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Dovator [93]
3 years ago
8

A point T on a segment with endpoints D(1, 4) and F(7, 1) partitions the segment in a 2:1 ratio. Finds T.

Mathematics
2 answers:
Dafna1 [17]3 years ago
5 0

In geometry, points are used to divide segments into subsegments using partitions or ratios.

The position of T is: (5,2)

Given that:

D = (1,4) ---- (x_1,y_1)

F = (7,1) ---- (x_2,y_2)

m : n = 2:1

The position of T is calculated using the following line ratio formula

T = \frac{1}{m+n}(mx_2 +nx_1,my_2 +ny_1)

So, we have:

T = \frac{1}{2+1}(2 * 7 +1 *1,2 * 1 +1 * 4)

T = \frac{1}{3}(15,6)

Expand

T = (\frac{1}{3}*15,\frac{1}{3}*6)

T = (5,2)

Read more at:

brainly.com/question/3148758

Maslowich3 years ago
3 0

Answer:

( 5 , 2)

Step-by-step explanation:

The coordinates  of T  can be found as

[ 1 + (2/3)(7 - 1)  ,  4 + (2/3)(1 - 4) ]  =

[ 1 + (2/3)(6) , 4 + (2/3)(-3) ]  =

[ 1 + 4.   4  - 2 ]  =

( 5 , 2)

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Answer:

C

Step-by-step explanation:

The expression given is a difference of cubes and factors as

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8x^{24} = (2x^{8})³ ⇒ a = 2x^{8}

27y^{6} = (3y²)³ ⇒ b = 3y²

Hence 2 factors are

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Hence the factored form of the expression is C

4 0
3 years ago
Jovani wanted to switch gyms. Fitness 19 charges a one time $39 cleaning fee and $17 per
Alexxx [7]

Answer:

Hi there!

Your answer is:

It will take 2.2 months for both gyms to be the same amount of money!

Step-by-step explanation:

Fitness 19:

39+ 17x

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50+ 12x

Put them equal to each other:

39+17x = 50+12x

-12x

39+5x = 50

-39

5x = 11

/5

x= 2.2 months

39+17(2.2)= 76.4$

50+12(2.2)= 76.4$

Hope this helps!

8 0
3 years ago
Read 2 more answers
What is an equation for a sine curve with amplitude 2, and period 4pi radians ?
Nezavi [6.7K]
<span>1. a sine curve with amplitude 2, and period 4pi radians
</span>
the general equation of the sine curve ⇒⇒ y = a sin (nθ)
where: a is the amplitude  and  n = 2π/perid
∵ <span>amplitude 2, and period 4pi radians
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∴ y = 2 sin (θ/2)

The correct answer is option D. y = 2 sin (θ/2)
===========================================

<span>2.The period and amplitude of the function ⇒⇒ y = 5 cos 2θ
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where : a is the amplitude  and  n = 2π/period
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The correct answer is option B. Period: pi radians: Amplitude:5

============================================================
3. tan (2π/3) = tan 120° = -√3 
120° lie in the second quadrant and its reference angle = 180° - 120° = 60°
tan function in the second quadrant is negative
∴ tan 120° = - tan 60 = -√3

The correct answer is C. -sqrt3

=====================================================
4. <span>Tan 5π/6 = tan 150° = -(√3)/3
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150° lies in the second quadrant and its reference angle = 180° - 150° = 30°
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8 0
3 years ago
7÷9932 i need help with this and i have to show the work
Rashid [163]

Answer:

the answer is 7 over 9932!

Step-by-step explanation:


6 0
2 years ago
-15/-18=10/x<br> what is X?
xenn [34]

Answer:

12

Step-by-step explanation:

(-15)/(-18) = 10/x cross multiply expressions

-15x = -180 since both sides are negative we can write without the sign

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7 0
2 years ago
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