Consider two bases BequalsStartSet Bold b 1 comma Bold b 2 EndSet and CequalsStartSet Bold c 1 comma Bold c 2 EndSet for a vector space V such that Bold b 1 equals Bold c 1 minus 6 Bold c 2 and Bold b 2 equals 3 Bold c 1 plus 2 Bold c 2. Suppose xequalsBold b 1plus5Bold b 2. That is, suppose [Bold x ]Subscript Upper Bequals[Start 2 By 1 Matrix 1st Row 1st Column 1 2nd Row 1st Column 5 EndMatrix ]. Find [Bold x ]Subscript Upper C Baseline . Find [x]c

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3

v = 1/3 a^2h

step-by-step explanation:

if the height is 57.7cm and the height of the slant edge is 18.2cm, then the volume is 1/3 a^2h.