Answer:
-12X-30
Step-by-step explanation:
No expressions were given, so it could be a different expression, but if you multiply out -6 to 2X and +5 then you end up with -12X-30 which is equivalent to -6(2X+5)
Answer n o
Step-by-step explanation:
3x3=9
2 3's therefore 3^2=9
3×3×3=27
3 3's therefore 3^3=27
Answer:
x = -9
Step-by-step explanation:
3^4х = 27^(x-3)
Replace 27 with 3^3
3^4х = 3^3^(x-3)
We know that a^b^c = a^ (b*c)
3^4х = 3^(3(x-3))
Since the bases are the same, the exponents are the same
4x = 3(x-3)
Distribute
4x =3x-9
Subtract 3x from each side
4x-3x = 3x-3x-9
x = -9
<h3>
Answer: 20 cm, 35 cm, and 50 cm</h3>
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Explanation:
The sides are in the ratio 4:7:10
This scales up to 4x:7x:10x showing that the sides are 4x, 7x and 10x. The variable x is some positive real number.
Add up the sides and set this equal to the given perimeter 105. Solve for x.
4x+7x+10x = 105
21x = 105
x = 105/21
x = 5
This value is then plugged into each side
- 4x = 4*5 = 20
- 7x = 7*5 = 35
- 10x = 10*5 = 50
The triangle has sides of 20 cm, 35 cm, and 50 cm.
Note how the ratio 20:35:50 reduces to 4:7:10 after dividing all three parts by the GCF 5. Also, we can see that 20+35+50 = 105 to fully confirm our answer.
