Answer:
( 
, 0 )
Step-by-step explanation:
To find the x- intercepts let y = 0, that is
2x² + 3x - 2 = 0
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 2 × - 2 = - 4 and sum = + 3
The factors are + 4 and - 1
Use these factors to split the x- term
2x² + 4x - x - 2 = 0 ( factor the first/second and third/fourth terms )
2x(x + 2) - 1 (x + 2) ← factor out (x + 2) from each term
(x + 2)(2x - 1) = 0
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
2x - 1 = 0 ⇒ 2x = 1 ⇒ x =
The x- intercepts are (- 2, 0 ), ( , 0 )
Plug 8 for y
8 = 2x + 4
Subtract 4
4 = 2x
Divide by 2
x = 2
Plug 16 for y
16 = 2x + 4
Subtract by 4
12 = 2x
Divide by 2
x = 6
Substitute 20 for y
20 = 2x + 4
16 = 2x
x = 8
Substitute 22 for y
22 = 2x + 4
18 = 2x
9 = x
So the values are 2, 6, 8, 9
Answer:
We will split the trapezoid into right angle triangle and rectangle
Traingle with base 3cm and height 10 - 6 = 4cm
Area of traingle
= 
Area of rectangle with sides 6cm and 3cm
=
Therefore, area of the trapezoid
= 
Area of the semi circle with radius 3/2 = 1.5cm
= 
Step-by-step explanation:
Circumference of a circle is 2piR
Here R is 3 cm
So C=2pi(3)
C=6pi cm
Answer: x = -3
set them equal to each other and reverse pemdas as shown in my image
