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KiRa [710]
4 years ago
7

How many solutions are there for 10(x + 4) – 3 = 14x + 1

Mathematics
2 answers:
oksano4ka [1.4K]4 years ago
6 0
10(x+4)-3=14x+1
10(4x)-3=14x+1
40x-3=14x+1
37x=14x+1
37x=15x
X=2.5
Or your answer will be 37x=15x
disa [49]4 years ago
3 0

Answer:

X=9

Step-by-step explanation:

Open the bracket first

10(x+4)-3=14x+1

10x+40-3=14x+1

Let's collect like terms

10x-14x=1-40+3

-4x=-36

Let's make x the subject of formula by dividing both sides by-4

X=9

Therefore the final answer for x is 9

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Fynjy0 [20]
Find the total area of the room
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3 years ago
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4/4 plus 4/4 please help
krek1111 [17]
Simplifying is basically 1 + 1, so the answer is 2, or 8/4 whichever you prefer. 
It can also be 4/2, or 2/1...
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3 years ago
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yawa3891 [41]
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3 years ago
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Can someone please answer this I don’t understand!
Dovator [93]

The coordinates of X are (5, 11).

Solution:

Given points of the line segment are P(2, 2) and T(7, 17)  

Let X be the point that partitions the directed line segment PT in the ratio 3 : 2

Using section formula, we can find the coordinate of the point that partitions the line segment.

Section formula:

$X(x, y)=\left(\frac{m x_{2}+n x_{1}}{m+n}, \frac{m y_{2}+n y_{1}}{m+n}\right)

Here, x_{1}=2, y_{1}=2, x_{2}=7, y_{2}=17 and m = 3, n =2

Substitute these in the section formula,

$X(x, y)=\left(\frac{3 \times 7+2 \times 2}{3+2}, \frac{3 \times 17+2 \times 2}{3+2}\right)

            $=\left(\frac{21+4}{5}, \frac{51+4}{5}\right)

           $=\left(\frac{25}{5}, \frac{55}{5}\right)

           =(5, 11)

X(x, y) = (5, 11)

The coordinates of X are (5, 11).

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