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Fantom [35]
3 years ago
7

Ik most of us have finals coming up. Some of us are stressing alot as well,

Mathematics
1 answer:
saveliy_v [14]3 years ago
4 0

Thanks for the support the finals always have been a struggle! Merry Christmas and good luck on everyone's finals!

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Un número racional positivo siempre es menor que un número racional negativo​
Misha Larkins [42]

Answer:

This sentence is true.

Step-by-step explanation:

3 0
3 years ago
The least common multiple of 9 and 42 through prime factorization?
LUCKY_DIMON [66]

Answer:

3

Step-by-step explanation:

9= 3*3

42=3*7*2

7 0
2 years ago
F divides HJ in the ratio 3:1. If H = (-11,7) and J = (5,3), what are the<br> coordinates of F?
Hatshy [7]

Answer:

The coordinates of HF are (1, 4)

Step-by-step explanation:

The parameters of the line are;

The coordinate of the end points are H = (-11, 7), and J = (5, 3)

The ratio by which the point F divides the line = 3:1

The segments in the line are HF, and FJ

Therefore;

The fraction of the length of HJ that is represented by HF = 3/(3 + 1) × HJ = 3/4 × HJ

HF = 3/4 × HJ

Which gives the coordinates of the point F as follows;

Coordinate of F = (-11 +(5 - (-11))×3/4, 7 + (3 - 7)×3/4) =  (1, 4)

The coordinates of F are (1, 4)

We check the length of HF, from the equation for the length to of a line to get;

l = \sqrt{\left (y_{2}-y_{1}  \right )^{2}+\left (x_{2}-x_{1}  \right )^{2}}

l_{HF} = \sqrt{\left (4-7  \right )^{2}+\left (1-(-11)  \right )^{2}} = \sqrt{\left (-3  \right )^{2}+\left (12  \right )^{2}} = 3\cdot \sqrt{17}

Similarly, we check the length of HJ, to get;

l_{HF} = \sqrt{\left (3-7  \right )^{2}+\left (5-(-11)  \right )^{2}} = \sqrt{\left (-4  \right )^{2}+\left (16  \right )^{2}} = 4\cdot \sqrt{17}

The length of HF = 3·√(17)

The length of HJ = 4·√(17)

Therefore, from HF = 3/4× HJ, we have;

HF = 3/4 × 4·√(17) = 3·√(17)

Therefore, the coordinates of HF are (1, 4)

7 0
3 years ago
An equilateral triangle has side length 10 centimeters. Find its area in square centimeters. HINT: The altitude of an equilatera
dmitriy555 [2]
30cmsquared hope this helps!!!!!
3 0
3 years ago
Simplify: -10 - 90x + 6x - 60
antoniya [11.8K]

<u><em>Answer:</em></u>

- 84x - 70

<em><u>Step-by-step explanation:</u></em>

We want to combine like terms:

-10 - 90x + 6x - 60

We can see (-10) and (-60) are both regular constants so:

- 10 - 60 = - 70

Then (-90x) and (+ 6x):

6x - 90x = - 84x

- 84x - 70

4 0
3 years ago
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