Y = 4x - 9 and y = x-3 so the two right sides (4x-9 and x-3) must be equal
4x-9 = x-3
Let's solve for x
4x-9 = x-3
4x-9+9 = x-3+9 ... add 9 to both sides
4x = x+6
4x-x = x+6-x ... subtract x from both sides
3x = 6
3x/3 = 6/3 ... divide both sides by 3
x = 2
If x = 2, then y is...
y = 4*x - 9 = 4*2-9 = 8-9 = -1
which can also be found by
y = x-3 = 2-3 = -1
So overall x = 2 and y = -1
We have the ordered pair (x,y) = (2,-1)
Answer:
y = 16.
Step-by-step explanation:
The ratio of corresponding sides of similar triangles are the same.
The small and large triangles are similar ( - that is corresponding angles are congruent).
So 2/(2+8) = x / 20
2/10 = x/20
10x = 40
x = 4.
Therefore y = 20 -4 = 16.
Answer:
60 years
Step-by-step explanation:
Given that :
Sarah's age = a
Assume Sarah is older than 44 ; then a > 44
64 = 4 times difference between a and 44
Expressing the problem mathematically ;
64 = 4 * (a - 44)
64 = 4a - 176
64 + 176 = 4a
240 = 4a
a = 240 / 4
a = 60
Hence, Sarah is aged 60
Answer:
You are given the width of the garden which is w= 8 feet
length of the garden which l= 6 feet
the width of the walkway is x
so for every side of the garden there is an x
so length overall would be 8+2x (length of garden + x one side + x other side)
and width overall would be 6 + 2x (width of garden + x of one side + x of other side)
area of rectangle is length*width
so the expression would be (8+2x)*(6+2x)
:))) smile....
I hope it is correct.
Step-by-step explanation:
