Find the coordinates of the point 3/10 of the way from A to B.

Answers

Answer 1

Answer:

Final answer:

To find a point that is 3/10 of the way from point A to B, we scale the vector from A to B by 0.3. To find the x and y coordinates of this point, we use the formula X = x1 + 0.3 * (x2 - x1) and Y = y1 + 0.3 * (y2 - y1) respectively.

Explanation:

The question asks us to find the coordinates of a point that is 3/10 (or 30%) of the way from point A to B. This involves using the idea of vector addition and scalar multiplication in mathematics.

Let's represent the journey from point A to B as the vector AB. You can consider vector AB to be generated by some coordinates (x1, y1) at point A and some (x2, y2) at point B. If we are trying to locate a point that is 3/10 along the way from A to B, it is like scaling the vector AB by 0.3 (3/10).

To find the x and y coordinates of that point, we would calculate it as follows:

X-coordinate = x1 + 0.3 * (x2 - x1)
Y-coordinate = y1 + 0.3 * (y2 - y1)

As a result, by substituting the coordinates of point A and B into these equations, we can find the coordinates of the point that is 3/10 of the way from point A to B.

Learn more about Vector Addition here:

brainly.com/question/35874968

#SPJ12

Answer 2

Answer:

Final answer:

To find the coordinates of a point 3/10 of the way from point A to point B, we can use the concept of midpoint formula. The coordinates of A are (11,7) and the coordinates of B are (-3,-6). Using the midpoint formula, we can calculate the coordinates of the desired point are (6.8, 3.1).

Explanation:

To find the coordinates of a point that is 3/10 of the way from point A to point B, we can use the concept of midpoint formula. The midpoint formula states that the coordinates of the midpoint between two points (x1, y1) and (x2, y2) can be found by taking the average of the x-coordinates and the average of the y-coordinates. In this case, the coordinates of A are (11,7) and the coordinates of B are (-3,-6). So, we can find the coordinates of the point 3/10 of the way from A to B by taking 3/10 of the difference between the x-coordinates and adding it to the x-coordinate of A, and taking 3/10 of the difference between the y-coordinates and adding it to the y-coordinate of A. Let's calculate it step by step:

x-coordinate: (3/10)(-3 - 11) + 11 = (3/10)(-14) + 11 = -4.2 + 11 = 6.8

y-coordinate: (3/10)(-6 - 7) + 7 = (3/10)(-13) + 7 = -3.9 + 7 = 3.1

So, the coordinates of the point that is 3/10 of the way from A to B are (6.8, 3.1).

Learn more about Midpoint formula here:

brainly.com/question/30242630

#SPJ12

Related Questions

Lucio is buying candy. He buys 1.5 pounds of gummy bears which cost $1.88 per pound and 0.8 pounds of caramels which cost $2.75 per pound. What is the total cost of the candy?
HELP PLS Could use some assistance
The number line below shows points A B C D and Ea. subtracting 2 from point e b. adding -4 to point b c. adding -9 to point a d. subtracting 14 from point c
For every 2 books that Tom buys, he can buy 3 magazines. If he pays $60 fo 4 books and 4 magazines, how much does he have to pay for each book?
A random sample of size 100 was taken from a population. A 94% confidence interval to estimate the mean of the population was computed based on the sample data. The confidence interval for the mean is: (107.62,129.75). What is the z-value that was used in the computation. Round your z-value to 2 decimal places.

How do you do this question?

Answers

Step-by-step explanation:

∫ dt / (cos²(t) ⁹√(1 + tan(t)))

If u = 1 + tan(t), then du = sec²(t) dt.

∫ du / ⁹√u

∫ u^(-1/9) du

9/8 u^(8/9) + C

9/8 (1 + tan(t))^(8/9) + C

If the legs of a right triangle measure 10 meters and
24 meters, how long is the hypotenuse?

Answers

Answer:

26 meters

Step-by-step explanation:

A Gentoo penguin can swim at a rate of 17 miles per hour. How many miles can a penguin swim in four hours. Use the expression rt, where r represents rate and t represents time

Answers

Penguin can swim 68 miles in four hours.

What is Rate?

A rate is defined as the ratio which is used to compare two different types of quantities that have different units.

Unit rate defines the ratio of the amount of one quantity with respect to the single unit of the other quantity. Or in other words, the denominator of unit rate will be always 1.

Here we have the unit rate as 17 miles per hour.

Here unit rate is defined in terms of distance covered per time which is actually the speed of penguin.

We have to the distance covered by the penguin in 4 hours.

Rate = Distance / Time

⇒ Distance = Rate × Time

= 17 × 4

= 68 miles

Hence, penguin can swim 68 miles in 4 hours if the rate of swimming is 17 miles per hour.

To learn more about Rate, click:

brainly.com/question/29781084

#SPJ2

r*t =
17 mile per hr x 4 hours =68

Which of the following is the correct factorization of the polynomial below? 8x3 + 64y3 A. (4x + 4y) (2x+8y) B. (2x + 4y)(4x2 - 8xy + 16y2) C. (4x + 2y)(4x2 - 2xy + 16y?) D. The polynomial is irreducible.

Answers

Answer:

B. (2x+4y)(4x2-8xy+16y2)

Step-by-step explanation:

hope this helps!

The other answer choice is 30

Answers

Answer:

21 pencils

Step-by-step explanation:

b 21 pencils

A cylindrical package to be sent by a postal service can have a maximum combined length and girth (perimeter of a cross section) of 141 inches. Find the dimensions of the package of maximum volume that can be sent. (The cross section is circular.)