Answer:
24 cm²
Step-by-step explanation:
The area of the shaded region is the area of the outer triangle subtract the area of the rectangle.
Area of triangle = 0.5 × (4 + 4) × (6 + 2) = 0.5 × 8 × 8 = 4 × 8 = 32 cm²
Area of rectangle = 4 × 2 = 8 cm², hence
Shaded area = 32 - 8 = 24 cm²
This is a hard one so what you do is make a number line and put -5x, -9, and -24 hope this helps
Answer: i only know question one so here
The first mathematical error occurred going from line __3__ to line _4___.
Why it is incorrect:
It is incorrect because the minus sign was not properly distributed. Line 4 should be ...
5 -2x +6 ≤ 4x -8
a.
The second mathematical error occurred going from line ___5_ to line 6____.
Why it is incorrect:
It is incorrect because 1 was added on the left and subtracted on the right. The same number needs to be added or subtracted on both sides.
b. Solve the inequality correctly.
5 -2x +6 ≤ 4x -8---------------correct line 4
11 -2x ≤ 4x -8------------ combine constants
19 -2x ≤ 4x ------------add 8
19 ≤ 6x--------------- add 2x
19/6 ≤ x----------- divide by 6
Answer:
Step-by-step explanation:
- 1. c increased by 5 is 5 ⇒ h. c + 5 = 5
- 2. 4 more than a number is 12 ⇒ b. n + 4 = 12
- 3. The product of 4 and n is 12 ⇒ i. 4n = 12
- 4. The difference of 27 and k is 15 ⇒ a. 27 - k = 15
- 5. 8 less than 3 times x is 10 ⇒ f. 3x - 8 = 10
- 6. 3 times x increased by 8 is 20 ⇒ d. 3x + 8 = 20
- 7. A number minus 8 is 3 ⇒ e. k - 8 = 3
- 8. Three times a number is 9 ⇒ j. 3n = 9
- 9. Twice a number plus 1 is 11 ⇒ g. 2x + 1 = 11
- 10. 6 less than a number is 5 ⇒ c. c - 6 = 15
Answer:
-1
Step-by-step explanation:
24-5^2 = 24-5•5 = -1
