Answer:
9x^2 - 36x + 36 sq. ft. (the first option).
Step-by-step explanation:
Area of a square of side d = d^2.
So area of this square = (3x - 6)^2
= (3x - 6)(3x - 6)
= 3x(3x - 6) - 6(3x - 6)
= 9x^2 - 18x - 18x + 36
= 9x^2 - 36x + 36 sq ft.
Answer:
120
240
Step-by-step explanation:
We call the length of first part x
Length of second part = y
In the first scenario, it took the tortoise 110 sec to walk the first part and crawl the second.
So,
We have this equation,
x/4 + y/3 = 110
We take the LCM
(3x + 4y)/12 = 110
When we cross multiply
3x + 4y = 110x12
3x + 4y = 1320 ----- equation 1
For scenario 2
x/3 + y/4 = 100
When we take the LCM
(4x + 3y)/12 = 100
We cross multiply
4x + 3y = 100x12
4x + 3y = 1200 ------ equation 2
We now have two equations and we will solve for x and y using simultaneous linear equation.
3x + 4y = 1320 ----- 1
4x + 3y = 1200 ----- 2
We subtract equation 2 from 1 to get
- x + y = 120
We make y subject
y = x + 120 ----- 3
We put the value of y in equation 3 into equation 1
3x + 4(x + 120) = 1320
3x + 4x + 480 = 1320
7x + 480 = 1320
7x = 1320-480
7x = 840
We divide through by 7
x = 840/7
x = 120
We put value of x in equation 3
y = x + 120
y = 120 + 120
y = 240
120 and 240 are the lengths of the 2 parts of the journey.
Thanks
Answer:
x = 65 degrees
Step-by-step explanation:
x° + x° + 50° = 180°
2x + 50° = 180°
2x = 180° - 50°
2x = 130°
x = 130°/2
x = 65°
Answer:
9 number is composite is answer
Step-by-step explanation:
1,3,9 can be exactly divided by
I hope this is helpful!
Answer:
B
Step-by-step explanation:
Recall that if two functions, <em>f</em> and <em>g</em>, are inverses, then by definition:
Hence, the graph of f(g(x)) should be simply <em>y</em> = <em>x</em>.
Therefore, our answer is B, as both coordinates are equivalent for all three points.
