and the results will say it was due to structural failure is 0.85, and the probability that the diagnosis is unable to identify that it was because of a structural failure is 0.15. If the plane were to fail as a result of some other reason aside structural failure, the probability that the diagnosis will show that it was as a result of structural failure is 0.35 and the probability of the diagnosis showing that is is not as a result of structural failure is 0.65. To find the probability that an airplane failed due to structural failure given that it was diagnosed that it failed due to some malfunction, this is the equation;

p = (probability of plane failing and diagnosis reporting that the failure was due to structural failure)/ (probability of diagnosis reporting that failure was due to structural failure)

p = (0.3*0.85)/((0.3*0.85) + (0.7*0.35))

p = 0.51

4 0

3 years ago