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Reika [66]
3 years ago
11

What are the coordinates of the point on the directed line segment from (-6, -6)(−6,−6) to (9, -1)(9,−1) that partitions the seg

ment into a ratio of 2 to 3?
Mathematics
1 answer:
GrogVix [38]3 years ago
6 0

Answer:

(0, -4)

Step-by-step explanation:

The coordinates of the points from which the directed line segment extends = (-6, -6) to (9, -1)

The ratio the required point partitions the line = 2 to 3

The formula for finding the coordinate of a point that partitions a line AB into a ratio 'a' to 'b', where the coordinates of, A = (x₁, y₁) and B = (x₂, y₂) is given as follows;

\left(\dfrac{a}{a + b} \times (x_1 - x_2)+ x_1, \ \dfrac{a}{a + b} \times (y_1 - y_2)+ y_1 \right)

Therefore, the required point is located as follows;

\left(\dfrac{2}{2 + 3} \times (9 - (-6))+ (-6), \ \dfrac{2}{2 + 3}\times (-1 - (-6))+ (-6) \right) = (0, -4)

The coordinates of the point is (0, -4)

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A number written in the form of p by Q is called​
Vsevolod [243]

Answer:

Rational number

Step-by-step explanation:

If a number is expressed in the form of p/q then it is a rational number. Here p and q are integers, and q is not equal to 0. A rational number should have a numerator and denominator.

6 0
3 years ago
What is the value of f(3) in the function f(x)=5/6x+8
natita [175]

For this case we have a function of the form y = f (x), where f (x) = \frac {5} {6} x + 8

We must find the value of the function when x = 3, that is, we must find f (3). So:

f (3) = \frac {5} {6} (3) + 8\\f (3) = \frac {15} {6} +8\\f (3) = \frac {5} {2} +8\\f (3) = 2.5 + 8\\f (3) = 10.5

Sof (3) = 10.5

Answer:

f (3) = 10.5

3 0
3 years ago
What is 5.37 as a mixed number.
Gnom [1K]
Answer: 5.37 as a mixed number is 5 37/100

To write a decimal number as a mixed number, you must separate the whole part of the decimal part:
5.37 = 5 + 0.37 = 5 0.37
And express the decimal part as a fraction:
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7 0
3 years ago
Smith cut his peanut butter
Lorico [155]
The answer is the square root of 101.75
Assuming that the sandwich Is a square, after cutting it diagonally, it turns into 2 triangles. To look for a missing length of a triangle, you use Pythagorean’s theorem a^2+b^2=c^2
Since c is 12 and a is 6.5 you just square 12 and square 6.5
144 42.25
Subtract it
101.75
You then have to find the square root of it. You can leave it as it is as √101.75 or just solve for it and round it to 10.09
3 0
3 years ago
PLS ANSWER: What is the monomial if a cube of a monomial is: 1/8 a^27
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Answer:

\frac{a^{9} }{2}

Step-by-step explanation:

A monomial is a type of polynomial that has only one term and when there are two terms in the polynomial then it is called binomial.

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In our case the cube of a monomial is \frac{a^{27} }{8}

Therefore, the monomial will be \sqrt[3]{\frac{a^{27} }{8}} =\frac{a^{9} }{2} (Answer)

6 0
3 years ago
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