Write a polynomial function of least degree with rational coefficients so that P (x)=0 has the given root. 3-5i

Julie and Eric row their boat (at a constant speed) 55 miles downstream for 5 hours, helped by the

Archy [21]

Answer: C = 3 mph is the rate of the current.

Step-by-step explanation:

Hey there!

You can use the distance formula (d = rt) to solve this problem.

Downstream trip: d = 55 miles, t = 5 hours, and r = R + C

R + C is their rowing speed (R) plus the rate of the current (C).

Upstream trip: d = 55 miles, t = 11 hours, and r = R - C

R - C is their rowing speed (R) minus the rate of the current (C).

Downstream: 55 mi. = (R + C)5 hrs. Divide both sides by 5: R + C = 11

Upstream: 55 mi. = (R - C)11 hrs. Divide both sides by 11: R - C = 5

Calculations

R + C = 11 Subtract C from both sides.

R = 11 - C Substitute this into: R - C = 5

(11 - C) - C = 5 Simplify and solve for C

11 - 2C = 5 Add 2C to both sides.

11 = 2C + 5 Subtract 5 from both sides.

6 = 2C Divide both sides by 2

C = 3 mph is the rate of the current.

~I hope I helped you! :)~

5 0

3 years ago

5. A right triangle has a hypotenuse that is 13 cm and a leg that is 4 cm.

kompoz [17]

Answer:

ok so square 13 cm, and square 4 cm. then you will add those together then take that number and find the square root plz mark brainliest

3 0

3 years ago

What is the slope of the line passing through the points (7, 10) and (5, 16) ? Thank you

butalik [34]

Answer:

m=-3

Step-by-step explanation:

m=y2-y1/x2-x1

m=16-10/5-7

m=6/-2

m=-3

4 0

2 years ago

What is the shape of the following distribution? {9, 10, 10, 11, 11, 12, 12, 13, 13, 13, 14, 14, 14, 14, 15, 15, 15, 15, 16, 16,

babunello [35]

The shape of the distribution with the following data set you gave is skewed to the left or negatively skewed. This is because the frequency of each number increases as its value increases.

7 0

3 years ago

A study of recent records of car accidents revealed that average proportion of drivers who were distracted by their phones at th

aksik [14]

Answer:

At least 547 records need to be studied.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence interval $1-\alpha$ , we have the following confidence interval of proportions.