Answer:
y=50 and x=-173/2
Step-by-step explanation:
52-2y=-48
∴-2y=-100
y=50
and 2x+3y=-23
y=50→(1)
2x+3y=-23→(2)
Putting y=50 in equation (2), we get
⇒2x+3y=-23
⇒2x+3(50)=-23
⇒2x+150=-23
⇒2x=-23-150
⇒2x=-173
⇒x=-173/2
∴y=50 and x=-173/2
Answer:
x = 8
y = 21
Step-by-step explanation:
y = 4x − 11
x + y = 29
Solve for x:
x + y = 29
x + 4x − 11 = 29
5x − 11 = 29
5x = 40
x = 8
Solve for y:
y = 4x − 11
y = 4 × 8 − 11
y = 21
To subtract vectors, subtract the x coordinates together. Do the same for the y coordinates as well.
In terms of a formula if we had the vectors u and v such that
u = <a,b>
v = <c,d>
then
u - v = <a-c, b-d>
Let's use that to get...
u - v = <6,-9> - <1,-4>
u - v = <6-1,-9-(-4)>
u - v = <6-1,-9+4>
u - v = <5,-5>
----------------------
Answer: A) <5,-5>
2x^2 - 5x + 1 = 3
Subtract 3 from both sides
2x^2 - 5x + 1 - 3 = 3 - 3
2x^2 - 5x - 2 = 0
Use quadratic formula with A = 2, B = - 5, C = - 2
x = - b +- sqrt b^2 - 4ac/2a
x = - ( - 5) +- sqrt (- 5)^2 - 4(2)( - 2)/(2)(2)
x = 5 +- sqrt 41/4
x = 5/4 + 1/4sqrt 41 or x = 5/4 + - 1/4 sqrt 41
Answer: x = 5/4 + 1/4 sqrt 41
x = 5/4 + - 1/4 sqrt 41
Hope that helps!!!!! (D)