Hello and Good Morning/Afternoon
<u>Let's take this problem step-by-step</u>:
<u>To find the solution to a system of equation</u>
⇒ <em>must set</em> the equations equal to each other
⇒ and solve
<u>Let's put that into action</u>
- At this point, to make the whole thing equal zero
⇒ either 'x+3' or 'x-3' equals zero
⇒ must find 'x' that satisify either equation
<u>Let's find the corresponding f(x) to each x-value</u>
<u>Therefore the solutions are (3,6) and (-3,18)</u>
<u />
<u>Answer: (3,6), (-3,18)</u>
<u></u>
Hope that helps!
#LearnwithBrainly
Remember that transformation between Cartesian and polar system are:
x=r*cos(α)
y=r*sin(α)
From this we can conclude that:
r=√(x^2 + y^2)
Using trigonometry transformations we can write:
r=sin(2α) = 2sin(α)cos(α)
Now we can multiply both sides with r^2:
r^3 = 2(r*sin(α))*(r*cos(α))
Now using some replacements we can write:
(x^2 + y^2)^(3/2) = 2*x*y
This is a square matrix whose entries are real and rows and columns are orthogonal unit vectors.
Answer:
100 in²
Step-by-step explanation:
The area of the banner is equal to the area of the initial rectangle minus the area of the cutout triangle.
The rectangle has a height of 8 inches and width of 14 inches, so its area is:
A = (8 in) (14 in) = 112 in²
The triangle has a base of 8 inches and a height of 3 inches, so its area is:
A = ½ (8 in) (3 in) = 12 in²
So the area of the banner is 112 in² − 12 in² = 100 in².
