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3 years ago

What is the answer to 2+6x=1-x

Mathematics

2 answers:

garri49 [273]3 years ago

5 0

$2+6x=1-x \ \ \ |+x \\
2+7x=1 \ \ \ |-2 \\
7x=-1 \ \ \ |\div 7 \\
x=-\frac{1}{7}$

Nitella [24]3 years ago

3 0

So we do the same on both sides of the equation:

First we add x - 2+7x=1

Then we take away 2- 7x=-1

Then we divide by 7- x=1/7 or -0.14

Hope I helped,

~FabSafxo

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Cuál es el grado de 10+ 12r⁵ + 3rp⁸

Zepler [3.9K]

Answer:

Step-by-step explanation:

π rad/15 × 180°/π rad = 180/15 = 12°

3π rad/10 × 180°/π rad = 540/10 = 54°

7π rad/12 × 180°/π rad = 1260/12 = 105°

11π rad / 6 × 180°/π rad = 1980/6 = 330°

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<em>espero que esto haya ayudado!</em>

4 0

3 years ago

If the population declined 21% down to 15,049, what was the population last year?

4vir4ik [10]

1+(21/100) = 1.21

15049 * 1.21 = 18209.29 (rounded to 18209)

The population was 18209

Hope this helps! :)

8 0

4 years ago

Your task is to build a road joining a ranch to a highway that enables drivers to reach the city in the shortest time. The perpe

lubasha [3.4K]

Answer:

(a)In the attachment

(b)The road of length 35.79 km should be built such that it joins the highway at 19.52km from the perpendicular point P.

Step-by-step explanation:

(a)In the attachment

(b)The distance that enables the driver to reach the city in the shortest time is denoted by the Straight Line RM (from the Ranch to Point M)

First, let us determine length of line RM.

Using Pythagoras theorem

$|RM|^{2}=30^2+x^2\\|RM|=\sqrt{30^2+x^2}$

The Speed limit on the Road is 60 km/h and 110 km/h on the highway.

Time Taken = Distance/Time

Time taken on the road $=\frac{\sqrt{30^2+x^2}}{60}$

Time taken on the highway $=\frac{50-x}{110}$

Total time taken to travel, T $=\frac{\sqrt{30^2+x^2}}{60}+\frac{50-x}{110}$

Minimum time taken occurs when the derivative of T equals 0.

$T^{'}=\frac{x}{60\sqrt{30^2+x^2}}-\frac{1}{110}\\\frac{x}{60\sqrt{30^2+x^2}}-\frac{1}{110}=0\\\frac{x}{60\sqrt{30^2+x^2}}=\frac{1}{110}\\110x=60\sqrt{30^2+x^2}\\$

Square both sides

$12100x^2=3600(30^2+x^2)\\12100x^2=3240000+3600x^2\\12100x^2-3600x^2=3240000\\8500x^2=3240000\\x^2=\frac{3240000}{8500} =381.18\\x=\sqrt{381.18} =19.52$