Logbx+logby-logbz
=logb(x*y)/z if b is the base of log.
There are two properties that you can apply to get the correct answer.
logb(x*y)=logbx+logby if b is the base of log.
logb(x/y)=logbx-logby if b is the base of log, so the correct answer for logbx+logby-logbz=logb(x*y)/z. Hope it help!

3 0

2 years ago

A solid cuboid has a volume of 40cm^3

NikAS [45]

A cuboid is a box-shaped object. It has six sides and all are perpendicular

Formula for volume is:
V=a*b*c
Formula for a surface area is:
A=2*(ab+bc+ac)

We start writting down given information:
V=40cm^3
A=100cm^2
a=2cm

Now we insert this information into formulas:
40=2*b*c
100=2*(2b+bc+2c)

Now we divide both equations by 2:
20=bc
50=2b+bc+2c

We solve first equation for b and insert it into second equation:
b=20/c
50=2*20/c+20/c*c+2c

Now we solve for c:
50=40/c+20+2c
30=40/c+2c
30c-40-2c^2=0
2c^2-30c+40=0
c^2-15c+20=0
c1=13,52
c2=1,48

We got two solutions for c so we will get two solutions for b:
b1=1,48
b2=13,52

Now we know:
a=2cm
b=1,48cm
c=13,52cm

Formula for a diagonal is:
$D= \sqrt{ a^{2} + b^{2} + c^{2} } \\ \\ D= \sqrt{ 2^{2} + 1,48^{2} + 13,52^{2} } \\ \\ D=13,74cm$

8 0

3 years ago

Translate the triangle 4 units right and 3 units down. What are the coordinates of the image?

Sauron [17]

If we translated the triangle 4 units right and 3 units down, then our new points would be J' (3,0) K' (3,-2) L' (0,-2). Hope this helped!

-TTL

7 0

3 years ago