Find the value of the unknown numbers

4 →  b

-1 →  e

-4 →  a

-5 →  c

Step-by-step explanation:

From the given figure, we can find the values of a,b,c,d and e

To find a

3 - a = 7

a = 3 - 7 = -4

To find b

-1 - b = -5

b = -1 + 5 = 4

To find c

4 - c = 9

c = 4 - 9 = - 5

To find d

3 - d = 1

d = 3 + 1 = 4

To find e

-1 - e = 0

e = -1

There for the correct matching is given below

4 →  b

-1 →  e

-4 →  a

-5 →  c

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this

a.

step-by-step explanation:

step 1 distribute 2 to every term in the parentheses

step 2 add 10 on both sides of the equal sign