Answer:
x = 5
, y = 3
Step-by-step explanation:
Solve the following system:
{3 x + 4 y = 27 | (equation 1)
5 x - 3 y = 16 | (equation 2)
Swap equation 1 with equation 2:
{5 x - 3 y = 16 | (equation 1)
3 x + 4 y = 27 | (equation 2)
Subtract 3/5 × (equation 1) from equation 2:
{5 x - 3 y = 16 | (equation 1)
0 x+(29 y)/5 = 87/5 | (equation 2)
Multiply equation 2 by 5/29:
{5 x - 3 y = 16 | (equation 1)
0 x+y = 3 | (equation 2)
Add 3 × (equation 2) to equation 1:
{5 x+0 y = 25 | (equation 1)
0 x+y = 3 | (equation 2)
Divide equation 1 by 5:
{x+0 y = 5 | (equation 1)
0 x+y = 3 | (equation 2)
Collect results:
Answer: {x = 5
, y = 3
Answer:
y=ax²+bx+c
c is axis of symmetry I believe
Answer: 20%
Step-by-step explanation:
To find the total number of problems Emilia solved, we can first add 19 and 76 to get:
19 + 76 = 95
Next, to find how many problems Emilia got correct out of the total, we can use the number of problems correct (19) and divide it by the total number of problems (95) to get:
19 ÷ 95 = 0.2
Finally, to make 0.2 a percentage, we can multiply it by 100 to get:
0.2 X 100 = 20
Therefore, Emilia got 20% of the problems correct.
Answer:
67 degrees
Step-by-step explanation:
All angles in a triangle add up to 180 degrees. So...
23 + x + 90 = 180
113 + x = 180
x = 67 degrees
2r + 2s = 50
2r - s = 17
-----------subtract
3s = 33
s = 11
2r - s = 17
2r - 11 = 17
2r = 28
r = 14
so r = 14 and s = 11
answer is C. r = 14, s = 11