Answer:
z>-9
Step-by-step explanation:
Let's call the younger student's age A and the older student's age B. The teacher's age will be T.
B = 2A
T = 5B
T+5 = 5(A+5)
Simplify the last equation.
T+5 = 5A+25
T = 5A+20
Now we have two equations solved for T, so we can set them equal to each other.
5B = 5A + 20
We can plug 2A in for B
5(2A) = 5A + 20
10A = 5A + 20
5A = 20
A = 4
To find T, we plug 4 in for A in T = 5A + 20
T = 5(4) + 20
T = 40
The answer is 40 years old.
90° becuase 60+30 = 90 and 90+90=180
The answer is 443 m^2
I explained it in the picture.
Hope it helps!
For this question you need to use what's called point-slope form. It's named this way because you can use it if you have both the slope and a point at which the line passes through. That said, the equation is as follows:
y - y1 = m(x - x1)
Both y1 and x1 represent the y and x coordinates you are given in the question. Also, m represents the slope of the line that you are given. Knowing this, our equation now looks like this:
y - 4 = -0.5(x - (-5))
And now simplify:
y - 4 = -0.5(x + 5)
y - 4 = -0.5x - 2.5
y = -0.5x + 1.5