To write the given quadratic equation to its vertex form, we first form a perfect square.
x² - 2x + 5 = 0
Transpose the constant to other side of the equation,
x² - 2x = -5
Complete the square in the left side of the equation,
x² - 2x + (-2/1(2))² = -5 + (-2/1(2))²
Performed the operation,
x² - 2x + 1 = -5 + 1
Factor the left side of the equation,
(x - 1)² = -4
Thus, the vertex form of the equation is,
<em> (x-1)² + 4 = 0</em>
Okkk so u need to use the Pythagorean Theorum.
a=x
b=1
c=5
so...
Solve that
1-9 = 9 digits
10-99 = 180 digits
So if we continue the pattern to 99, there are 189 digits, and the last 5 digits would be 79899. Counting backwards: 189th = 9, 188th = 9, 187th = 8, 186th = 9, 185th = 7.
The 185th digit is 7.
f(x) = e²ˣ⁻¹
f⁻¹(x) = ln(2x - 1)
Answer: 952 ft squared
Step-by-step explanation:
Surface area, is just the area of all the faces added together.
So, the sides we need to find are measuring:
Triangle side: 10 x 8
Triangle Face; 10 x 8
Square Face: 10 x 10
Square Face: 10 x 10
Rectangular Face: 14 x 10
Rectangular Face: 14 x 10
Bottom Rectangular face: 14 x 10
Side of the Triangular prism: 9 x 14
Side of the Triangular prism: 9 x 14
Because the triangle face has two of them, we only have to do one as opposed to dividing the same face twice.
So, we have a side of 80.
From here, it is just multiplication.
80 + 100 + 100 + 140 + 140 + 140 + 126 + 126 = 952 ft
