Is (0,0) a solution to this system? y ≥ x^2 + x - 4, y> x^2 + 2x + 1
2 answers:
Answer:
(0,0) is not a solution of the given system.
Step-by-step explanation:
we have to find is (0,0) a solution to the system below
Substitute (0,0) in above
If point (0,0) satisfy the above system then it becomes a solution.
0≥0^2+0-4=-4 True
0>0^2+2(0)+1=1 False
⇒ (0,0) is not a solution of the given system.
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Answer:
A = 35 square units
Step-by-step explanation:
Formula to calculate the distance between two points and
is,
d =
Length of the segment between A(2, 2) and B(9, 2) =
= 7 units
Length of the segment between B(9, 2) and C(9, -3) =
= 5 units
Length of the segment between C(9, -3) and D(2, -3) =
= 7 units
Length of the segment between A(2, 2) and D(2, -3) =
= 5 units
Therefore, given polygon is a rectangle.
Area of the rectangle = length × width
= 7 × 5
= 35 square units
Answer- Follow the attachment attached herewith.
Solution-
As we know if we are moving in left or right, we have to deal with the x - direction or x co-ordinate and if we are moving in up and down , we have to deal with y - direction or y co-ordinate .
If we are moving in right ,we have to add in x co-ordinate and if we are moving left we have subtract from x co-ordinate. Likewise, if we are moving up, we have to add in y co-ordinate and if we are moving down, then we have to subtract from y co-ordinate.
As given in the question, we have move the triangle 4 units right and 5 units down,
The co-ordinate of given triangles'
A = (-1,3)
B = (-5,-3)
C = (2,-1)
∴Then the new co-ordinate will be
A' = (-1+4 , 3-5) = (3,-2)
B' = (-5+4 , -3-5) = (-1,-8)
C' = (2+4 , -1-5) = (6,-6)
