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Solve the two simultaneous equations. 1. x^2 + y^2 = 25, 2. y - 3x = 13

The way to solve simultaneous equations is to 'slot in' one equation into the other. For this question, we will use the information in equation 2 (after manipulating it) to solve equation one. First, we a...

Answered by Jazir L. • Maths tutor

3108 Views

Factorize x^2-x-20

Let's think backwards - what can we multiply to get this result?First, let's take a simpler example, an expression:(x-1)(x-2). We multiply 1st term of the 1st brackets by terms of the 2nd bracket and then...

Answered by Tomasz B. • Maths tutor

3208 Views

The equation f(x) =x^3 + 3x is drawn on a graph between x = 0 and x = 2. The graph is then rotated around the x axis by 2π to form a solid. What is the volume of this solid?

f(x) = x³+ 3x V = π ∫(f(x)²) dx V = π ∫₀²(x³+ 3x)(x³+ 3x) dx V = π ∫₀²(x⁶ + 6x⁴

Answered by Zac C. • Maths tutor

2945 Views

Jason and Mary leave their houses at the same time. They travel towards each other, Mary at 20km/h and Jason at 15km/h. They pass each other after an hour and a half. What was the original distance between them when they started?

Mary = 20km/h Jason = 15km/h s = d/t After 1.5 hours, Mary = 30km and Jason = 22.5km 30 + 22.5 = 52.5km

Answered by Zac C. • Maths tutor

2338 Views

Solve y = x^2 + 3x + 2 = 0

Factorising gives: y = (x+2)(x+1) = 0. y only equals 0 when (x+2)=0 or (x+1)=0. Therefore x=-2 or x=-1

Answered by Sean L. • Maths tutor

2413 Views

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