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katen-ka-za [31]
3 years ago
7

3(2x + 6) - 4x = 2(5x - 2) + 6

Mathematics
1 answer:
sp2606 [1]3 years ago
7 0

Answer:

x = 2

Step-by-step explanation:

3(2x + 6) - 4x = 2(5x - 2) + 6 \\   6x + 18 - 4x = 10x - 4 + 6 \\ 2x + 18 = 10x + 2 \\ 18 - 2 = 10x - 2x \\ 16 = 8x \\ x =  \frac{16}{8}  \\  \huge \:  \red { \boxed{x = 2}}

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Segment CD has point E located on it such that CE:ED = 3:5. If the endpoints are located at C(5, -6) and D(11,18) then what are
wlad13 [49]

Answer:

E(29/4,3)

Step-by-step explanation:

Given that,

Segment CD has point E located on it such that CE:ED = 3:5

The coordinates of C and D are (5, -6) and (11,18) respectively.

We need to find the coordinates of E. Let the coordinates are (x,y). Using section formula to find it as follows :

(x,y)=(\dfrac{m_1x_2+m_2x_1}{m_1+m_2},\dfrac{m_1y_2+m_2y_1}{m_1+m_2})\\\\(x,y)=(\dfrac{3(11)+5(5)}{3+5},\dfrac{3(18)+5(-6)}{3+5})\\\\=\dfrac{29}{4},3

So, the coordinates of E are (29/4,3).

4 0
3 years ago
I need help with this!?!
AlekseyPX
Some of the important "given" information is outside of the photo.
We need to know that the two triangles are similar.
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7 0
3 years ago
The area of South America is approximately 1.78 × 107 square kilometers. Its population is approximately 3.50 × 108 people. What
stepladder [879]

Answer:

<u>A) 19.66 people/km²</u>

Step-by-step explanation:

<u>Given</u>

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<u>To Find</u>

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6 0
2 years ago
How do you get the answer to 18,000 seconds = hrs?
Alex777 [14]
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18,000 / 60 (60 secs in a min) = 300 minutes

Then, similarly,  you would convert the minutes into hours.

300 / 60 (60 mins in an hr) = 5 hours

The answer is 5 hours.
5 0
3 years ago
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Aneli [31]

Answer: 64 inches long

Step-by-step explanation: 16*4=64

7 0
3 years ago
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