Add and Simplify 9/12+1/2

2 answers:

8 0

Step One: Since when you add and subtract fractions they need to have the same denominator. So you find the least common denominator. Which is 6.

Step Two:So, now you have your least common denominator. Now you multiply 1/2 * 6. Remember whatever you do to the bottom you do to the top. So you multiply 2 and 6, then multiply 1 and 6. Which will leave you with 6/12.

Step Three:Now you add the numerator. Remember you the denominator ALWAYS STAYS THE SAME. The Denominator always stays the same when you add and subtract fractions. So, 9/12 + 6/12 = 15/12.

Step Four:Now you simplify. So you divide 15 / 12= 1 with the remainder of 3. Like I said before the denominator ALWAYS STAYS THE SAME. So you now have 1 3/12. We can still simplify that number. So we divide by the least common denominator which is 3. Remember whatever you do to the bottom you have to do to the top. The whole number stays the same as well. So divide 1 3/12 / 3 = 1 1/4. So, the answer is 1 1/4

lesya [120]3 years ago

4 0

1 and 1/4..................................

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2. Find the cosine function that is represented in the graph.

Diano4ka-milaya [45]

Answer:

$f(x) = cos(x - \frac{\pi }{4} ) -1$

Step-by-step explanation:

In this graph, we have the coordinate point ( $\frac{\pi }{4} , 0$ ). Without translations, cos(0) = 0, which means that the graph is shifted to the right by $\frac{\pi }{4}$ . We also know that the graph is shifted down by 1 because we have the point

( $\frac{5\pi }{4} , -2$ ), but accounting for the right shift, this point should really by ( $\pi , -2$ ). cos( $\pi$ ) = -1, but on the graph it is -2, meaning that it is shifted down by 1.