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3 years ago

How do you solve system of equations word problems?

2 answers:

7 0

Highlight important information
Define your Varibales
Write two equations
Use one of the methods for solving System of equations to solve
Check your answer by subsisting your order pair into the original Equation

kaheart [24]3 years ago

5 0

Well first you have to figure out what you need to solve. then you write out the two equations and solve the system s from there

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3 years ago

What is 1000 to the tenth power

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3 years ago

Maria walked 3 km west and 4 km south calculate how far she is from her starting point.

Rufina [12.5K]

Answer:

5 km

Step-by-step explanation:

We are given the distances walked by Maria;

3 km west and 4 km south

We are required to determine the displacement from her starting point;

We are going to use Pythagoras's theorem;

a² + b² = c²

Taking, the distances towards south and towards west as the legs of the triangle;

Then, c² = 3² + 4²

= 25

c = √25

= 5 km

Therefore, the displacement from the starting point is 5 km

8 0

3 years ago

The sum of twice a number and seven is twenty five

Mama L [17]

9

Because 9x2 is 18+7=25

3 0

3 years ago

Write each of the following as a function of theta.<br> 1.) sin(pi/4 - theta) 2.) tan(theta+30°)

Paladinen [302]

Step-by-step explanation:

Let x represent theta.

$\sin( \frac{\pi}{4} - x )$

Using the angle addition trig formula,

$\sin(x - y) = \sin(x) \cos(y) - \cos(x) \sin(y)$

$\sin( \frac{\pi}{4} ) \cos(x) - \cos( \frac{\pi}{4} ) \sin(x)$

$( \frac{ \sqrt{2} }{2}) \cos(x) - (\frac{ \sqrt{2} }{2} )\sin(x)$

Multiply one side at a time

Replace theta with x , the answer is

$\frac{ \sqrt{2} \cos(x) }{2} - \frac{ \sin(x) \sqrt{2} }{2}$

2. Convert 30 degrees into radian

$\frac{30}{1} \times \frac{\pi}{180} = \frac{\pi}{6}$

Using tangent formula,

$\tan(x + y) = \frac{ \tan(x) + \tan(y) }{1 - \tan(x) \tan(y) }$

$\frac{ \tan(x) + \tan( \frac{\pi}{6} ) }{1 - \tan(x) \tan( \frac{\pi}{6} ) }$

Tan if pi/6 is sqr root of 3/3

$\frac{ \tan(x) + ( \frac{ \sqrt{3} }{3} ) }{1 - \tan(x) (\frac{ \sqrt{3} }{3} ) }$

Since my phone about to die if you later simplify that,

you'll get

$\frac{(3 \tan(x) + \sqrt{3} )(3 + \sqrt{3} \tan(x) }{3(3 - \tan {}^{2} (x) }$

Replace theta with X.

4 0

3 years ago