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Lemur [1.5K]
2 years ago
12

Work out the area of the triangle.

Mathematics
1 answer:
sveta [45]2 years ago
7 0

Answer:

120

Step-by-step explanation:

10*24=240

240/2=120

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Sqrt(2x-6)=3-x<br> Solve for x
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Answer:

x = 3

Step-by-step explanation:

\sqrt{2x - 6}  = 3 - x

Square both sides of the equation

2x - 6 = (3 - x)^{2} = 9 - 6x + x^{2} \\

x^{2}  - 8x + 15 = 0\\

(x - 3)(x - 5) = 0

x = 3 or 5

Now, you must always check your results because a result may not satisfy the original equation.

If x = 3, then \sqrt{2x - 6} = \sqrt{2(3) - 6} = \sqrt{6 - 6}  = \sqrt{0} = 0  and 3 - x = 3 - 3 = 0

So 3 satisfies the original.

If x = 5, then \sqrt{2(5) - 6}  = \sqrt{10 - 6} = \sqrt{4} = 2,  but 3 - x = 3 - 5 = -2.  Therefore, 5 does NOT satisfy the original equation.

That means that x = 3 is the solution to the equation.

5 0
3 years ago
Cheyenne ran a 5.6-kilometer race in 40 minutes. What was her speed in kilometers per hour? A. 224 B. 8.4 C. 7.1 D. 0.14
xz_007 [3.2K]
Hey there! :D

Let's find what Cheyenne runs in 10 minutes. 

Divide 5.6 by 4. 

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Multiply that by 6. (there are 60 minutes in an hour)

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"B" is the answer.

I hope this helps!
~kaikers
8 0
3 years ago
In ΔABC, point M is the midpoint of side AB and point D is the midpoint of segment MC. Prove that the area of ΔADC= the area of
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A line segment from a vertex to the midpoint of the opposite side is a "median". A median divides the area of the triangle in half, as it divides the base in half without changing the altitude.
AAMC is half AABC. AADC is half AAMC, so is 1/4 of AABC. (By the formula for area of a triangle.)
ABMC is half AABC. ABMD is half ABMC, so is 1/4 of AABC. (By the formula for area of a triangle.)
Then, AADC = 1/4 AABC = ABMC, so AADC = ABMC by the transitive property of equality.
8 0
3 years ago
The graph of y=1/x is shown below. Draw the graph of its inverse.
lord [1]
Y=1/x  solve for x

x=1/y  now reverse lables...

y=1/x  

Yes that is the same equation you started with.  What that means is the the inverse function in this case produces the same exact graph :)
4 0
3 years ago
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