Answer:B
Step-by-step explanation:
The curve cuts the x-axis at points x=3/2 and x=3
F(x)= ((x-3/2)(x-3)
=x2-3x-3x/2+9/2
2x2-6x-3x+9
=2x2-9x+9
Answer:
6ft by 8ft
Step-by-step explanation:
12 / 2 is 6 and 16 / 2 is 8
Answer: 20w + 3
———————
10
Step-by-step explanation:
Answer:
(12,-3/2)
Step-by-step explanation:
1) take average of "x" values
(Since midpoint is in the middle we need to take the averages of endpoints to find the point in the middle)
(14+10)/2
24/2=12
x coordinate of midpoint: (12, )
2) take average of "y" values:
(3-6)/2
-3/2
y coordinate of midpoint ( ,-3/2)
hence (12,-3/2) is the midpoint
Amount of grass in the backyard is 0.641 square yards
<h3>
What is a square?</h3>
Any 2-dimensional figure bounded by 4 sides whose all sides are equal and all the angles are 90° is called a square.
<h3>How to find the area of a square?</h3>
Area of a square can be found by squaring the length of one of its sides.
<h3>What is a rectangle?</h3>
Any 2-dimensional figure bounded by 4 sides whose opposites sides are equal and parallel and all the angles are 90° is called a rectangle.
<h3>How to find out area of a rectangle?</h3>
Area of a rectangle can be found by multiplying its length by its breadth.
<h3>How to calculate the area in the given problem?</h3>
The given figure is a combination of multiple figures.
- 1 square of length 3 cm on top
- 1 rectangle in the middle whose length is ( 2 + 3) cm = 5 cm, and breadth is 3 cm
- 1 larger rectangle at the bottom whose length is 10 cm and breadth is 3 cm.
- We will have to calculate these areas and sum up the areas to get the entire area.
- Area of the square at the top = ( 3 x 3) cm² = 9 cm²
- Area of the middle rectangle = ( 5 x 3) cm² = 15 cm²
- Area of the bottom rectangle = (10 x 3) cm² = 30 cm²
∴ Total area of the backyard = ( 9 + 15 + 30) cm² = 54 cm²
Amount of grass in the backyard = (54 x 0.109² ) square yards
= 0.641 square yards ( 1 cm = 0.109 yards)
Find out more information about area calculations here: brainly.com/question/1297098
#SPJ2