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(x+6) and (x+5) are the length and width, respectively, of a rectangle with area 20. Calculate the width of the rectangle.

(x+6) (x+5)=20. x 2 + 11x +30=20. x 2 + 11x + 10 = 0. (x+10) (x+1)=0 . x=-1 and x=-10. width= -10+5=-5 (invalid solution). width =-1+5= 4. Checking through: (-1+6)*(-1+5)=20.
Answered by • Maths tutor
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Three points have coordinates A(-8, 6), B(4, 2) and C(-1, 7). The line through C perpendicular to AB intersects AB at the point P. Find the equations of the line AB and CP.

To find the equation of a line, we need; the gradient of that line and a point on that line. To find the gradient of a line, we require two points on the line which have been provided in the question. Equati...
RD
Answered by Ryan D. • Maths tutor
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What is the difference between the imperfect past tense and the simple past tense?

The imperfect past tense is used when:-speaking of an event in the past that has happened repeatedly (eg: tous les jours j'allais à l'école)-describing a person, object or event in the past (eg: il avait un ...
CS
Answered by Charles S. • French tutor
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What is the pluperfect tense and how is it formed?

The pluperfect tense is used when talking about events and actions that happened back in the past before a later time in the past where something else happened. It is the english equivalent of e.g. I had tak...
CP
Answered by Caterina P. • French tutor
2282 Views

Expand the brackets (3x^2 + 6x + 7)(x - 3)

To help the student understand how to expand the brackets I would start by splitting the equation to:3x 2 (x - 3) + 6x(x - 3) + 7(x - 3)I then would ask the student to expand these brackets to:3x 3 - 9x 2 + ...
JD
Answered by Jasmine D. • Maths tutor
3781 Views