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A rectangle has an area of 20cm^2. Its length and width are enlarged by a factor of 3. Find the area of the enlarged rectangle.

I'd start by drawing out any rectangle with an area of 20cm^2 and labelling the length and width. Any correct combination will do (i.e. 2 X 10, 4 X 5, 20 X 1 etc.). In this example, I will use 4 X 5 Then mul...
DS
Answered by Daniel S. • Maths tutor
17411 Views

using the substitution u=6-x^2 integrate (x^3)/(6-x^2)^1/2 with respect to x, between 1 and 2

First we calculate du/dx = -2x and rearrange to get dx as the subject, dx=du/(-2x). Now we change the limits of integration because we are now integrating with respect to u. So the bottom limit will be u(1) ...
DB
Answered by Daniel B. • Maths tutor
5546 Views

Solve the quadratic equation 2(x^2) + 3x + 1 = 0

There are two ways to solve this equation. In the first method, we can simplify the quadratic by observation into two linear equations multiplied together, giving us (2x + 1)(x + 1) = 0. We can then set each...
JC
Answered by Joe C. • Maths tutor
5152 Views

Solve 3x^2 + 5x +2

By the quadratic formula, where a = 3, b = 5, c = 2 x = -2/3 and x = -1
HP
Answered by Hester P. • Maths tutor
4861 Views

What is the passive periphrastic and how do I translate it?

The passive periphrastic is a Latin construct to express a sense of necessity in an action. It's called passive because it is expressed in a passive tense, so it's usually better to change it back to its act...
SG
Answered by Stefania G. • Latin tutor
29430 Views