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weqwewe [10]
3 years ago
11

What are the coordinates of the point on the directed line segment from (- 10, - 10) to (6, - 2) that partitions the segment int

o a ratio of 3 to 5
Mathematics
2 answers:
Nina [5.8K]3 years ago
6 0

Answer:

Denote:

A(-10, -10)  

B(6, -2)

vector AB(6 - -10, -2 - -10) = (16, 8)

(3/5)vector AB = (16 x 3/5, 8 x 3/5) = (9.6, 4.8)

=> Point M that partitions the directed line segment AB into a ratio of 3 to 5:

M = A + (3/5)vector AB = (-10 + 9,6, -10 + 4.8) = (-0.4, -5.2)

Hope this helps!

:)

8_murik_8 [283]3 years ago
3 0

Answer:

THE REAL ANSWER IS -4,-7

Step-by-step explanation:

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The number of marbles in the bag illustrates probability

The conclusion about the number of marbles in the bag is that the bag can only contain one type of marble

<h3>The number of marbles in the bag?</h3>

The probabilities are given as:

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Show that the sum of the first 2n natural numbers is n(2n+1)
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Answer:

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Read 2 more answers
Please help with this!!
lozanna [386]

Answer:

#1.---60%   #2.---$12.60 per hour

Step-by-step explanation:

#1. Since It was originally $50 you have 50% already, so what I did was I multiplied 50 by 2. this got me 100 which is a simpler way to calculate by. 50 to 80 dollars is a $30 change, so multiply that by 2 and you get 60. 60 will be your percent of change. You can double check this by multiplying 50 by .60, the answer will be 30 and 50+30=80

#2 Since Tyler starts off with $12 per hour with a 5% increase you will need to multiply 12*.05 this will get you the answer of 0.6 you then need to add $12, since that was his original payment. 12+0.6=12.60, so his final payment would by $12.60 per hour

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2 years ago
Given the trinomial x^2+bx+c where both the first and second signs are positive, the signs of the factors will be: A. both negat
Lunna [17]
The answer here is C. The sign of the factors are both positive. We can use the FOIL method as reference in determining the sign of the factors. The 3rd term C is positive; therefore our only option is either both negative or both positive. Looking the middle term, which is positive, we know that the middle term is the sum of the outer and inner in FOIL method, which means, signs of the factors must be both positive
7 0
3 years ago
Is my answer correct or no? <br> ---&gt; show explanation &amp; details if i am wrong!!!
neonofarm [45]

Answer:

No, because the distance from the origin to point (7 , -7) is greater than the radius of the circle ⇒ 3rd answer

Step-by-step explanation:

From the graph of the circle

∵ The center of the circle F is at the origin

∴ F is (0 , 0)

∵ The circle passes through point (7 , 0)

- The length of the radius of the circle is the distance between

   the center of the circle and a point on the circle

∴ r is the distance between points (0 , 0) and (7 , 0)

∴ r=\sqrt{(7-0)^{2}+(0-0)^{2}}=\sqrt{49}=7

∴ The length of the radius of the circle is 7 units

Let us find the distance between point (7 , -7) and the origin (0 , 0)

  • If the distance is equal to the radius of the circle, then the point is on the circle
  • If the distance is greater than the radius, then the point is outside the circle
  • If the distance is less than the radius, then the point is inside the circle

∵ The distance =  \sqrt{(7-0)^{2}+(-7-0)^{2}}=\sqrt{49+49}=\sqrt{98}=7\sqrt{2}

∵ r = 7

∵ 7\sqrt{2} > 7

∴ The distance is greater than the radius of the circle

∴ Point (7 , -7) lies outside the circle

The correct answer is:

No, because the distance from the origin to point (7 , -7) is greater than the radius of the circle

<em>Your answer is not correct, the correct answer is the 3rd answer</em>

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