Answer:
15 units
Step-by-step explanation:
By using the Pythagoras Theorem,
C^2 = A^2 + B^2
Substitute in the given values,
25^2 = a^2 + 20^2
625 = a^2 + 400
625 - 400 = a^2 + 400 - 400
a^2 = 225
= 15
Hope this too helped! ^^
I'd recommend watching a video or two on the topic of Pythagoras Theorem, if this explanation isn't clear enough.
-3 ≤ 6x - 6 < 39 (seperate into two inequalities)
6x - 9 ≥ -3
6x - 9 < 39 (solve the inequalities)
x ≥ 1
x < 8 (find the intersection)
x ∈ { 1 , 8 }
Answer:
10
Step-by-step explanation:
There are two ways to do this but the way I prefer is to make one of the equations in terms of one variable and then 'plug this in' to the second equation. I will demonstrate
Look at equation 1,
this can quite easily be manipulated to show
.
Then because there is a y in the second equation (and both equations are simultaneous) we can 'plug in' our new equation where y is in the second one
which can then be solved for x since there is only one variable
and then with our x solution we can work out our y solution by using the equation we manipulated
.
So the solution to these equations is x=-2 when y=6
Answer:
the answer should be A
Step-by-step explanation:
Hope this helps!
