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LuckyWell [14K]
3 years ago
13

A boat travels from a port and moves 12 miles north and then moves 5 miles east. what is the present distance of the boat from t

he port?
Mathematics
1 answer:
Sedaia [141]3 years ago
5 0
What helped me find the answer if I am correct would be that I drew a number line to represent the distance the boat is moving from the port. The first thing I did was I drew an arrow pointing to the right all the was to the number 12 and then I drew another arrow pointing to the left to show that the boat moved 5 miles to the east and the the question asked now how many miles is the boat from the port so the answer would be 7 miles. P.s. Sorry this is soooo long.
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A line segment has (x1, y1) as one endpoint and (xm, ym) as its midpoint. Find the other endpoint (x2, y2) of the line segment i
Tasya [4]

Answer:

(3,7) for the first line, and (12,0) for the second one.

Step-by-step explanation:

Hi Isabella,

1) The Midpoint of a line, when it comes to Analytical Geometry, is calculated as Mean of two points it follows:

x_{m}=\frac{x_{1} +x_{2} } {2}, y_{m} =\frac{y_{1}+ y_{2} }{2}

2) Each segment has two endpoints, and their midpoints, namely:

a) (1,-9) and its midpoint (2,-1)

b) (-2,18) and its midpoint (5,9)

3) Calculating. You need to be careful to not sum the wrong coordinates.

So be attentive!

The first line a

2=\frac{1+x_{2} }{2}\\  4=1+x_{2}\\  4-1=-1+1+x_{2} \\ x_{2}=3\\-1=\frac{y_{2}-9}{2}\\-2=y_{2}-9\\+2-2=y_{2}-9+2\\ y_{2}=-7

So (3,7) is the other endpoint whose segment starts at (1,-9)

The second line b endpoint at (-2,18) and its midpoint (5,9)

5=\frac{-2+x_{2} }{2} \\ 10=-2+x_{2} \\ +2+10=+2-2+x_{2}\\ x_{2}=12 \\ \\ 9=\frac{18+y_{2} }{2} \\ 18=18+y_{2} \\ -18+18=-18+18+y_{2}\\ y_{2} =0

So (12,0) it is the other endpoint.

Take a look at the graph below:

8 0
3 years ago
Which equation has no solution?
marissa [1.9K]

Answer: no soultions

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
I’ve been stuck can someone explain
MariettaO [177]

Answer:

Option (3)

Step-by-step explanation:

From the figure attached,

AB and CD are two chords intersecting at O.

m∠AOD = 37°

m∠AOC + m∠AOD = 180° [Since these angles are supplementary angles]

m∠AOC = 180° - 37°

              = 143°

By the theorem of intersecting chords,

Measure of angle formed is the half of the sum of measures of the arcs intercepted by the angle and vertical angle.

m∠AOC = \frac{1}{2}(\widehat{AC}+\widehat{BD})

143° = \frac{1}{2}[(x+5)+(x-5)]

143° = x

Therefore, Option (3) will be the answer.

3 0
3 years ago
Many freeways have service (or logo) signs that give information on attractions, camping, lodging, food, and gas services prior
Ne4ueva [31]

Answer:

H0 : μd = 0

H1 : μd ≠ 0

Test statistic = 0.6687 ;

Pvalue = 0.7482 ;

Fail to reject H0.

Step-by-step explanation:

H0 : μd = 0

H1 : μd ≠ 0

Given the data:

Before: 15 26 66 115 62 64

After: 16 24 42 80 78 73

Difference = -1 2 24 35 -18 -9

Mean difference, d ; Σd / n

d = Σx / n = ((-1) + 2 + 24 + 35 + (-18) + (-9))

d = Σx / n = 33 / 6 = 5.5

Test statistic = (d / std / sqrt(n))

std = sample standard deviation = 20.146

Test statistic = 5.5 ÷ (20.146/sqrt(6))

Test statistic = 0.6687

The Pvalue :

P(Z < 0.6687) = 0.7482

At α = 0.05

Pvalue > α ; Hence we fail to reject H0

The data does not suggest a significant mean difference in the average number of accidents after information was added to road signs.

5 0
3 years ago
Find the anual premium for 25,000 of life insurance at 22.24 per 1,000 dollars how do you solve this
umka21 [38]

Answer: The answer would be $556.

Step-by-step explanation:

4 0
3 years ago
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