Solve the following system:{-9 x = 5 - 2 y | (equation 1)15 x = 2 y - 11 | (equation 2)
Express the system in standard form:{-(9 x) + 2 y = 5 | (equation 1)15 x - 2 y = -11 | (equation 2)
Swap equation 1 with equation 2:{15 x - 2 y = -11 | (equation 1)-(9 x) + 2 y = 5 | (equation 2)
Add 3/5 × (equation 1) to equation 2:{15 x - 2 y = -11 | (equation 1)0 x+(4 y)/5 = (-8)/5 | (equation 2)
Multiply equation 2 by 5/4:{15 x - 2 y = -11 | (equation 1)0 x+y = -2 | (equation 2)
Add 2 × (equation 2) to equation 1:{15 x+0 y = -15 | (equation 1)0 x+y = -2 | (equation 2)
Divide equation 1 by 15:{x+0 y = -1 | (equation 1)0 x+y = -2 | (equation 2)
Collect results:Answer: {x = -1 {y = -2
Please note the { are supposed to span over both equations but it interfaces doesn't allow it. Please see attachment for clarification.
Answer:
The AVERAGE function calculates the average of numbers provided as arguments. To calculate the average, Excel sums all numeric values and divides by the count of numeric values. This behavior can be replicated with the SUM and COUNT functions like this: = SUM(A1:A5) / COUNT(A1:A5) // manual average calculation
Step-by-step explanation:
Answer:
The discount which she received is 25 %
Step-by-step explanation:
Given as :
The original price of scarf = $ 16
The selling price of scarf = $ 12
Let The discount percentage = d %
So,
Discount percentage = × 100
or, d % = × 100
Or, d % =
∴ d = 25%
Hence The discount which she received is 25 % Answer
Answer:
16 ft
Step-by-step explanation:
If you connect points A and C with a straight line, you will have a right triangle with hypotenuse AC (radius), shorter leg 1/2 of CD and the longer leg 1/2 of AB.
AC = radius = 10 ft
1/2 CD = 1/2 of 12 = 6 ft
So we can use Pythagoras' Theorem to find the length of the longer leg of the right triangle:
6² + b² = 10²
36 + b² = 100
b² = 100 - 36
b² = 64
b = √64 = 8
As b = 1/2 AB, then AB = 2 x b = 2 x 8 = 16 ft