Answer:
Step-by-step explanation:
Since the denominators are common, add the numerators, leaving the denominator, that is
=
Hopes this helps:
Answer: 2793 with a remainder of 26.
(x² + 4x - 45)/(x² + 10x + 9)
<span>
Numerator = N = x² + 4x - 45 </span>
= x² + 9x - 5x - 45
= (x² + 9x) - (5x + 45)
= x(x + 9) - 5(x + 9)
= (x + 9)(x - 5)
<span>
Denominator = D = x² + 10x + 9 </span>
= x² + x + 9x + 9
= (x² + x) + (9x + 9)
= x(x + 1) + 9(x + 1)
= (x + 1)(x + 9)
<span>
Hence, the given expr. = N/D </span>
= {(x + 9)(x - 5)}/{(x + 1)(x + 9)
= (x - 5)/(x + 1)
<span>
Restrictions : x ≠ - 1, x = 5 </span>
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You write 3/5 ÷ 26/1. then you flip the second fraction, and make it multiplication, doing 3/5 × 1/26.
-4(z-12) = 42
First, we will get rid of the brackets by multiplying each term within the brackets by -4 as follows:
-4(z) - -4(12) = 42
-4z + 48 = 42
Then, we will isolate the term with the variable. To do so,we will simply subtract 48 from both sides as follows:
-4z+48-48 = 42-48
-4z = -6
Finally,we will get rid of the coefficient next to the variable by dividing both sides by -4.
The final result will thus be:
z = 3/2
