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Solve the equation log2(x + 3) + log2(x - 3) = 4

log2(x + 3) + log2(x - 3) = 4log2 [(x + 3)(x - 3)] = 4x^2 - 9 = 16x^2 = 25x = 5
Answered by Maths tutor
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Find a vector that is normal to lines L1 and L2 and passes through their common point of intersection where L1 is the line r = (3,1,1) + u(1,-2,-1) and L2 is the line r = (0,-2,3) + v(-5,1,4) where u and v are scalar values.

We will use the cross product of these two vectors to help us find the perpendicular vector. The cross product works by finding a vector which has no effect on the position of a point with respect the the di...
AR
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What is a gene?

A gene is a small section of DNA which codes for a single protein. DNA is made up of a linear sequence of nucleic acids, which may be either A, T, C or G. Three nucleic acids make up a code for one amino aci...
RA
Answered by Rosie A. Biology tutor
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Work out the gradient and y-intercept of the straight line with points A(3,8) and B(-2,-7)

Y= mx + cFinding m : change in y/ change in x => (8--7)/(3--2) = 3Finding c : input a pair of coordinates => 8 = (3 x 3) + c .... c = -1y = 3x -1
KR
Answered by Kim R. Maths tutor
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What is the difference between type 1 and type 2 diabetes?

Type 1 diabetes is an auto-immune condition. The body has developed an immune response to the cells of the pancreas that produce insulin. Therefore, insufficient to no insulin is produced. Type 1 diabetes is...
JB
Answered by Jessica B. Biology tutor
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