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2 answers:
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Answer:
31 = 2⁵ -1
31 = 16²- 15²
Step-by-step explanation:
As we know that
2¹=2
2²= 4
2³= 8
2⁴= 16
2⁵=32
So
32 = 2⁵
By subtracting 1 in bot sides
32-1 = 2⁵ -1
31 = 2⁵ -1
So
2⁵ -1 = 31
By comparing with
p= 5
As we know that
15²= 225
16² = 256
16²- 15² = 256-225 = 31
16²- 15² = (16+15)(16-15)
31 = (16+15)(16-15)
Answer:
9) x=58
10) r=4
11) m=4
12) p=3
13) x=6
14) x=-3
15) s=400
Step-by-step explanation:
9) x+2/5=12
x5 x5
x+2=60
-2 -2
x=58
10) 7r + 14 - 3r =30
-14 -14
<u>7r-3r</u>=16
4r=16
÷4 ÷4
r=4
11) m+2=6
-2 -2
m=4
÷ ÷
m=4
12) <u>2</u>(5p+9)=48
10p+18=48
-18 -18
10p=30
÷10 ÷10
p=3
13) <u>5</u>(2x-8)=20
10x-40=20
+40 +40
10x=60
÷10 ÷10
x=6
14)<u>6</u>(3-2x)=54
18-12x=54
-18 -18
-12x=36
÷-12 ÷-12
x=-3
15) -
=40
x5 x5
2s-=200
x2 x2
<u>2s-1s</u>=400
1s=400
÷1 ÷1
s=400