Find by means of a vector( quantity) diagram . The resultant of two forces of 7 newton and 3 newton acting at right angle to one another

The resultant of two forces of 7N and 3N acting at a right angle to one another is √58 N.

Step-by-step explanation:

Let the magnitude of the force of 7N be denoted as “F₁” on the x-axis and the magnitude of the force of 3N be denoted as “F₂” on the y-axis.

We are given that the two forces make an angle of 90° to one another as shown in the figure attached below.

Also, in the figure, we can see that the resultant force is denoted as “F”.

Now,  

The magnitude of the resultant force can be calculated by using the Pythagoras theorem,  

∴ F = √[F₁² + F₂²]

⇒ F = √[7² + 3²]

⇒ F = √[49 + 9]

⇒ F = √[58] N

h. . . .. . .

. . . . . . . . . . . . . .. .

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

question 1: step-by-step explanation:

1/4 of 84 = 84÷4= 21