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3 years ago

2x-3+3x+1+2x=22. What is x?

2 answers:

7 0

2x-3+3x+1+2x=22 x=?
let's start with combining like terms
2x+3x+2x= 7x
-3+1=2
7x+2=22
+2 from both sides
7x=24
divide by 7 from both sides
x=3.428hope this helped

Doss [256]3 years ago

4 0

$2x-3+3x+1+2x=22$

$7x-2=22
$

$7x=22+2
$

$7x=24
$

$x= \dfrac{24}{7}$

$\text{Decimal Form: 3.428571}$

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A surveyor leaves her base camp and drives 42km on a bearing of 032degree she then drives 28km on a bearing of 154degree,how far

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The surveyor is 36.076 kilometers far from her camp and her bearing is 16.840° (standard form).

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And this formula is expanded by definition of vectors in rectangular and polar form:

$(x,y) = r_{1}\cdot (\cos \theta_{1}, \sin \theta_{1}) + r_{2}\cdot (\cos \theta_{2}, \sin \theta_{2})$ (1b)

Where:

$x, y$ - Resulting coordinates of the final position of the surveyor with respect to origin, in kilometers.

$r_{1}, r_{2}$ - Length of each vector, in kilometers.

$\theta_{1}, \theta_{2}$ - Bearing of each vector in standard position, in sexagesimal degrees.

If we know that $r_{1} = 42\,km$ , $r_{2} = 28\,km$ , $\theta_{1} = 32^{\circ}$ and $\theta_{2} = 154^{\circ}$ , then the resulting coordinates of the final position of the surveyor is: