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y=mx+c. If m=5, x= -3 and c=1, find y

First off multiply m and x together. This is -3*5 = -15. Next, add c to the previous result, so -15+1=-14. This gives y=-14

KK
Answered by Kamaal K. Maths tutor
3122 Views

Prove or disprove the following statement: ‘No cube of an integer has 2 as its units digit.’

This is a very standard proof question for the C3 exam. The first thing that I would do when I see wordy proof statements like this is to make sure I understand what it means. Maybe writing out the statem...

TD
Answered by Thomas D. Maths tutor
6324 Views

Solve the simultaneous equations: (1) y – 2x – 4 = 0 , (2) 4x^2 + y^2 + 20x = 0

Rearrange (1): y=2x+4

Subsitute this into (2): 4x2+(2x+4)2+20x=0

Simplify and collect like terms: 8x2+36x+16=0

Factorise: (2x+1)(x+4)=0

Therefo...

AT
Answered by Anastasia T. Maths tutor
3870 Views

A small stone is projected verically upwards from a point O with a speed of 19.6ms^-1. Modeeling the stone as a particle moving freely under gravity find the time for which the stone is more than 14.6m above O

S = 14.7, U = 19.6, V =,  A = -g, T = t

using s = ut + 1/2 at^2
14.7 = 19.6t + 1/2 -g t^2
1/2 g t^2 - 19.6t + 14.7 = 0

t = (19.6 +- sqrroot(-19.6- 4 * 0.5 * 9.8 * 14...

HB
Answered by Hamish B. Maths tutor
4509 Views

(i) Find the point(s) where the curve y=x^2-2x+1 crosses the x-axis, and (ii) find the coordinates of the vertex of the curve.

(i) Recall that a curve crosses the x-axis (the horizontal axis) when the vertical y-coordinate is zero, so we are required to find all the points such that y=0, that is we must solve the equation x2...

ET
Answered by Ethan T. Maths tutor
9169 Views

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