Answer:
![r=\sqrt[3]{\frac{3v}{4} }](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B3v%7D%7B4%7D%20%7D)
Step-by-step explanation:
To solve for
:
(given)
(times
on both sides)
![r=\sqrt[3]{\frac{3v}{4} }](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B3v%7D%7B4%7D%20%7D)
I hope this helps :)
-17 because -5 is closer to 0 than -17
Answer:
8 and 12
Step-by-step explanation:
The perimeter of the given rectangle is ...
P = 2(L +W)
P = 2(14 +21) = 2(35) = 70
The scale factor to the similar triangle is ...
similar perimeter/original perimeter = 40/70 = 4/7
__
The dimensions of the similar triangle are the original triangle dimensions multiplied by this scale factor:
(14)(4/7) = 8
(21)(4/7) = 12
The sides of the similar triangle are 8 and 12.
Midpoint: M=(14,26)=(xm,ym)→xm=14, ym=26
One endpoint: A=(32,40)=(xa,ya)→xa=32, ya=40)
Other endpoint: B=(xb,yb)→xb=?; yb=?
xm=(xa+xb)/2
Replacing xm=14, and xa=32
14=(32+xb)/2
Solving for xb. Multiplying both sides of the equation by 2:
2(14)=2(32+xb)/2
28=32+xb
28-32=32+xb-32
-4=xb
xb=-4
ym=(ya+yb)/2
Replacing ym=26, and ya=40
26=(40+yb)/2
Solving for yb. Multiplying boths sides of the equation by 2:
2(26)=2(40+yb)/2
52=40+yb
52-40=40+yb-40
12=yb
yb=12
B=(xb,yb)→B=(-4, 12)
Answer: the coordinates of B are (4,12)
Answer:
The equation is in standard form
Step-by-step explanation:
Hope this helps