Question

Pls help with year 8 maths

Answer 1

see explanation

Explanation:

Given a point (x, y ) then its distance from the origin is

d =
`√(x^2+y^2)`

(a) (2, 3 ) , then

d =
`√(2^2+3^2)`

=
`√(4 + 9)`

=
`√(13)` ≈ 3.6 units ( to 1 dec. place )

------------------------------------------------

(b) ( - 5, 7 ) , then

d =
`√((-5)^2+7^2)`

=
`√(25+49)`

=
`√(74)` ≈ 8.6 units ( to 1 dec. place )

-------------------------------------------------

(c) (- 1, 4 )

d =
`√((-1)^2+4^2)`

=
`√(1+16)`

=
`√(17)` ≈ 4.1 units ( to 1 dec. place )

------------------------------------------------------

(d) (- 4, - 5 ) , then

d =
`√((-4)^2+(-5)^2)`

=
`√(16+25)`

=
`√(41)` ≈ 6.4 units ( to 1 dec. place )

Answer 2

a) 1

b)11

c)4

d)1

I hope it helps you...