For point with coordiantes (x,y), the abscissa is the x-coordinate and the ordinate is the y-coordinate. So, all you have to do is match the given x values with the second term inside the parenthesis. Also, the x values must also be the same as given. From the choices, the answer is <span>{(-3, -3), (0, 0), (12, 12)}</span>
Answer:
Perimeter of MNO = 38.71 in.
Area of MNO = 63.73 sq. in.
Step-by-step explanation:
Since the two triangles are similar, this means that
- linear dimensions are proportional to ratio of corresponding sides
- areas are proportional to ratio of corresponding sides.
Ratio of corresponding sides of MNO to DEF
= 6.7/9
Therefore
Perimeter of MNO = P*6.7/9 = 38.71 in.
Area of MNO = A*(6.7/9)^2 = 63.73 sq. in.
all results have been calculated to the second place of decimal
Answer:
x = 83°
Step-by-step explanation:
ZW is a straight angle which means it is equal to 180°
So 97° + x° = 180°
180° - 97° = 83°
Answer and Step-by-step explanation:
Given
ax + by = c
qx + ry = s
(a) the equation has no solutions if a/q = b/r ≠ c/s, when this happens, we say the system of equations has no solution. For example
x + y = 3
x + y = 5
Subtracting first equation from the second we have:
0 = 2 which is impossible.
(b) the equations have infinite solutions if a/q = b/r = c/s, for example
x + y = 2
x + y = 2
Subtracting the first equation from the second we have
0 = 0, since this is always true, then it has infinite solutions.
(c) the equations have unique solutions if a/q ≠ b/r, for example
x + y = 2
x – y = 1
Adding the first and second equation we have
2x = 3, we can get x from here and definitely y, so we have just one solution.
Answer:
11
Step-by-step explanation:
Step 1: Parenthesis
6² - 5²
Step 2: Exponents
36 - 25
Step 3: Subtract
11
The dot is multiplication.
