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atroni [7]
3 years ago
10

What are the coordinates of the point on the directed line segment from (−8,−6) to (-1, 8) that partitions the segment into a ra

tio of 5 to 2?
Mathematics
1 answer:
aivan3 [116]3 years ago
3 0

Answer:

(-3, 4)

Step-by-step explanation:

let the point P(x, y)

x = (5/7 × (-1+8)) + (-8)

= (5/7 × 7) -8 = 5-8 = -3

y = (5/7 × (8+6)) + (-6)

= (5/7 × 14) -6 = 10-6 = 4

so, P => (-3 , 4)

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Find the LCM of 5, 6 and 9.​
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In a class of 30 students, 6 have a brother and 12 have a sister. There are 14 students who do not have any siblings. What is th
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32 siblings from the class theres a possibility that some students had more siblings and not everyone has one

Step-by-step explanation:

.

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3 years ago
A survey of 25 grocery stores revealed that the mean price of a gallon of milk was $2.98, with a standard error of $0.10. What i
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Answer:

95% confidence interval: (2.784,3.176)

Step-by-step explanation:

We are given the following information in the question:

Sample size, n = 25

Sample mean = $2.98

Standard error = $0.10

Alpha = 0.05

95% confidence interval:

\mu \pm z_{critical}(\text{Standard error})

Putting the values, we get,

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

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5 0
3 years ago
junior rides his trucycle off a level porch. If he left the porch at a speed of 4 m/s and landed a horizontal distance of 2.5m f
WITCHER [35]

Answer:

the height of the porch is H=1.91 m

Step-by-step explanation:

neglecting friction and assuming that the porch is horizontal, then the horizontal speed is v₀= 4 m/s and it does not change , thus he hits the base at

t= L/v₀ , L= horizontal distance

then for vertical motion , since the vertical velocity vy is 0 , the initial height is H ( the height of the porche)  and the final height hf is 0 , we have

hf = H + vy*t - 1/2*g*t²

0 = H + 0 -1/2*g*t²

H = 1/2*g*t² = 1/2*g*(L/v₀)²

replacing values with g= gravity = 9.8 m/s²

H = 1/2*g*(L/v₀)² = 1/2*9.8 m/s² *( 2.5 m/ 4 m/s)² = 1.91 m

therefore the height of the porch is H=1.91 m

6 0
3 years ago
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