Learning Task 5: Solve this in your notebook.
1. Suppose that you friend factors x2y + 36xy like this:
24x²y + 36xy = 4xy(6x + 9)
= (4xy)(3)(2x + 3)
= 12xy(2x + 3)
Is this correct? Would you suggest any changes?
2. If the sum of the square of the number and 4 time the number is 21,
what is the number?
3. The length of the rectangle is 3 less than twice the width. If the area is 9
square ft, the length and width of the rectangle.
4. Given the figure below. Find the area of the shaded part of the rectangle if the
area of the big rectangle is 6 times the area of the unshaded rectangle
Nonsense answer : Report + Banned = Sad
Correct answer : Like + Heart = Mark Brainlest and happy
If you use a nonsense answer, you get reported.
If you have a correct answer, you get mark brainlest.
Answers & Comments
Answer:
Step-by-step explanation:
1. No solution required
2. Let x be the number:
x² + 4x = 21
x² + 4x – 21 = 0
(x + 7)(x – 3) = 0
x = –7, 3
3. Let l and w be the length and width of rectangle:
l = 2w – 3
lw = 9
lw = 9
(2w – 3)w = 9
2w² – 3w – 9 = 0
(2w + 3)(w – 3) = 0
w = 3, since dimensions cannot be negative
l = 3
4. Length of bigger rectangle: 6, width = 6
Length of smaller rectangle: x, width = 2x
Area of rectangle = length × width
Area of bigger = 6(Area of Smaller)
(6)(6) = 6(2x²)
2x² = 6 – Area of Smaller Rectangle
Area of Shaded Part = Area of Bigger – Area of Smaller
= 36 – 6
= 30 square units