4. 3x-27 = 90
3x = 63
x = 21
5. 2x+30 = 60
2x = 30
x = 15
Answer:
D
Step-by-step explanation:
Answer:
10π
Step-by-step explanation:
The circumference of a circle is the distance of the outside of the circle. The formula for circumference is C=2πr.
In the question, you are given the diameter. Diameter is the radius times 2. So, to find the radius you can divide the diameter by 2. Since, 10cm/2 is 5 cm, 5cm is the radius.
Then, plug this information into the formula to solve for C.
This means that, in terms of pi, the circumference is 10π cm.
Let's start by the first column. The symbol ~ means negation. ~s will be the opposite of s.
Since s from top to bottom is T F T F, ~s will be F T F T(from top to bottom).
The second symbol that appears is ∧. This symbols means that p∧q is only true when both p and q are true. It needs to satisfy both of them.
From top to bottom, in the first line for ~s∧r we have ~s false and r is true, since ~s is false the combination is also false. For the second line, we have ~s true and r is true, since both are true the combination is also true. and in the last 2 elements, we have a false r which indicates both of them are also false.
This means, the second column will be F T F F(from top to bottom).
Well you can graph it by plotting 3 points then drawing a line through these 3 points. The graph will be a straight line . By plotting 3 points you can be more sure if you are right, because if you make a mistake then they might not make a straight line.
Put y = 0 in the equation and find the x coordinate:-
x + 5(0) = -20
x = -20
So we have one point to plot:- (-20,0)
Putting x = 0 we get 5y = -20 so y = -4
Second point:- (0, -4)
Putting x = 5 say we get 4 + 5y = -20 so y = -25/5 = -5
so our 3rd point is (5, -5)
