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A straight line passes through the point (2,1) and has a gradient of 3. Find the co-ordinates where the line crosses the x and y axes

m=3

y1=1

x1=2

y-y1=m(x-x1)

y-1=3(x-2)

y-1=3x-6

y=3x-5

at the x-axis, y=0. 

Sub in to find the x co-ordinate:

0=3x-5

x=5/3. Hence the c...

AC
Answered by Anna C. Maths tutor
3089 Views

How do I multiply mixed numbers?

Let's use the example of (2+3/4) x (1+5/7) The first step when given a question about mixed numbers is to turn them into top-heavy or improper fractions, so that the maths is easier. In the case of 2 + 3/...

NT
Answered by Natasha T. Maths tutor
2923 Views

ABC and DEF are similar isoceles triangles. AB=BC=5cm, AC=6cm, DF=12cm. What is the area of DEF?

We first split ABC into two right-angled triangles. We name the midpoint of AC, M. AM=1cm, and BM=sqrt(52-32)=4 by Pythagoras. The area of ABC =1/2ACBM=1/264=12. We...

PG
Answered by Peter G. Maths tutor
3273 Views

What is the partial fraction expansion of (x+2)/((x+1)^2)?

First we write the fraction in terms of partial fractions with two unknown numerators, A and B, as follows: (x+2)/(x+1)2 = A/(x+1) + B/(x+1)2

Note that since the denominator o...

KR
Answered by Kim R. Maths tutor
4276 Views

ABC is an acute-angled triangle. BA=7cm and BC=8cm. The area of triangle ABC is 18 cm^2 . Work out the size of angle BAC. Give your answer correct to 3 significant figures. You must show all your working.

Draw the triangle ABC and fill in the information given i.e. lengths of BA and BC and identify the angle we are looking for i.e angle BAC Looking at the formulas given identify which one...

AM
Answered by Anna M. Maths tutor
11156 Views

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