Answer:
Awsten Knight
Step-by-step explanation:
3 triangles.
If you take 3 toothpicks you create the first triangle. You put the last toothpick down the middle, you get 2 more
Answer:
x = -7/2 multiplicity 2.
Step-by-step explanation:
4x^2 + 28x + 49 = 0
(2x + 7)(2x + 7) = 0
This is a perfect square.
2x + 7 = 0, so:
x = -7/2 multiplicity 2.
Answer:
(3, 1)
Step-by-step explanation:
(a) Algebraic solution
(1) y = -⅔x + 3
(2) y = 2x - 5
Set Equation (1) equal to Equation (2)
-⅔x + 3 = 2x - 5
Multiply each side by 3
-2x + 9 = 6x - 15
Add 15 to each side
-2x + 24 = 6x
Add 2x to each side
24 = 8x
Divide each side by 3
(3) x = 3
Substitute (3) into (2)
y = 2×3 - 5 = 6 - 5 = 1
The ordered pair that makes both equations true is (3, 1).
(b) Graphical solution
In the diagram below, the red line is the graph of Equation (1). The blue line is the graph of Equation (2). The point of intersection is at (3, 1).
The number of square feet of the carpet is the area of the carpet
The number of square feet of outdoor carpet is 32 feet
<h3>How to determine the number of square feet</h3>
To do this, we simply divide the carpet to regular shapes.
The outdoor carpet can be divided to the following shapes from top to bottom
- Rectangle of 4 ft by 2 ft
- Rectangle of 6 ft by 2 ft
- Rectangle of 6 ft by 2 ft
So, the area of the outdoor carpet is:
Area = 4 * 2 + 6 * 2 + 6 * 2
This gives
Area = 32
Hence, the number of square feet of outdoor carpet is 32 feet
Read more about areas at:
brainly.com/question/24487155
