1 Subtract <span><span>yy</span>y</span> from both sides
<span><span><span>43−y=<span>x3</span>−5</span>43-y=\frac{x}{3}-5</span><span>43−y=<span><span>3</span><span>x</span><span></span></span>−5</span></span>
2 Add <span><span>55</span>5</span> to both sides
<span><span><span>43−y+5=<span>x3</span></span>43-y+5=\frac{x}{3}</span><span>43−y+5=<span><span>3</span><span>x</span><span></span></span></span></span>
3 Simplify <span><span><span>43−y+5</span>43-y+5</span><span>43−y+5</span></span> to <span><span><span>48−y</span>48-y</span><span>48−y</span></span>
<span><span><span>48−y=<span>x3</span></span>48-y=\frac{x}{3}</span><span>48−y=<span><span>3</span><span>x</span><span></span></span></span></span>
4 Multiply both sides by <span><span>33</span>3</span>
<span><span><span>(48−y)×3=x</span>(48-y)\times 3=x</span><span>(48−y)×3=x</span></span>
5 Regroup terms
<span><span><span>3(48−y)=x</span>3(48-y)=x</span><span>3(48−y)=x</span></span>
6 Switch sides
<span><span><span>x=3(48−y)</span>x=3(48-y)</span><span>x=3(48−y<span>)</span></span></span>
It is centered at (h,k) --> (0,0) and has a radius 9
The equation of the circle is
Hope that helps!
Answer:
The value of x is 26.
Step-by-step explanation:
In a triangle, the total angles is 180°. In order to find the value of x, you have to add up all the angles in terms of x and make it equals to 180°
2x + 3x + 50 = 180
5x + 50 = 180
5x = 180 - 50
5x = 130
x = 130 ÷ 5
x = 26
<span>The perimeter of the area is the length of the fence.
Perimeter = x + y + y. This can be simplified to
Perimeter = x + 2y. You're told that the rancher has 100 m of fence, so the perimeter is 100 m:
100 = x + 2y (1)
The area of a rectangle is given by the formula A = length * width. The length in this case is x, and the width is y.
So, A = xy.
Solve equation (1) for y. Once you find the expression to which y equals, plug that for y into A = xy.
100 = x + 2y. Solve for y by subtracting both sides by x:
100 - x = 2y. Divide both sides by 2:
(100 - x)/2 = y
Substitute (100 - x)/2 for y into A = xy:
A = x[(100 - x)/2]
A = [x(100 - x)]/2
You can rewrite this as (100x - x²)/2 or 50x - (x²/2) or 50x - (1/2x²).
Hope that helped!</span>