Answer:
x=4± 5sqrt(2)
Step-by-step explanation:
x^2 – 8x – 34 = 0
To complete the square Add 34 to each side
x^2 -8x -34+34=0+ 34
Take the coefficient of x, and divide by 2
-8/2 =-4
Then square it and add it to each side
(-4)^2 =16
x^2 – 8x +16 = 34+16
x^2 – 8x +16 = 50
We replace the left side with (x + the coefficient of x/2)^2
(x -4)^2=50
Take the square root of each side
sqrt((x -4)^2)=±sqrt(50)
x-4 = ±sqrt(25*2)
x-4 = ±sqrt(25)*sqrt(2)
x-4 = ±5sqrt(2)
Add 4 to each side
x=4± 5sqrt(2)
Draw a straight line from the mid point of one side to the opposite vertex.
Use the Pythagorean Theorem to find the length of this line. Let b = this line (the height).
a^2 + b^2 = c^2
3^2 + b^2 = 6^2
9 + b^2 = 36
b^2 = 27
b = 5.2
Now use this formula to find the area of this triangle.
A = 1/2bh
U have too Cary the number for re gegrouping and I do not know what partial products are
Answer:
Step-by-step explanation:
We use exponents to simplify long multiplication. The number of the exponent stands for how many of the number you have.
Because we have 4 5s, the exponent is 4.
Something like 5x5x5 would be 
, because there are 3 5s.
Applying the equation for the area of the trapezoid, it is found that the height is of 10 cm.
The <em>area of a trapezoid</em> is <u>half the multiplication of the sum of the bases and the height</u>, that is:
For this problem, we have that: 
, hence:
The height is of 10 cm.
To learn more about area of a trapezoid, brainly.com/question/9918120
