Answer:
Step-by-step explanation:
12x² + 17x -5 = 12x² + 20x - 3x - 5
= 4x(3x + 5) -(3x + 5)
= (3x + 5)(4x - 1)
6x² + 7x - 5 = 6x² + 10x - 3x - 5
= 2x(3x + 5) -(3x+5)
= (3x + 5)(2x - 1)
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To easily convert repeating decimals into fraction most of them will have a denominator of 3, 7, or 9. Or multiples of those numbers. Note these are mainly prime. There are videos to help walk you through the process. In your situation 2 places are repeating which means you take the numbers/99.
If you had 3 or 4 repeating decimals you would divide by 999 or 9999.
Many times the fractions can be simplified but in your case it cannot be simplified.
Your answer is<u> 1 and 32/99</u>
21.
the equation of a circle with center at (h,k) and radius r is
(x-h)²+(y-k)²=r²
so
(x-1)²+(y-2)²=5²
(x-1)²+(y-2)²=25
22.
the equation of a circle with center at (h,k) and radius r is
(x-h)²+(y-k)²=r²
so
(x-(-3))²+(y-5)²=2²
(x+3)²+(y-5)²=4
40 / [20 - 4(7-4)]...u have to do what is in the brackets first
40 / [ 20 - 4(3)]
40 / [ 20 - 12]
40 / 8
5 <===
Answer: 53 and 54
Explanation
Let the consecutive numbers be x and x + 1
ATQ
x + x + 1 = 107
2x = 107 - 1
x = 106/2
x = 53
Therefore the numbers are 53 and 54
Must click thanks and mark brainliest