Answer:
Before adding, we need to make sure the denominators are the same. We can do so by multiplying the fraction by a common multiple. In this case, 3 is a multiple of 6, so we can change 1/2 to 3/6. 3/6 is still equal to 1/2, so nothing changes.
Now we have 3/6+1/6, which is 4/6 (add the numerator).
4/6 can be simplified to 2/3 and 2 is a multiple of 4 and 6.
So, therefore, the answer is 2/3.
First you have to factor (aka, multiply) your binomial (which is what you have written) usually it helps to organize your thinking, and help tell what you need to multiply, to use the binomial chicken(or crab claw, what ever you want to call it) which basically you draw two arches, one arch connecting the 3 and 4, and then the other the 3 and 9i. on the opposite side (depending on wheater you connected then from the top or bottom) you connect (with an arch) the 6i and the four, and then the 6i to the 9i.
so now you multiply each piece you've connected:
3 x 4= 12
3 x 9i= 27i
6i x 4= 24i
6i x 9i= 54i^2
after you've done this you can move on to putting it into standard form, which just means you put things in descending order, depending on how many exponents the x (or in this case i) has.
your largest exponent is 54i^2, so that's first in out equation, next 27i, and 24i (you can combine these because they are like term) which equals 51i, after that you just add the 12 on the end, so the final equation looks like this:
54i^2+51i+12
Answer:
The answer is 16.746667
Step-by-step explanation:
1) Simplify 3.14 × 16 to 50.24.
2) Simplify 50.24 ÷ 3 to 16.746667.
<u>Therefor</u><u>. </u><u>the</u><u> </u><u>answer</u><u> </u><u>is</u><u> </u><u>16.746667.</u>
Answer:
A. 15
Step-by-step explanation:
To solve this you need to compare the lengths given to you in the question statement.
Because the lines originate from a single point, they're like triangles. We can easily see a triangle AGF and a triangle ADE, right?
Both triangles are similar triangles, so we can see triangle ADE as a larger version of angle AGF.
They give you the dimension of A F and A E (through A F + F E) to establish a ratio... and they give you A G, asking for A D.
So, A F = 16, A E = 20 (16 + 4), A G = 12.
Since A D is to A G what A E is to A F, we can easily make the following cross-multiplication:
So, A D = (A G * A E)/A F
A D = (12 * 20) / 16 = 15
