Answer:
Option (2)
Step-by-step explanation:
Given equation is,
x⁴- 9x² + 8 = 0
Let x² = t
By substituting the value of x²= t in the equation,
t² - 9t + 8 = 0
t² - 8t - t + 8 = 0
t(t - 8) - 1(t - 8) = 0
(t - 1)(t - 8) = 0
(t - 1) = 0 ⇒ t = 1
(t - 8) = 0 ⇒ t = 8
Since, t = x²
x² = 1 ⇒ x = ±1
x² = 8 ⇒ x = ±2√2
Therefore, Option (2) will be the correct option.
Answer:
hope it helps you .......
Answer:
1) 147
2) 87
Step-by-step explanation:
1) Area of triangle = × base length × height
= 
× 14 × 10
= 70
Area of a semicircle = 
( r is the radius)
Radius = half of diameter = 
= 7m
Area of semicircle = 
= 77 ( Nearest whole number )
Total area = 77 + 70 = 147
2) Divide the shape into 2 rectangles
Area of a rectangle = length × width
Rectangle 1 = 7 × ( 3+3+5 )
= 7 × 11 = 77
Rectangle 2 = 2 × 5
= 10
Total Area = 77 + 10 = 87
<u>Case 1 :</u>
5 positive x-tiles = 5x
1 positive unit tile = 1
5 positive x-tiles and 1 positive unit tile = 5x + 1
<u>Case 2 :</u>
2 negative x-tiles = -2x
6 positive unit tiles = 6
so, 2 negative x-tiles and 6 positive unit tiles = -2x+6
We see that Gracia has represented the 1st case as 5x+(-1), which should be 5 positive x-tiles and 1 negative unit tile.
Hence the statement : 5 positive x-tiles and 1 positive unit tile to represent 5x+(-1) , explains Gracia's error.
Hi there! So, $2.97 is made for every toy Carl King assembles. He assembles 207 toys. To find out the amount of pay made per week, all you have to do is multiply 207 by 2.97, because of the amount of toys made and the price per toy made. 207 * 2.97 is 614.79. There. Carl King's total pay for a week is $614.79. The answer is D.
