A school district wants to find out why dropout rates were lower at some schools rather than others. What statistical approach w
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Prime factor is a factor that is a prime number.
Prime factors of :
8 : 2 × 2 × 2. Also can be written as
12 : 2 × 2 × 3. Also can be written as
20 : 2 × 2 × 5. Also can be written as
30 : 2 × 3 × 5
56 : 2 × 2 × 2 ×7. Also can be written as
70 : 2 × 5 × 7
You can find all of them by using Factor Tree [ as shown in the picture] or Dividing by prime numbers.
Prime factors of :
8 : 2 × 2 × 2. Also can be written as
12 : 2 × 2 × 3. Also can be written as
20 : 2 × 2 × 5. Also can be written as
30 : 2 × 3 × 5
56 : 2 × 2 × 2 ×7. Also can be written as
70 : 2 × 5 × 7
You can find all of them by using Factor Tree [ as shown in the picture] or Dividing by prime numbers.
Given:
A quadrilateral inscribed in a circle.
To find:
The value of x and y.
Solution:
If a quadrilateral inscribed in a circle, then it is known as cyclic quadrilateral and the opposite angles of a cyclic quadrilateral are supplementary angles, it means their sum is 180 degrees.
[Supplementary angles]
The value of x is 14 degrees.
[Supplementary angles]
Therefore, the value of x is 14 degrees and the value of y is 38 degrees.
Answer:
a) x =3 and x=5
c) x =-1 and
i) x =0 and
Step-by-step explanation:
a)
Given that the quadratic equation
x² - 8x +15 =0
The factors of 15 = 5 × 3
x² - 5x -3x +15 =0
x(x -5) -3(x-5) =0
(x-3)(x-5) =0
x =3 and x=5
c)
3 x² + 10 x +7 =0
⇒ 3x² + 3x + 7x +7 =0
⇒ 3x (x +1) +7(x+1) =0
⇒ (x+1) ( 3 x +7) =0
⇒ x =-1 and
i)
2 x ² + 9 x =0
⇒ x( 2 x + 9) =0
⇒ x =0 and 2 x = -9
⇒ x =0 and