Answer:
36
Step-by-step explanation:
Compare what you have to the square ...
(a +b)^2 = a^2 +2ab +b^2
Your "a" is √(25x^2) = 5x
Your "2ab" is -60x. Since you know "a", you can find "b".
2ab = -60x
2(5x)b = -60x . . . . . . . substitute for "a"
b = -60x/(10x) = -6
Then the missing term is b^2 = (-6)^2 = 36.
Your trinomial is ...
25x^2 -60x +<u>36</u>
Answer:
The right triangle has one 90 degree angle and two acute (< 90 degree) angles. Since the sum of the angles of a triangle is always 180 degrees... The two sides of the triangle that are by the right angle are called the legs... and the side opposite of the right angle is called the hypotenuse.
Step-by-step explanation:
So remember that the area of a trapezoid is , with b = bases and h = height. Before we can do the equation, however, we have to find the height. Using the right triangle, we can use the pythagorean theorem, which is .
Since we know that the hypotenuse is 13 and one of the legs is 12, we can solve for the other leg. Our equation will look like this:
Firstly, solve the exponents:
Next, subtract 144 on both sides:
Next, square root both sides, and your height will be: x = 5
Now that we know both the height, 5, and the bases, 30 and 40, we can solve for the area of the trapezoid. Our equation will look like this:
Firstly, combine everything on the numerator:
Next, divide the fraction:
Next, multiply, and your answer will be A = 175 un^2.
Step-by-step explanation:
(xy)(xy)(xy)(xy)(xy)(xy)(xy)
(-ab)(-ab)(-ab)(-ab)(-ab)(-ab)