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kati45 [8]
3 years ago
7

True or False: All statements of equality below are correct. Please help!!

Mathematics
1 answer:
koban [17]3 years ago
8 0

Answer:

True?

Step-by-step explanation:

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What is the area of triangle ABC?<br> A(2,1) B(4,7) C(6,3)
Helen [10]

Answer: 10

Step-by-step explanation:

It appears that \overline{AC} \perp \overline{BC}, so to check if this is the case, we can use the slope formula.

m_{\overline{AC}}=\frac{3-1}{6-2}=\frac{1}{2}\\m_{\overline{BC}}=\frac{3-7}{6-4}=-2

Since these slopes are negative reciprocals, we can see that this is the case. So, we can take \overline{AC} as the base of the triangle and \overline{BC} as the height of the triangle, and then use the formula A=\frac{1}{2}bh.

Using the distance formula,

AC=\sqrt{(6-2)^{2}+(3-1)^{2}}=\sqrt{16+4}=2\sqrt{5}\\BC=\sqrt{(4-6)^{2}+(7-3)^{2}}=\sqrt{4+16}=2\sqrt{5}

So, the area is \frac{1}{2}(2\sqrt{5})(2\sqrt{5})=\boxed{10}

6 0
2 years ago
What is the slog for 10
ICE Princess25 [194]

To answer this, first try to answer thexfollowing: what is x in this equation? 9 = 3

what is x in this equation? 8 = 2x

• Basically, logarithmic transformations ask, “a number, to what power equals another number?”

• In particular, logs do that for specific numbers under the exponent. This number is called the base.

• In your classes you will really only encounter logs for two bases, 10 and e.

Log base 10

We write “log base ten” as “log10” or just “log” for short and we define it like this:

If y=10x So, what is log (10x) ?

then log(y)=x

log (10x) = x 10log(x) = x

How about 10log(x)

More examples: log 100 =

log (105)=

?

2 5

• The point starts to emerge that logs are really shorthand for exponents.

• Logs were invented to turn multiplication problems into addition problems.

Lets see why.

log (102) + log (103) = 5, or log (105)

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3 years ago
Which of the following are valid names for the given triangle? Check all that
Alona [7]

Answer:

axm

Step-by-step explanation:

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Calculate the area of the shape.
Liula [17]

Answer: 38.46

Step-by-step explanation:

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Please help me with these five problems dont understand them
-Dominant- [34]

Answer:

22. 150 minutes

23. ½ day

24. 0,045 minutes

25. 1,5 weeks

26. 1 year

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3 years ago
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