The second number is 5 more than the first number squared
The sum of the first number squared and the second number is 7
Write a system to represent this relationship, and then solve for the two numbers

System:

y = x² + 5

x² + y = 7

Solution:

1 and 6

-1 and 6

Step-by-step explanation:

Let the first number be x

The second number be y

y = x² + 5

x² + y = 7

x² + x² + 5 = 7

2x² = 2

x² = 1

x = +/- 1

y = 1 + 5 = 6

There are two possible solutions:

x = 1 , y = 6

x = - 1 , y = 6

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