Answer:
Number 1 and Number 4
Step-by-step explanation:
By factoring, you can figure out the roots (x = -2 or x = 2)...
1. x^2 - 4 = 0
--> (x + 2)(x - 2) = 0
--> x = -2, x = 2
2. x^2 + 4 = 0
--> factors weirdly, so I won't write it. You'd have to use the quadratic formula.
3. 3x^2 + 12 = 0
--> 3 (x^2 + 4) = 0
--> factors weirdly (same as above)
4. 4x^2 - 16 = 0
--> 4 (x^2 - 4) = 0
--> 4 (x+2) (x-2) = 0
--> x = -2, x = 2
5. 2 (x-2) 2 = 0
--> x = 2
Answer:
<u>Range = 1 1/4</u>
Step-by-step explanation:
Range = Maximum - Minimum
Arranging the data in ascending order :
- <u>1/2, 5/8, 3/4, 1 1/4, 1 1/2, 1 3/4</u>
<u />
Solving for range :
- Range = 1 3/4 - 1/2
- Range = 1 3/4 - 2/4
- Range = 7/4 - 2/4
- Range = 5/4
- <u>Range = 1 1/4</u>
Initial length = 72 cm
Stretched length = 90 cm
Find the increased in length:
increase = 90 - 72 = 18
Find the percentage increase:
Percentage increase = change/original x 100
Percentage increase = 18/72 x 100 = 25%
Answer: The elastic band's length is increased by 25%
Answer: 22 square feet
Step-by-step explanation:
Using Heon's formula, the are can be found with:
Where s is half the perimeter
a, b and c are sides
Perimeter = a + b +c
24 = 9 + 10 + c
c = 24 - 9 - 10
c = 5 feet
s = 24 / 2 = 12
Area
= 22 ft²
Answer:
4230.44
Step-by-step explanation:
