A boy walks 1000 m at an average speed of 4 km / h and then runs 22 km in 10 minutes. A) Calculate his time in minutes he takes to walk the I000 m
B) his running speed in kilometres per hour
C) his average speed for the whole distance

Distance = speed / time

A) 1 = 4/t

t = 0.25 hours

B) 22 = s/10

Speed = 132 km/hr

C) (4+132)/2

136/2 = 68 km per hour

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