<em><u>The equations used to find the length of leg of triangle are:</u></em>
<em><u>Solution:</u></em>
From given,
Area of right triangle = 24 square feet
Also from given figure in question (attached below )
base = x and height = x + 2
<em><u>The area of triangle is given by formula:</u></em>
Substituting the values we get,
<em><u>Also, the above equation can be written as,</u></em>
<em><u>Thus the equations used to find the length of leg of triangle are:</u></em>
The solution to the first pair of equal expressions is:
<span>16x = 10(x + 1)
16x = 10x + 10
6x = 10
x = 10/6 = 1 and 2/3
</span>
<span>The solution to the second pair of equal expressions is:
</span>
<span>10(x + 1) = 26(+1) - 16
The left side is 10(x + 1) = 10x + 10
The right side is 26(+1) - 16 = 26-16 = 10
The equation now says 10x + 10 = 10
Subtract 10 from each side: 10x = 0
The solution to this pair of equal expressions is x = 0 .
I think I understand the weird question now. It's trying to say that
the first expression is equal to both the second and third expressions.
Let's try the first and the third:
</span><span><span><span>16x = 26(+1) - 16</span>
16x = 26 - 16
16x = 10
x = 10/16 = 5/8 = 0.625
Nope, that wasn't it.
The upshot of all my research is: I have no idea what the question is trying to say,
therefore no clue of what the actual question is, and no direction toward an answer.</span></span>
Answer:
The first triangle has been rotated 180 degrees reflected on point r (as in x)
Step-by-step explanation:
Draw it
Answer:
2
Step-by-step explanation:
Answer:
A) 2 units
Step-by-step explanation:
Given;
x² + y² - 4x - 4y + 4 = 0
Consider general circle equation;
(x - h)² + (y - k)² = r²
where;
(h , k ) is the center of the circle
r is the radius of the circle
x² + y² - 4x - 4y + 4 = 0
subtract 4 from both sides of the equation
x² + y² - 4x - 4y = - 4
square half of coefficient of x and y, and add them to both sides of the equation
x² + - 4x + (-2)² + y² - 4y + (-2)² = - 4 + (-2)² + (-2)²
factorize x and y
(x - 2)² + (y - 2)² = - 4 + 4 + 4
(x - 2)² + (y - 2)² = 4
(x - 2)² + (y - 2)² = 2²
Compare this final equation to general equation of a circle
(x - 2)² + (y - 2)² = 2²
(x - h)² + (y - k)² = r²
r = 2
Thus, the length of a radius of the circle is 2 units