Total area = area rectangle + area of the triangle
= 8 * 13 + 0.5* 6 * (14-8)
= 122 unit^2
Answer:
If two lines are parallel, then they have the same gradient.
Step-by-step explanation:
L is y=3x-2
L*2 is 3y-9x+5=0
The gradient for the first equation is 3
We need to rearrange the second equation and see if it has the same gradient as the first equation.
L*2 is 3y-9x+5=0
3y = 9x - 5
L*2 y = 3x - 5/3
As you can see, once you rearrange and simplify the equation, the second line has the same gradient as the first equation.
So that means these two lines are parallel
Answer:
Step-by-step explanation:
George: x
Alex: x + 12
Carl: 3(x+12)
3x+36+x+x+12= 68
5x + 48 = 68
5x = 20
x = 4; George's age
4 + 12 = 16; Alex's age
3(4+12)= 3(16)= 48; Carl's age
George to Alex: 4:16 = 1:4
Alex to Carl: 16:48= 1:3
George to Carl 4:48= 1:12
Carl to Alex: 48:16 = 3:1
The question has a typo (It is 3 years older than 2/3 times Lily's age). I attached the correct question below.
Answer:
Lily is 24 years old
Explanation:
Assume that Lily's age is x and that Hilitary's age is y.
We are given that:
Hilitary's age is 3 years greater than 2/3 times Lily's age
This means that:
y = (2/3 x) + 3
Now, we are given that:
Hilitary's age is 19 years old.
This emans that : y = 19
Substitute with y = 19 in the above equation and solve for x as follows:
y = (2/3 x) + 3
19 = (2/3) x + 3
19 - 3 = (2/3) x
16 = (2/3) x
48 = 2x
x = 48/2
x = 24
Hope this helps :)