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Show the curve y = 4x^2 + 5x + 3 and the line y = x + 2 have exactly one point of intersection

The curve and the line will intersect when the two expressions are equal, so:4x2+ 5x + 3 = x + 2 (eliminating y and putting the expressions in terms of one variable).4x2+ 4x + 1 = 0(...

JH
Answered by Jacob H. Maths tutor
2984 Views

How are the lung's alveoli adapted for efficient diffusion?

The alveoli are like small sacks present at the base of the lung, and are the site of exchange between the air we breathe and our blood. This exchange occurs by the process of diffusion, for which alveoli...

EG
Answered by Eleanor G. Biology tutor
2395 Views

How should I organise the structure of a sentence when certain conjunctions or phrases are involved?

In German, there are two main groups of conjunctions; co-ordinating and subordinating.Co-ordinating conjunctions:Do not affect the word order or position of the verb in a sentence....

ML
Answered by Millie L. German tutor
2617 Views

Translate the following sentences into Latin : the girls were walking to the forum, the slave carries the master in the garden

The main thing to do when translating sentences is identifying what is the nominative ( subject), the accusative (object) and the verb. In the 1st sentence we can tell the girls, it is also important to r...

FM
Answered by finn m. Latin tutor
3391 Views

Factorise and find the solutions of the equation 6x^2 + 4x -10 = 0

6x2 + 4x - 10 = 0
6x2 + 10x - 6x - 10 = 0
2x(3x + 5) - 2(3x + 5) = 0
(2x - 2)(3x + 5) = 0
Case 1:
2x - 2 = 0
2x = 2
x = 1
Case 2:
3x +...

CH
Answered by Cathy H. Maths tutor
4516 Views

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