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When do I use the subjunctive in Spanish?

The subjunctive is a mood, not a tense. The other ‘moods’ would be the indicative and the imperative. The subjunctive also exists in English (“If I were rich, I would…”) but it is much more common in Span...

JK
Answered by Jasmine K. Spanish tutor
1810 Views

Prove the identity: (cos θ + sin θ)/(cosθ-sinθ) ≡ sec 2θ + tan 2θ

First rewrite right hand side in terms of sinθ and cosθ, because those are the terms we'll be dealing with on the left hand side: sec2θ+tan2θ = 1/cos2θ + sin2θ/cos2θ, so RHS = (1+sin2θ)/cos2θNow look at t...

MM
Answered by Margot M. Maths tutor
7764 Views

Simplify the following quadratic equation: 3x^2 + 20x - 500 = 0.

x = −b ± √(b2 − 4ac) / 2a
x = −20 ± √(202 − 4(3)(-500)) / 2(3)
x = (3x + 50) (x - 10)

AS
Answered by Aarnav S. Maths tutor
1524 Views

How would I go about solving 3(x-2) = x+7?

First of all, you want to try and get rid of the brackets so the equation is easier to simplify in the next steps. So you multiply the whole bracket by 3. So it is 3x-6 = x+7. Secondly, in order to solve ...

FA
Answered by Finn A. Maths tutor
7752 Views

Use of microorganisms is popular in medical research and industry. Give two reasons why microorganisms are commonly used.

cheap/inexpensive/low cost; grow/multiply/divide quickly; short life cycle; take up relatively little space; do not require high amounts of expertise to work with; genomes are understood well

KD
Answered by Kate D. Biology tutor
2215 Views

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