Answer:
so y=6x+43
Step-by-step explanation:
Slope is 6, so using y=mx+b
1=6(-7)+b, b = 43
so y=6x+43
Answer:
(x-3)^2+(y+2)^2=16
Step-by-step explanation:
center (h,k) radius r
(x-h)^2+(y-k)^2=r^2
C=10, C=90°, B=30°, A+B+C=180°
A+30°+90°=180°⇒A=60°
cos30°=a/c
cos30°=a/10⇒a=cos30°*10
a<span>≃8.6602
c²=a²+b²⇒b²=c²-a²
b²=10²-8.6602²⇒b²=25
b=5
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Answer:
To find the volume, we must find the area of the circle and multiply it by its height, think of a cylinder as an object made up of MANY circles. So, V=pir^2h... so diameter is 6cm so radius = 3cm...
therefore, Volume = (pi)(3^2)(12) = 108(pi)
where 12 = height 3 = radius
For the surface area, we need to find the area of the 2 circles(top and bottom ) so once again,
2(pi)(r^2) = 2(pi)(9)
for the area of the rectangle(if we unfold the cylindrical can) we get D(pi)(12) where D= Diameter
so the surface area is
SA = (2)(9)(pi) + 6(pi)(12)
SA = 18pi + 72pi = 90pi
Answer:
M=5
Step-by-step explanation:
2 ( 2m ) + 4 ( 4m + 2 ) = 108
step 1. do distributive property
4m + 16m + 8 = 108
step 2. add 4m and 16m and subtract 8 from 108
20m = 100
step 3. divide 100 by 20
m = 5
