To find a perpendicular line, you must flip the slope over and make it negative. So, the perpendicular slope would be -4/3. Plug the point into this slope equation and solve for the y intercept. 11 = -4/3(-5) + b. b = 13/3. So, the line would be y = -4/3(x) + 13/3
Answer:
30x + 30y +30
Step-by-step explanation:
Answer:
True, see proof below.
Step-by-step explanation:
Remember two theorems about continuity:
- If f is differentiable at the point p, then f is continuous at p. This also applies to intervals instead of points.
- (Bolzano) If f is continuous in an interval [a,b] and there exists x,y∈[a,b] such that f(x)<0<f(y), then there exists some c∈[a,b] such that f(c)=0.
If f is differentiable in [0,4], then f is continuous in [0,4] (by 1). Now, f(0)=-1<0 and f(4)=3>0. Thus, we have the inequality f(0)<0<f(4). By Bolzano's theorem, there exists some c∈[0,4] such that f(c)=0.
Answer:
180cm3
Step-by-step explanation:
4x12x3=144
2x2x9=36
144+36=180cm3
Answer:
C
Step-by-step explanation: