What is (2+y)³ |written out? Line AB has the equation 3x - 4y + 5 = 0. Point (p, p+2) lies on line AB. What is the value of p? |What is the gradient of line AB from the previous question?| Express √48 in the form n√3, where n is an integer.|A geometric series has first term 80 and common ratio 1/2. What are the next two terms?|
(2 + y) ^3 = y^3 + 6y^2 + 12y + 8
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3(p) - 4(p + 2) + 5 = 0
3p - 4p - 8 + 5 = 0
-p = 3
p = -3
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3x + 5 = 4y divide by 4 on both sides
y = (3/4)x + 5/4 ..... using y = mx+ b .... the slope (gradient) = m = 3/4
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√48 = √[16 * 3 ] = 4√3
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80, 40, 20
(2 + y) ^3 = y^3 + 6y^2 + 12y + 8
-------------------------------------------------------------------------------------------------
3(p) - 4(p + 2) + 5 = 0
3p - 4p - 8 + 5 = 0
-p = 3
p = -3
---------------------------------------------------------------------------------------------------
3x + 5 = 4y divide by 4 on both sides
y = (3/4)x + 5/4 ..... using y = mx+ b .... the slope (gradient) = m = 3/4
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√48 = √[16 * 3 ] = 4√3
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80, 40, 20