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Vinvika [58]
2 years ago
7

3. How many 4-letter code can be formed using the first 10 letters of the English alphabet, if no letter can be repeated?

Mathematics
1 answer:
galben [10]2 years ago
7 0
Abcdefg
There cannot be more than two because there are only two vowels, e and a. But it has to be 4 lettered, which limits a lot of option, so there can only be one 4-letter code.
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What is the area of a triangle whose vertices are D(3,3), E(3,-1), and F(-2,-5)?
Elis [28]

There is a formula which employs the use of determinants and which helps us calculate the area of a triangle if the vertices are given as (x_1,y_1),(x_2,y_2),(x_3,y_3). The formula is as shown below:

Area=\frac{1}{2}\begin{vmatrix}x_1&y_1&1 \\ x_2&y_2&1\\ x_3&y_3&1\end{vmatrix}

Now, in our case, we have: (x_1,y_1)=(3,3)

(x_2,y_2)=(3,-1), and

(x_3,y_3)=(-2,-5)

Thus, the area in this case will become:


Area=\frac{1}{2}\begin{vmatrix}3&3&1 \\ 3&-1&1\\ -2&-5&1\end{vmatrix}

Therefore, Area=\frac{1}{2}\times [[3(-1\times 1-(-5)\times 1]-3[3\times 1-(-2)\times 1]+1[3\times -5-2]]= \frac{1}{2}\times -20=-10

We know that area cannot be negative, so the area of the given triangle is <u>10 squared units</u>.



3 0
3 years ago
If the air temperature is −14°F, how many degrees must it rise to reach 0°F?
krek1111 [17]

Answer:

14°

Step-by-step explanation:

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→The temperature is -14, so to get it to 0, you add 14:

-14 + 14 = 0

4 0
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Answer:

A add -9

Step-by-step explanation:

After this you should add -9 to bring it over to the left side.

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Goshia [24]
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