Answer:
64
Step-by-step explanation:
4a(3b+5)+2b
Substitution
4(6)[3(7)+5]+2(7)
Order of operations (PEMDAS)
4(6)[21+5]+2(7)
4(6)+26+2(7)
24+26+14
50+14
64
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Answer:
BC = 30
Step-by-step explanation:
AC = 48, AC = AB + BC, AB = 2x + 2 , BC = 3x + 6 => AC = 2x + 2 + 3x + 6 =>
=> AC = 5x + 8 , AC = 48 => 5x = 40 => x = 8 , BC = 3x + 6 => BC = 24 + 6 = 30
Answer:
There are 2 solutions x=0 x=4
Step-by-step explanation:
2 | 6-3x| +4 = 16
Subtract 4 from each side
2 | 6-3x| +4 -4= 16-4
2 | 6-3x| = 12
Divide by 2
2/2 | 6-3x| = 12/2
| 6-3x| = 6
Now set what is inside the absolute value equal to plus and minus what is on the right side
6-3x = 6 or 6-3x = -6
Subtract 6 from each side
6-6-3x = 6-6 or 6-6-3x = -6-6
-3x =0 -3x = -12
Divide by -3 on each side
-3x/-3 =0/-3 -3x/-3 = -12/-3
x =0 x=4
There are 2 solutions x=0 x=4
Your question is calling the figure ABCD, but the image is showing PQRS
Using the letters that you wrote:
Because the figure was only rotated and not scaled , the sides with the same letters would still be the same
So AB would be the same as A'B' ( Length of AB = Length of A′B)
and
BC = B'C'
CD = C'D'
AD = A'D'
Or by the picture:
PQ = P'Q'
QR = Q'R'
RS = R'S'
PS = P'S'