Answer:
The are 5 marbles
Step-by-step explanation:
51/85 = 3/5 As a result, there are 51 red and 85 green marbles.
Answer:
Part A: 3x²(x⁸ - 16)
Part B: 3x²(x² - 2)(x² + 2) (x² - 2x + 2)(x² + 2x + 2)
Step-by-step explanation:
Part A. Factor out the greatest common factor
3x¹⁰ - 48 x²
= 3x²(x⁸ - 16)
Part B. Factor the expression completely
(i) Factor the difference of squares
x⁸ - 16
= (x⁴ - 4)(x⁴ + 4)
= (x² - 2)(x² + 2)(x⁴ + 4)
3x¹⁰ - 48 x² = 3x²(x² - 2)(x² + 2)(x⁴ + 4)
(ii) Factor the sum of squares
Use the Sophie Germain Identity to factor x⁴ + 4.
x⁴ + 4
= (x²)² + 2² (Still a sum of squares)
= (x² + 2)² - 4x² (Factor this as a difference of squares)
= (x² + 2 - 2x)(x² + 2 + 2x)
3x¹⁰ - 48 x² = 3x² (x² - 2)(x² + 2) (x² - 2x + 2)(x² + 2x + 2)
Step-by-step explanation:
see the answer in the pic
u must prove that
Cotx/1+cscx=1-cscx/cotx
cuz that's the way
Answer:
x = -7, A = 65 degrees
Step-by-step explanation:
[It is important to know that in any triangle, the sum of all three angles is equal to 180 degrees]
Therefore,
x + 72 + x + 51 + 71 = 180
2x + 194 = 180 [collect like terms]
2x = -14 [subtract 194 from both sides]
x = -7 [divide both sides by 2]
To find A, we substitute the value of x into x + 72:
A = (-7) + 72
A = 65 degrees.
Hope this helps! :D
Answer:
0.75
Step-by-step explanation:
If she plans to jog 4.25 miles each day then 4.25 * 7 would equal 29.75. This is the first answer.
In order to get the second answer, we need to subtract 30.5 (What she needs to jog) over 29.75 (how much she is planned to job over the next 7 days). So 30.5 - 29.75 = 0.75
Here is the math I did to get 0.75:
= 30.5 - 29.75
= 30.5 + -29.75
= 0.75 (Answer)
