Answer:
S (1 , 0)
T (7 , 1)
Step-by-step explanation:
If QRST is a parallelogram, P is the mid point of segment QS and segment RT.
Basic formula for mid-point of segment: ((x1+x2)/2 , (y1+y2)/2)
T (x₁ , y₁) S (x₂ , y₂) P (2 , 3) Q (3 , 6) R (-3 , 5)
2 = (x₁ + (-3))/2 x₁ = 7
3 = (y₁ + 5)/2 y₁ = 1
T (7 , 1)
2 = (x₂ + 3))/2 x₂ = 1
3 = (y₂ + 6)/2 y₂ = 0
S (1 , 0)
The answer to an absolute equation problem being equal to a negative is no solution.
The reason for this is because an absolute value symbol makes everything inside positive. Therefore, there is no way it could equal -5/2.
Answer:
76
Step-by-step explanation:
recall that for a quadratic equation in the form
ax² + bx + c = 0, the discriminant is given by
discriminant, D = b²- 4ac
we are given the following:
-6x² + 2x + 3 = 0,
comparing this with the general equation above, it is clear that,
a = -6, b = 2 and c = 3,
substituting these into our equation for discriminant:
D = b²- 4ac
= 2² - 4(-6)(3)
= 4 + 72
= 76
Answer:
(0,4)
(1/2,7)
(2.25,7)
(3,4)
Step-by-step explanation:
you want to take each point and subtract five from the 'x' value and add two to the 'y' value
(5,2) → (5-5, 2+2) → (0,4)
(5.5,5) → (5.5-5, 5+2) → (0.5,7)
(7.25,5) → (7.25-5, 5+2) → (2.25,7)
(8,2) → (8-5, 2+2) → (3,4)
Answer:
The difference between the two values is -9