Answer:
y=-1/2x-5
Step-by-step explanation:
First we need to put (y-3)=2(x-4) in slope intercept form.
we need to do order of operations....
so we need to first do the parenthesis
x*2= 2x
2*-4= -8
y-3=2x-8
add 3 on both sides to isolate y
y= 2x-5
so now we know the y=mx+b form
this is one line...
now we need to find out what line is perpendicular.
Perpendicular lines have opposite reciprocals slopes.
y=-1/2x-5
The area of each triangular face is
.. A = (1/2)*b*h
.. Aside = (1/2)*(6 cm)*(5 cm) = 15 cm^2
The area of the triangular base is
.. Abase = ((√3)/4)*s^2 = (√3)/4*(6 cm)^2 = 9√3 cm^2
The total surface area is the base area plus the area of the three sides.
.. Atotal = Abase + 3*Aside
.. = 9√3 cm^2 +3*15 cm^2
.. = (45 +9√3) cm^2
.. ≈ 60.6 cm^2
Actually, there's an error in the picture. The height of the side should be 4, and the length of the edge should be 5. Making that adjustment, the total area is 51.6 cm^2.
It is hard to tell what is intended. Not all answers are showing, so we can't "reverse-engineer" the problem from the answers.
Answer:
12.5 s
Step-by-step explanation:
If acceleration is constant, speed is proportional to time. To increase the speed by 50 km/h, the car will need an additional time given by ...
t/(50 km/h) = (20 s)/(80 km/h)
t = (20 s)(50/80) . . . . . multiply by 50 km/h
t = 12.5 s
It will take 12.5 more seconds for it to reach a speed of 130 km/h.
63 is the answer to your problem. Hope this helps!
