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nexus9112 [7]
2 years ago
4

chin was shown the graph of a line that contained point (1,7). he wrote f(x)= 4x+3 to correctly represent the line. which of the

se equation could be represent the same line. A. y-7=3(x-1). B. y-1=3(x-7) c. y-7=4(x-1) D. y-1=4(x-7)
Mathematics
2 answers:
Andreyy892 years ago
6 0

the answer is C. Hope this Helps

dmitriy555 [2]2 years ago
4 0

Answer:

c. y-7=4(x-1)

Explanation:

The function Chin wrote, f(x) = 4x+3, is in slope-intercept form.  The slope is 4 and the y-intercept is 3.  Another form of a linear function is point-slope form,

y-y_1=m(x-x_1), where (x₁, y₁) is a point on the line and m is the slope.  

For the given information, we would have

y-7=4(x-1)

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Erik's disabled sailboat is floating stationary 3 miles east and 2 miles north of Kingston. A ferry leaves Kingston heading towa
sergij07 [2.7K]

Answer:

Step-by-step explanation:

Let's suppose that Ballard is an origin with coordinates (0;0)

Ballard is 8 miles south and 1 mile west of Edmonds ⇒ Edmonds is 1 mile east and 8 miles north of Ballard.

Thus, coordinates of Edmonds (0+1; 0+8) (1;8)

Edmonds is 6 miles due east of Kingston. So, is 6 miles due of Edmonds

Thus, Kingston coordinates (1-6;8) (-5:8)

Sailboat is 3 miles east and 2 miles north of kingston

So, coordinates of sailboat are (-5+3; 8+2) (-2;10)

a)

Ferry leaves Kingston towards Edmonds at mph and Edmonds is 6 miles due east of Kingston.

Initial ferry coordinates as calculated above are equal to Kingston coordinates (-5;8)

After 20 minutes the ferry turns to south.

This distance travelled (20min) is d=9mph*20/60h=3 miles

So, ferry travelled 3 miles toward east in 20 min

Then, coordinates became (-5+3;8+0) (-2;8)

Thus, we have a line connecting two points (-5;8) and (-2;8)

Line connecting them has an equation:

y-8 = (8-8)/(-2+5) * (x+5)

y-8=0

y=8 - This is the equation for the first 20 minutes of travel

Then, ferry turns due south (-2;8) and has a vertiacl line

The equation of verical line is x=a, so the equation will be x=2

b) The sailboat has a radar scope that will detect any object within 3 miles of the sailboat.

region looks like a circular disc with a center (-2;10)

(x+2)^2+(y-10)^2=3^2

(x+2)^2+(y-10)^2 <9 (interior of the circular disc)

(x+2)^2+(y-10)^2 >9 (exterior)

The equation of the line joining the Kingston and Edmonds is y=8

the point of intersection:

(x+2)^2+(8-10)^2=9

(x+2)^2=5

x is approximately 0.24; -4.24

(0.24;8) (-4.24;8) - intersection points

c) The ferry exits the radar during the trid due south long x=-2

The points of intersection of the circle and the line x=-2:

(-2+2)^2+(y-10)^2=9

0+(y-10)^2=0

y is 7.13

(-2;7)

d) Takes south turn at (-2;8), then ferry travels 0.8 miles up to point (-2;7) where it exists the radar zone

Speed is 9mph

The time taken to cover 1 mile = t=1/9hr=1/9 *60=6.667min

So, it exists after 6.67 minutes

e) Ferry enters at (-4.24;8) and takes turn due to south at (-2;8)

The distance travelled is = [-4.24+2]=2.24 miles

The time taken to cover these miles is = t=2.24/9 *60=14.93 min

After turning to south ferry remains in radar for 6.7 min

So, it remains in radar zone for 14.93+6.7=21.63min

8 0
2 years ago
The equation of line is y = x. The midpoint of BC is (a + c, b). Does the midpoint of BC lie on ? Why or why not? no, because b
andrew11 [14]
The answer is 2 and 9 because 9 divide by that is 4.5
6 0
2 years ago
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The given values are discrete. Use the continuity correction and describe the region of the normal distribution that corresponds
Bumek [7]

Answer:

Option B) The area to the right of 35.5

Step-by-step explanation:

Data:

Let the probability of the correct answers be denoted by the letter C.

The probability of no more than 35 defective CD's  can be 35 or less. Therefore, it is presented as follows:

P ≤  35

Let, the probability of more than 44 correct answers can be presented like this:

P > 44

Therefore, combining the two inequalities gives an area at the right of 35.5

5 0
2 years ago
12,400 x one and one fifth = ________. Will the product of this equation be less than or greater than 12,400? Explain your reaso
frozen [14]

Answer:

Your answer would be 14,880, so it would be greater than 12,400.

12,400 * 1 1/5 = 14,880

3 0
2 years ago
If it took Mark 45 minutes to get to work and 35 minutes to get home, how long did he spend travelling to and from work?
oksano4ka [1.4K]

Mark spent a total of 80 minutes or 1 hour and 20 minutes traveling to and from work.

45 minutes + 35 minutes = 80 minutes

There are 60 minutes per hour, so their would 1 hour and 20 minutes.

4 0
2 years ago
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