Question

4)Find the distances with the help of the number line given below (i) d(B,E) (ii) d(J, A) (iii) d(P, C) (iv) d(J, H) SHOW THE STEPS. ​

Answer 1

Step-by-step explanation:

It is known that the distance between the two points is obtained by subtracting the smaller co-ordinate from larger co-ordinate.

(i) The coordinates of points B and E are 2 and 5 respectively. We know that 5>2.

∴ d(B, E) =5−2=3

(ii) The coordinates of points J and A are −2 and 1respectively. We know that 1>−2.

∴ d(J, A) =1−(−2)=1+2=3

(iii) The coordinates of points P and C are −4 and 3 respectively. We know that 3>−4.

∴ d(P, C) =3−(−4)=3+4=7

(iv) The coordinates of points J and H are −2 and −1 respectively. We know that −1>−2.

∴ d(J, H) =−1−(−2)=−1+2=1

(v) The co-ordinates of points K and O are −3 and 0 respectively. We know that 0>−3.

∴ d(K, O) =0−(−3)=0+3=3

(vi) The co-ordinates of points O and E are 0 and 5 respectively. We know that 5>0.

∴ d(O, E) =5−0=5

(vii) The co-ordinates of points P and J are −4 and −2 respectively. We know that −2>−4.

∴ d(P, J) = −2 − (−4) = −2 + 4 = 2

(viii) The co-ordinates of points Q and B are −5 and 2 respectively. We know that 2>−5.

∴ d(Q, B) =2−(−5)=2+5=7

Answer 2

Answer:

It is known that the distance between the two points is obtained by subtracting the smaller co-ordinate from larger co-ordinate.

(i) The coordinates of points B and E are 2 and 5 respectively. We know that 5>2.

∴ d(B, E) =5−2=3

(ii) The coordinates of points J and A are −2 and 1respectively. We know that 1>−2.

∴ d(J, A) =1−(−2)=1+2=3

(iii) The coordinates of points P and C are −4 and 3 respectively. We know that 3>−4.

∴ d(P, C) =3−(−4)=3+4=7

(iv) The coordinates of points J and H are −2 and −1 respectively. We know that −1>−2.

∴ d(J, H) =−1−(−2)=−1+2=1