Answer:
x = 4 ± √13
Step-by-step explanation:
x² − 8x + 3 = 0
Complete the square. (-8/2)² = 16.
x² − 8x + 16 − 13 = 0
(x − 4)² − 13 = 0
(x − 4)² = 13
x − 4 = ±√13
x = 4 ± √13
9514 1404 393
Answer:
28 square units
Step-by-step explanation:
The figure can be decomposed several ways. Maybe easiest to see is as a 8×4 rectangle with a 2×4 right triangle cut from the corner.
The area of the rectangle is ...
A = LW = (8)(4) = 32
The area of the missing triangle is ...
A = 1/2bh = 1/2(2)(4) = 4
Then the area of the shaded figure is ...
32 - 4 = 28 . . . square units
_____
<em>Alternate solution</em>
If you divide the figure with a horizontal line across the middle, it becomes a 4×4 square and a trapezoid with bases 2 and 4 and height 4. The shaded area is the sum of these areas.
The area of a trapezoid is ...
A = 1/2(b1 +b2)h
A = (1/2)(2 +4)(4) = 12
The area of the square is ...
A = s² = 4² = 16
Then the total area is ...
12 +16 = 28 . . . square units
15
100%=20 questions
25%=X questions
X=25%×20=500
X=500/100
X=5
not B=20-5
not B=15 questions
Answer:
B or 1/3n-3<6; n<27
Step-by-step explanation:
1/3n-3<6; n<27
+3. +3
1/3n<9
*3. *3
n<27
If x is any given number than I will use the Number five
Your equation will look like this
5^5=25
