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Solve the simultaneous equations x^2 + y^2 = 9 and y = 3x + 3

y2 = (3x + 3)2 = 9x2 + 18x + 9

x2 + 9x2 + 18x + 9 = 9

10x2 + 18x = 0 (root a: x = 0)

5x + 9 = 0 (root b: x = -1.8)

AR
Answered by Alistair R. Maths tutor
4173 Views

What is the attachment theory?

The attachment theory was developed by Mary Ainsworth. This theory is used to describe the relationships that children between the ages of 1-2 develop with their primary caregiver (usually the mother). Th...

AC
2854 Views

How would you increase 400 by 7%

First, we'd want to find out what 1% of 400 is. If 400 is the total number, that would make 400 the whole 100%. In order to find out 1% we'd want to divide the number by 100 which is 4. Now that we know 1...

TT
Answered by Tharani T. Maths tutor
12575 Views

Given that sin(x)^2 + cos(x)^2 = 1, show that sec(x)^2 - tan(x)^2 = 1 (2 marks). Hence solve for x: tan(x)^2 + cos(x) = 1, x ≠ (2n + 1)π and -2π < x =< 2π(3 marks)

sin(x)2 + cos(x)2 = 1

Dividing by cos(x)2 gives:

tan(x)2 + 1 = sec(x)2 

Which rearranges as:

sec(x)2 - tan(x)<...

AR
Answered by Alistair R. Maths tutor
4015 Views

Find the exact length of side A in the triangle and give you answer in the simplest form. (It is a right angled triangle. Side C is (6+√(3)) and side B is (3 + 2√(3)).

a2 + b2 = c2    (Pythagoras' Theorem) 

a2 + (3 + 2√(3))(3 + 2√(3)) = (6 + √(3))(6 + √(3))    (Expanding brackets)

a2 + 9 + 6√(3) + 6√(3...

RA
Answered by Rebecca A. Maths tutor
4033 Views

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