If (1,-1) is a point on the line 2x-(2a+5)y=5 then find the value of a

Step-by-step explanation:

Since ( 1 , -1) is a point on the line 2x-(2a+5)y=5 we can substitute it into the equation to find a

We have

2(1) - (-1)(2a + 5) = 5

Multiplying two negatives make a positive

That's

2 + 2a + 5 = 5

2a + 7 = 5

Group like terms

Send the constants to the right side of the equation

That's

2a = 5 - 7

2a = - 2

Divide both sides by 2

That's

We have the final answer as

Hope this helps you

1. minimum

2. 6400

3. eight

hope this !

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."