Determine whether b can be written as a linear combination of Bold a Subscript Bold 1, Bold a Subscript Bold 2, and Bold a Subscript Bold 3. In other words, determine whether weights x 1, x 2, and x 3 exist, such that x 1Bold a Subscript Bold 1plusx 2Bold a Subscript Bold 2plusx 3Bold a Subscript Bold 3equalsb. Determine the weights x 1, x 2, and x 3 if possible. Let Bold a Subscript Bold 1equals[Start 3 By 1 Matrix 1st Row 1st Column 1 2nd Row 1st Column 2 3rd Row 1st Column negative 3 EndMatrix ], Bold a Subscript Bold 2equals[Start 3 By 1 Matrix 1st Row 1st Column negative 3 2nd Row 1st Column negative 4 3rd Row 1st Column 1 EndMatrix ], Bold a Subscript Bold 3equals[Start 3 By 1 Matrix 1st Row 1st Column 2 2nd Row 1st Column 1 3rd Row 1st Column 6 EndMatrix ], and bequals[Start 3 By 1 Matrix 1st Row 1st Column 2 2nd Row 1st Column 6 3rd Row 1st Column 5 EndMatrix ].

the answer is b: 18

step-by-step explanation:

use the pythagorean theorem to .

a^2+b^2=c^2

plug 18 for "r"

the 2 legs are 18 and 24

18^2+24^2=c^2

324+576=c^2

900=c^2

c=30

30-12=18

18 is the radius

: )

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .

many reason,

step-by-step explanation: