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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. x² + 11x +30=20. x²+ 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 prov...

Answered by Ryan D. • Maths tutor

11160 Views

Given the circumference x^2 - 2x + y^2 = 3, find the position of the center P and the value of the Radius. Then find the intercepts with the y axis and the tangent to the circumference at the positive y intercept.
Find center and radiusFrom completing the quadratic:
x^2 - 2x + 1 - 1 + y^2 = 3(x-1)^2 + y^2 = 4
hence, center P(1, 0) and radius R = sqrt(4) = 2
Find y intercept
Answered by • Maths tutor
3210 Views
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 ...
CS
Answered by Charles S. • French tutor
2060 Views
When do I need to make past participle agreements?
You should make the past participle agree with its subject in the following cases:
1) It is a past participle of an ordinary verb conjugated with ETRE E.g. je suis all...
AM
Answered by Aoife M. • French tutor
1822 Views
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Top answers

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

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.

Given the circumference x^2 - 2x + y^2 = 3, find the position of the center P and the value of the Radius. Then find the intercepts with the y axis and the tangent to the circumference at the positive y intercept.

What is the difference between the imperfect past tense and the simple past tense?

When do I need to make past participle agreements?

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