Answer:
x = 3
, y = 0
Step-by-step explanation:
Solve the following system:
{y = (2 x)/3 - 2 | (equation 1)
y = 3 - x | (equation 2)
Express the system in standard form:
{-(2 x)/3 + y = -2 | (equation 1)
x + y = 3 | (equation 2)
Swap equation 1 with equation 2:
{x + y = 3 | (equation 1)
-(2 x)/3 + y = -2 | (equation 2)
Add 2/3 × (equation 1) to equation 2:
{x + y = 3 | (equation 1)
0 x+(5 y)/3 = 0 | (equation 2)
Multiply equation 2 by 3/5:
{x + y = 3 | (equation 1)
0 x+y = 0 | (equation 2)
Subtract equation 2 from equation 1:
{x+0 y = 3 | (equation 1)
0 x+y = 0 | (equation 2)
Collect results:
Answer: {x = 3
, y = 0
Hello!
Question 1
The angles in a triangle add up to 180°
Subtract the known angles from 180 to get x
180 - 105 - 40 = 35
The answer is 35
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Question 2
The angles in a triangle add up to 180°
The box means that angles is 90°
Subtract the know angles from 180 to get x
180 - 65 - 90 = 25
The answer is 25
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Hope this helps!
Answer:
I think it's 6 but I'm not 100% sure sorry
Simply plug in the value of x.
f(x) = -x² + 4x + 12
f(3) = -(3²) + 4(3) + 12 = -9 + 12 + 12 = -9 + 24 = 15
f(4) = -(4²) + 4(4) + 12 = -16 + 16 + 12 = 0 + 12 = 12
f(5) = -(5²) + 4(5) + 12 = -25 + 20 + 12 = -25 + 32 = 7
f(6) = -(6²) + 4(6) + 12 = -36 + 24 + 12 = -36 + 36 = 0
g(x) = x + 8
g(3) = 3 + 8 = 11
g(4) = 4 + 8 = 12
g(5) = 5 + 8 = 13
g(6) = 6 + 8 = 14
f(x) = g(x) when x = 4.
f(4) = g(4)
12 = 12