(geometry pls) what are the x- and y- coordinates of point p on the directed line segment from a to b such that p is 2/3 the length of the line segment from a to b?

(2, –1)

(4, –3)

(–1, 2)

(3, –2)

The x- and y- coordinates of point P on the directed line segment from A to B is

Further explanation:

Given:

The options of the point P are as follows.

a.

b.

c.

d.

Explanation:

The x-coordinate and y- coordinate of point P on the directed line segment from A to B such that P is the length of the line segment from A to B.

The given ratio is

The line intersect the points that are and

The slope of the line can be obtained as follows.

They-coordinate point P can obtain as follows,

Now start from point A and move point 10 units in upward direction.

The x-coordinate point P can obtain as follows,

Now start from point A and move point 10 units in left direction.

The x- and y- coordinates of point P on the directed line segment from A to B is

Option (a) is not correct as the coordinates of point P is

Option (b) is not correct as the coordinates of point P is

Option (c) is correct as the coordinates of point P is

Option (d) is not correct as the coordinates of point P is

Hence, is correct.

Learn more:

1. Learn more about inverse of the functionhttps://.

2. Learn more about equation of circle .

3. Learn more about range and domain of the function

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Linear inequalities

Keywords: numbers, slope, slope intercept, inequality, equation, linear equation, shaded region, y-intercept, graph, representation, origin, perpendicular, x-intercept 6.

answer: ratio of volume of cone (with 3 times the height and equal diameter) to volume of cylinder is 2 to 1. the value of π is not used.

step-by-step explanation:

radius is diameter/2 = 4.

area of circle is π r^2.

volume of cylinder is height × area of base = hπr^2 = 3(4^2) π = 48π cubic inches.

not knowing the formula for volume of cone, i calculate it using calculus (which is for calculating things).

volume of cone is integral 0 to h area(y) dy. area(y) is π r(y)^2. r(y) runs r to zero as y runs zero to h, r(0) = r, r(h) = 0.

r(y) = r - r/h y

area(y) = π (r - r/h y)^2 = π (r^2 - 2r^2y/h + r^2y^2/h^2) = π r^2(1-2y/h+y^2/h^2)

antiderivative area(y) = π r^2 (y-y^2/h+y^3/(3h^2))

integral 0 to h = π r^2(h-h^2/h+h^3/(3h^2) - (0)) = π r^2(h - h + h/3) = π r^2(h/3) = π/3 r^2 h

volume of this cone is π/3(4^2)18 cubic inches.

= 6 16 π = 96π cubic inches.

cone has twice the volume, 96/48.

cone height is 6 times the cylinder.

ratio of volume formula: π r^2 cancels.

cone over cylinder ratio is 6h/3 to h, 2 to 1.

step-by-step explanation:

left be aligning the decimal points is required to not required see the number of digits to the right