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3 years ago

Solve the following system by graphing x + y - 6= 0 x- y = 0

Mathematics

2 answers:

DochEvi [55]3 years ago

7 0

Answer:

(3,3)

Step-by-step explanation:

x + y - 6= 0

x- y = 0

Add the two equations together

x + y - 6= 0

x- y = 0

-------------------

2x - 6 = 0

Add 6 to each side

2x-6+6 = 0

2x = 6

Divide by 2

2x/2 = 6/2

x = 3

Now find y

x-y = 0

3 - y = 0

y = 3

cupoosta [38]3 years ago

4 0

Answer:

Step-by-step explanation:

y=6-x first equation

y=x for the second

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By order of operations PEMDAS the answer to 6*6/2(3)+4 can not be 58. Help me to understand better because I'm really good at ma

notsponge [240]

No, your answer is correct. 58

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3 years ago

In a unit circle, ø = 270º. Identify the terminal point and sin ø.

larisa [96]

Answer:

Terminal point (0, -1); sin Ø = -1 ⇒ A

Step-by-step explanation:

In the unit circle, Ф is the angle between the terminal side and the positive part of the x-xis

The terminal point on the positive part of the x-axis is (1, 0),which means Ф = 0° or 360° and cosФ = 1, sinФ = 0

The terminal point on the positive part of the y-axis is (0, 1),which means Ф = 90° and cosФ = 0, sinФ = 1

The terminal point on the negative part of the x-axis is (-1, 0),which means Ф = 180° and cosФ = -1, sinФ = 0

The terminal point on the negative part of the y-axis is (0, -1),which means Ф = 270° and cosФ = 0, sinФ = -1

In a unit circle

∵ Ф = 270°

→ By using the 4th rule above

∴ The terminal point is (0, -1)

∴ sinФ = -1

∴ Terminal point (0, -1); sin Ø = -1

4 0

2 years ago

Read 2 more answers

Wilson's brother earns $185 each month working an after-school job. What is the total amount of money he will earn after

prisoha [69]

185 • 12 = $2,220
So your answer is $2,220

6 0

3 years ago

the boundary of a rectangular farm field in ireland has a straight rock wall along one side and fences along its other three sid

Inessa [10]

Answer:

781250 $ft^{2}$

Step-by-step explanation:

Let y is the length of the farm field

Let x is the width of the farm field

Given that, no fencing is necessary along the rock wall, so we can find the perimeter of the farm is:

2x + y = 2500 feet

<=> y = 2500 -2x

The are of the farm has the following formula:

A = x*y

<=> A = x(2500 - 2x)

<=> A = 2500x -2 $x^{2}$

To have the maximum area of field in square feet, we need to use differentials to estimate:

$\frac{dA}{dx}$ = 2500 - 4x

Set $\frac{dA}{dx}$ = 0, we have:

2500 - 4x = 0

<=> x = 625 feet.

=> y = 2500 - 2*625 = 1250 feet

So the maximum area of field is:

A = x*y = 625*1250 = 781250 $ft^{2}$

7 0

3 years ago

Find the coordinates of the point (a, b).

Leviafan [203]

Answer:

a = $\frac{1}{\sqrt{2} }$ and b = $\frac{\sqrt{2} }{2}$

Step-by-step explanation:

As we know, the radius of the unit circle is 1 unit (it is the hypotenuse in the right triangle, the blue line)

We use trigonometric formulas to find out a and b

Sin(45) = opposite side / hypotenuse

<=> Sin(45) = b / 1

<=> b= Sin(45)*1 = $\frac{\sqrt{2} }{2}$

Cos(45) = adjacent side / hypotenuse

<=> Cos(45) = a / 1

<=> a = Cos(45)*1 = $\frac{1}{\sqrt{2} }$

So: a = $\frac{1}{\sqrt{2} }$ and b = $\frac{\sqrt{2} }{2}$

5 0

3 years ago