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P is ( 12,-6, 9) and Q (3, 18, -12). A is the point which divides PQ in the ratio 2: 1. Find the coordinates...

P is ( 12,-6, 9) and Q (3, 18, -12). A is the point which divides PQ in the ratio 2: 1. Find the coordinates of A and express PA in terms of i ,j and k.

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Kavungya answered the question on November 15, 2019 at 05:23

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Next: The matrix maps a quadrilateral with area 5 cm² on to a quadrilateral with area 25 cm. Find the possible value 25 cm². Find...

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The matrix maps a quadrilateral with area 5 cm² on to a quadrilateral with area 25 cm. Find the possible value 25 cm². Find... (Solved)

The matrix maps a quadrilateral with area 5 cm² on to a quadrilateral with area 25 cm. Find the possible value 25 cm². Find the possible values of x.

Date posted: November 15, 2019 . Answers (1)
Solve the equation log 3 + log (4x + 4) = 1 + log (2x – 2). (Solved)

Solve the equation log 3 + log (4x + 4) = 1 + log (2x – 2).

Date posted: November 15, 2019 . Answers (1)
A curve whose gradient function is dy/dx = 3x² +10x +3 passes through point (-2, -3) a) Find the equation of the curve b) i) Determine... (Solved)

A curve whose gradient function is dy/dx = 3x² +10x +3 passes through point (-2, -3)
a) Find the equation of the curve
b) i) Determine the turning points
ii) Sketch the curve

Date posted: November 14, 2019 . Answers (1)
a) Find M^-1 , the inverse of Mb) In the first term of a certain year, a mixed school bought sixty pairs of girls’... (Solved)

a) Find M^-1 , the inverse of M
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Date posted: November 14, 2019 . Answers (1)
The table below shows the number of letters collected from the post office by a school messenger during a school year. (i) Estimate the median of... (Solved)

The table below shows the number of letters collected from the post office by a school messenger during a school year.

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Date posted: November 14, 2019 . Answers (1)
The diagram below represents a conical vessel which stands vertically. The vessels contains water to a depth of 30cm. The radius of... (Solved)

The diagram below represents a conical vessel which stands vertically. The vessels contains water to a depth of 30cm. The radius of the surface in the vessel is 21cm. (Take ?? = 22/7)

a) Calculate the volume of the water in the vessels in cm³
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Date posted: November 14, 2019 . Answers (1)
(a) Draw the graph of y = 2 + 3x - x² in the range of - 3 = x = 6 on the grid... (Solved)

(a) Draw the graph of y = 2 + 3x − x² in the range of − 3 ≤ x ≤ 6 on the grid provided.
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Date posted: November 14, 2019 . Answers (1)
Draw a triangle ABC such that angle BAC = 90°, AC =5 cm and BC = 10 cm. i. Circumscribe a circle on the triangle... (Solved)

Draw a triangle ABC such that angle BAC = 90°, AC =5 cm and BC = 10 cm.
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Date posted: November 14, 2019 . Answers (1)
The diagram below represents the cross- section of a solid prism of length 3m. Calculate the volume of the prism in cm³. (Solved)

The diagram below represents the cross- section of a solid prism of length 3m.

Calculate the volume of the prism in cm³.

Date posted: November 14, 2019 . Answers (1)
Simplify the expression given by (Solved)

Simplify the expression given by

Date posted: November 14, 2019 . Answers (1)
Use square, square root and reciprocal tables only to evaluate the following giving your answer to 2 decimal places. (Solved)

Use square, square root and reciprocal tables only to evaluate the following giving your answer to 2 decimal places.

Date posted: November 14, 2019 . Answers (1)
Given that sin theta = 3/5 and 90⁰ = < = 180⁰ , find without using trigonometric tables, the value of 2 tan theta + 3 cos theta. (Solved)

Given that sin theta = 3/5 and 90⁰ = < = 180⁰ , find without using trigonometric tables, the value of
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Date posted: November 14, 2019 . Answers (1)
Form three inequalities that satisfy the unshaded region R. (Solved)

Form three inequalities that satisfy the unshaded region R.

Date posted: November 14, 2019 . Answers (1)
If the arc formed by two points on the circumference of circle of radius 2m subtends an angle of 37° at the center, find the... (Solved)

If the arc formed by two points on the circumference of circle of radius 2m subtends an angle of 37° at the center, find the arc length of the remaining part correct to two decimal places. (Take π =3.142)

Date posted: November 14, 2019 . Answers (1)
It is given that Determine [2p- 2q] correct to 2 d.p. (Solved)

It is given that Determine [2p− 2q] correct to 2 d.p.

Date posted: November 14, 2019 . Answers (1)
The cross sectional areas of two similar triangular prisms are 100cm² and 256cm². If the bigger prism has a volume of 3200cm³, calculate the volume... (Solved)

The cross sectional areas of two similar triangular prisms are 100cm² and 256cm². If the bigger prism has a volume of 3200cm³, calculate the volume of the smaller prism.

Date posted: November 14, 2019 . Answers (1)
Find an estimate of the area enclosed by the curve y = x³ – 5, the x – axis and the lines x = 3 x = 4 and x = 6 using the trapezium rule with 3 strips. (Solved)

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Date posted: November 14, 2019 . Answers (1)
Find the equation of the normal to the curve 2x² - 8y = 0 at the point (12,18). (Solved)

Find the equation of the normal to the curve 2x² - 8y = 0 at the point (12,18).

Date posted: November 14, 2019 . Answers (1)
A salesman is paid a commission of 10% on all sales worth K£ 10,000 and below and a commission of 15% on sales above K£... (Solved)

A salesman is paid a commission of 10% on all sales worth K£ 10,000 and below and a commission of 15% on sales above K£ 10,000. In one month she got Ksh 50,000 as commission, calculate the total worth of goods in Ksh sold in that month.

Date posted: November 14, 2019 . Answers (1)
Solve the equation 64^3x-1 ÷ 16^x+2 = 256^x × 42^x. (Solved)

Solve the equation 64^3x-1 ÷ 16^x+2 = 256^x × 42^x.

Date posted: November 14, 2019 . Answers (1)