Solve for x over the real numbers:
4 x^4 + 31 x^3 - 4 x^2 - 89 x + 22 = 0
The left hand side factors into a product with three terms:
(x + 2) (4 x - 1) (x^2 + 6 x - 11) = 0
Split into three equations:
x + 2 = 0 or 4 x - 1 = 0 or x^2 + 6 x - 11 = 0
Subtract 2 from both sides:
x = -2 or 4 x - 1 = 0 or x^2 + 6 x - 11 = 0
Add 1 to both sides:
x = -2 or 4 x = 1 or x^2 + 6 x - 11 = 0
Divide both sides by 4:
x = -2 or x = 1/4 or x^2 + 6 x - 11 = 0
Add 11 to both sides:
x = -2 or x = 1/4 or x^2 + 6 x = 11
Add 9 to both sides:
x = -2 or x = 1/4 or x^2 + 6 x + 9 = 20
Write the left hand side as a square:
x = -2 or x = 1/4 or (x + 3)^2 = 20
Take the square root of both sides:
x = -2 or x = 1/4 or x + 3 = 2 sqrt(5) or x + 3 = -2 sqrt(5)
Subtract 3 from both sides:
x = -2 or x = 1/4 or x = 2 sqrt(5) - 3 or x + 3 = -2 sqrt(5)
Subtract 3 from both sides:
Answer: x = -2 or x = 1/4 or x = 2 sqrt(5) - 3 or x = -3 - 2 sqrt(5)
Answer: 7) vertex = ∠H sides = HG and HI
8) ∠H, ∠IHG, ∠GHI, ∠4
9) ∠HVI, ∠HVJ, ∠IJV
<u>NOTES:</u>
1) The vertex is the point where the two segments, rays, or lines connect.
2) When naming an angle, the vertex is ALWAYS written in the middle with the sides on the left and right.
Answer: I say D I could be wrong tho
Step-by-step explanation:
Answer:
Total cost of CD player = $58.52
Step-by-step explanation:
Given data:
Price of CD player on sale= $54.95
Local sales tax = 6.5%
Total cost of CD player = ?
Solution:
Local sales tax= (6.5 * 54.95)/100 = $3.57
Total cost of CD player = Price of CD player on sale + Local sales tax
= $54.95 + $3.57
Total cost of CD player = $58.52
Answer:
158.76
Step-by-step explanation:
11.7*15.6=182.52
182.52/2=91.26
Area of BCD=91.26
7.5*18=135
135/2=67.5
Area of BAD=67.5
Altogether:
91.26+67.5=158.76
