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____ [38]
3 years ago
8

How to find the solution of |a-4|=3a-6

Mathematics
1 answer:
Anika [276]3 years ago
6 0
For
|a|=b, solve for
a=b and a=-b

so

|a-4|=3a-6
solve
a-4=3a-6 and a-4=-(3a-6)

first one
a-4=3a-6
minus a from both sides
-4=2a-6
add 6 to both sides
2=2a
divide by 2
1=a

other

a-4=-(3a-6)
a-4=-3a+6
add 3a both sides
4a-4=6
add 4 to both sides
4a=10
divide by 4
a=10/4
a=5/2


a=5/2 and 1
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Joel biked 9 miles east and then 12 miles north. If he
Anastasy [175]

Answer:

36 miles

Step-by-step explanation:

His entire journey, represented with a diagram, is in the shape of a right angle triangle.

We need to first find the hypotenuse of the triangle, then, add all the sides together:

hyp² = opp² + adj²

hyp² = 9² + 12²

hyp² = 81 + 144 = 225

Find the square root of both sides:

hyp = 15 miles

Therefore, adding the three sides together:

Total distance traveled = 9 + 12 + 15

Total distance traveled = 36 miles

He would ride 36 miles altogether.

5 0
3 years ago
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Blakes goes from averaging 8 hours of sleep for a school night to averaging 6.5 hours of sleep on the weekend. What is the perce
beks73 [17]

Answer:

Step-by-step explanation:

So Blakes sleep 8 hours per night during the school day

8 hours/night...................................100%

6.5 hours/night...................................?

6.5*100/8=81.25

the change in percentage is 100-81.25=18.75%

the percentage change is 18.75

if it is easier for you, another method is:

8-6.5=1.5 subtract the original amount to the new amount

1.5/8=0.1875 divide by the original amount

0.1875*100=18.75 find the percentage

7 0
3 years ago
X — 5 < 3 OR x – 5 > 8
Vlad1618 [11]

Answer:

x<8 or x>13

Step-by-step explanation:

x-5 < 3

x < 3 + 5

x <8

OR

x – 5 > 8

x > 8 +5

x >13

combining the two, the combined answer for x is

x<8 or x>13

8 0
3 years ago
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What is the value of R, what is the value of EF
yarga [219]
9r - 6 = 8r + 3
r = 9
EF = 4r + 19 = 4(9) + 19 = 36 + 19 = 55

hope it helps
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2 years ago
Dahlia is simplifying (3 t) Superscript 4 using these steps:
DENIUS [597]

Answer:

D would be the answer

Step-by-step explanation:

Took the test got it correct <33 good luck

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