Answer:
(45,35)
Step-by-step explanation:
1 - Stack the equations on top of each other
3x - 4y = -5
4x + 4y = 40
2 - We can eliminate by subtracting the bottom equation from the top equation
3x - 4y = -5
- 4x - 4y = 40
3 - The y's cancel out, leaving us with...
3x = -5
- 4x = 40
4 - Continue simplifying
-1x = -45
5 - We can switch the -1x with -x to make things simple
-x = -45
6 - Positize (make it positive) the statement
x = 45
7 - Halfway there! Substitute the x value into one of the equations
(3 * 45) - 4y = -5
8 - Solve
135 - 4y = -5
Minus 135 on both sides
-4y = -140
Divide by -4 on both sides
y = 35
9 - Here is your answer!!
x = 45
y = 35
(45,35)
Answer:
Option B). 10 cm
Step-by-step explanation:
Distance between center and the focus of an ellipse is given by the formula,
c² = a² - b²
where, a = length of the major axis
b = length of the minor axis
and c = distance between focus and center
If c = 6 cm, b = 8 cm,
6² = a² - 8²
a² = 6² + 8²
a² = 36 + 64
a² = 100
a = 10 cm
Therefore, length of the major axis is 10 cm.
Option (B) is the answer.
Number of proper subsets = 2^number of elements- 1
= 2^n - 1
No of elements = 4
2^4-1 = 16-1 = 15
Step-by-step explanation:
I have no idea if I'm doing it right but my guess would be to take the values that we get from f(x) and g(x) when x = 1. Therefore we get that f(x) is equal to 4 and g(x) is equal to -1. We than just do f/g which is 4/-1 which gives us the final answer of -4 which is option B.
Answer: Option B, -4
You plug in number for number getting 194.8 which is equal to 2931
