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### How do you find the acute angle between two intersecting lines whos equations are given in vector form?

For this question we first need to understand which angle it is we're calculating. When two lines intersect two pairs of equal and opposite angles are formed (4 angles total). We are looking to find the s...

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### The point P has coordinates (3, 4) The point Q has coordinates (a, b) A line perpendicular to PQ is given by the equation 3x + 2y = 7 Find an expression for b in terms of a

y = -3/2x + 7/2gradient = -3/2
y = 2/3x + c
sub in given values of x and y to find c
y = 2/3x + 2
sub in a and b, so:
b = 2/3a + 2

Answered by Usamah A. Maths tutor
2260 Views

### Solve: x^2+x-6=0

This is a quadratic equation. Its factorises to give: (x-2)(x+3)=0. Therefore there are two different solutions of this equation: x1=2 and x2=-3.

Answered by Marta B. Maths tutor
2444 Views

### A truck is carrying 8.5 tonnes of produce. Find the amount of produce the truck is carrying in kg.

1 tonne is equal to 1,000kg, so we get 8.5 tonnes ≡8.5×1,000= 8,500kg

Answered by Sarah J. Maths tutor
1437 Views