Answer: 46 years
Step-by-step explanation:
Let the father's age be x and the son's age be y, then 3 years ago:
Father = x - 3
son = y - 3
Then , from the first statement :
x - 3 = 3 ( y - 3 )
x - 3 = 3y - 9
x = 3y - 9 + 3
x = 3y - 6 .......................................... equation 1
In five years time
father = x + 5
son = y + 5
Then , from the second statement
x + 5 = 2 ( y + 5 )
x + 5 = 2y + 10
x = 2y + 10 - 5
x = 2y + 5 ........................ equation 2
Equating equation 1 and 2 , we have
3y -6 = 2y + 5
add 6 to both sides
3y = 2y + 5 + 6
subtract 2y from both sides
3y - 2y = 11
y = 11
substitute y = 11 into equation 1 to find the value of x
x = 3y - 6
x = 3(11) - 6
x = 33 - 6
x = 27
This means that the father is presently 27 years and the son is presently 11 years.
In four years time
father = 27 + 4 = 31
son = 11 + 4 = 15
sum of their ages in four years time will be
31 + 15 = 46 years
Well, the slope for each side is simple.
All you have to do to remember slope is rise over run.
So for example:
For Vertices E and F the Slope would be 3/9
For Vertices G to H the slope would be 3/9
For vertices G to F the slope would be 6/2
For vertices H to E the slope would be 6/2
What do you notice about slopes on opposite sides?
Answer:
( H to E,and G to F) Have the same slope
(And G to H and E to F.) Have the same slope.
What do you notice about slopes of adjacent lines?
adjacent means adjoining or next to. So can you figure this question out? Using the information above?
if there are 4 numbers that average to 60, when mutiplied they must come up to: 60*4= 240
100+30+45= 175
240-175= 65
PROOF:
100+30+45+65= 240
240÷ 4
= 60
Y = -10/3x + 13
All you need to do is get the slope of the line and then find the opposite reciprocal. Then plug in the point into your equation that just has the slope in it. After that find b and write out your equation.
Answer: Do you have any options? and is one of the options 8 ?
Step-by-step explanation: