Answer:
isosceles trapezoid
Step-by-step explanation:
1) find the distance of the points
AB = 
BC = |7-4| = 3
CD = 
AD = |9-2| = 7
2) equation of the line that passes threw BC
y = 7
3) equation of the line that passes threw AD
y = 5
conclusion
the quadrilateral has two parallel sides and two congruent sides, so it is a isosceles trapezoid
Answer:
x = -1/2 and -2
Step-by-step explanation:
Solve for <em>x</em>: Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
Using the quadratic formula: Solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula.
(√3 + √11)² + (√3 - √11)²
- (a+b)² = a² + b² + 2ab
- ( a - b )² = a² + b² - 2ab
<em>Now </em><em>,</em>
(√3 + √11)² + (√3 - √11)²
(3 + 11 + 2√3√11)+ (3 +11 - 2√3√11)
14 + 2√33+ 14 - 2√33
14 + 14 = 28
Hence , The value of (√3 + √11)² + (√3 - √11)² is 28 .
Hey!
To solve x in this equation we must first add five to both sides to get
on its own.
<em>Original Equation :</em>
<em>New Equation {Added 5 to Both Sides} :</em>
Now we must square both sides of the equation.
<em>Old Equation :</em>
<em>New Equation {Changed by Squaring Both Sides} :</em>
And now we must solve the new equation.
Step 1 - Switch sides
Step 2 - Subtract x from both sides
Step 3 - Simplify
Now we need to solve the rest of the equation using the quadratic formula.
9
4
<em>So, this means that in the equation
,</em>
x = 9 <em>and </em>
x = 4.Hope this helps!
- Lindsey Frazier ♥
