What are the coordinates of the point on the directed line segment from (-6, -3) to(5,8) that partitions the segment into a ratio of 6 to 5?

Answers

Answer 1
Answer:

Given:

A point divides a directed line segment from (-6, -3) to (5,8) into a ratio of 6 to 5.

To find:

The coordinates of that point.

Solution:

Section formula: If point divides a line segment in m:n, then the coordinates of that point are

Point=\left((mx_2+nx_1)/(m+n),(my_2+ny_1)/(m+n)\right)

A point divides a directed line segment from (-6, -3) to (5,8) into a ratio of 6 to 5. Using section formula, we get

Point=\left((6(5)+5(-6))/(6+5),(6(8)+5(-3))/(6+5)\right)

Point=\left((30-30)/(11),(48-15)/(11)\right)

Point=\left((0)/(11),(33)/(11)\right)

Point=\left(0,3\right)

Therefore, the coordinates of the required point are (0,3).


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A line passes through the point (2, 7) and has a slope of 4. What is the equation of the line?

Answers

Answer:

y=4x-1

Step-by-step explanation:

Remember the point slope form equation y-y1=m(x-x1) where m is the slope and the given point is (x1,y1)

y-7=4(x-2) . Plug in the numbers for the equation

y-7=4x-8   distributive property

y = 4x-1

y=4x-1 is the equation that passes through (2,7)

Line g has a slope of 9/5. line h is perpendicular to g. what is the slop of line h?

Answers

Answer:

-5/9

Step-by-step explanation:

Note. If the line is parallel, then the slope is shared. If the line is perpendicular (directly opposite), it means to flip the sign as well as the fraction.

The slope of line g is 9/5. This means that the slope of line h, (which is perpendicular to line g), would be the opposite, or -5/9

-5/9 is your answer.

~

I need some help with this calculus 1 implicit diffrention problem?

Answers

Answer:

y" = -24 / y³

Step-by-step explanation:

6x² + y² = 4

Take the derivative of both sides with respect to x.

12x + 2y y' = 0

Again, take the derivative of both sides with respect to x.

12 + 2y y" + y' (2y') = 0

12 + 2y y" + 2(y')² = 0

Solve for y' in the first equation.

2y y' = -12x

y' = -6x/y

Substitute and solve for y":

12 + 2y y" + 2(-6x/y)² = 0

12 + 2y y" + 2(36x²/y²) = 0

12 + 2y y" + 72x²/y² = 0

6y² + y³ y" + 36x² = 0

y³ y" = -36x² − 6y²

y" = (-36x² − 6y²) / y³

Solve for y² in the original equation and substitute:

y² = 4 − 6x²

y" = (-36x² − 6(4 − 6x²)) / y³

y" = (-36x² − 24 + 36x²) / y³

y" = -24 / y³

Please help as soon as you can :(Alicia rolls two fair number cubes numbered from 1 to 6. She first defines the sample space, as shown below:
(1, 1), (1, 2), (1, 3), (1, 4), (1, 5,) (1, 6)
(2, 1), (2, 2), (2, 3), (2, 4), (2, 5,) (2, 6)
(3, 1), (3, 2), (3, 3), (3, 4), (3, 5,) (3, 6)
(4, 1), (4, 2), (4, 3), (4, 4), (4, 5,) (4, 6)
(5, 1), (5, 2), (5, 3), (5, 4), (5, 5,) (5, 6)
(6, 1), (6, 2), (6, 3), (6, 4), (6, 5,) (6, 6)
Based on the sample spaces, what is the probability of getting a total of 7?

A.) 4/36
B.) 5/36
C.) 6/36
D.) 8/36

Hope you can help!

Answers

The answer is C
hope this helped...

Answer:

6/36

(C.)

I hope this helps you if it hasn't already! Bye.

+ AlpQLScihp oans IbEmC-HAVOXMXB3Betzzi9sI8550WzDcwaron have a spinner divided into 8 equal sections. Each section is bered with a number 1 through 8. Salma is going to spin the spinner 1600 times. Theoretically, how many times should she land on a 1, 2, 3​

Answers

Answer:

Salma should land her spinner on a 1, 2 or 3 about 600 times.

Step-by-step explanation:

Since Salma has a spinner divided into 8 equal sections, and each section is bered with a number 1 through 8, and Salma is going to spin the spinner 1600 times, to determine, theoretically, how many times should she land on a 1, 2, 3 the following calculations must be performed:

8 = 100

3 = X

3 x 100/8 = X

300/8 = X

37.5 = X

100 = 1600

37.5 = X

37.5 x 1600/100 = X

60000/100 = X

600 = X

Therefore, Salma should land her spinner on a 1, 2 or 3 about 600 times.

What does 4x+y=5 in finding x and y intercepts?​

Answers

Answer: X=5/4 Y=5

Step-by-step explanation: