Answer: 4(a + b + 2)
Step-by-step explanation: 2(2a + b) 8 equals 4a + 2b + 8. 4(a + b + 2) equals 4a + 4b + 8
15) x^2-2x-8=1/4x-1
x^2-2.25x-7=0
4x^2-9x-28=0
(x-4)(4x+7)=0
x-4= 0 or 4x+7=0
x=4 or x= -7/4=-1.75
16) answer hides in the f(x) equation
the trick is to think of the value that will make the (x-4) =0 and and the y value can be directly plugged off from the +c
therefore, ans is x=2 y= 4
(2,4)
Answer: Second Option is correct.
Step-by-step explanation:
Since we have given that
In a parallelogram, the vector from one vertex to another vertex is (9,-2)
So, the co-ordinate of first vertex will be (9,0).
And the coordinate of second vertex will be (0,-2).
As we know the formula for "Distance between two coordinates":
So, The length of the side is given by
Hence, Second Option is correct.
Answer:
a) one solution
b) no solution
Step-by-step explanation:
Systems of equations can be described as having one solution, no solution or infinite solutions:
One solution: 'x' and 'y' are equal to only one value
No solution: 'x' and 'y' can not be solved with the given equations
Infinite solutions: values for 'x' and 'y' include all real numbers
In order to evaluate the systems, putting them in the same format is your first step:
a) - y = -5x - 6 or y - 5x = 6
y - 5x = -6
Since both equations have the same expression 'y - 5x', but there are equal to opposite values, this system would have no solution, as this would not be possible to calculate.
b) y + 3x = -1
y = 3x -1 or y - 3x = -1
Solving for 'y' by adding the equations and eliminating 'x', gives us:
2y = -2 or y = -1
Using y = -1 to plug back into an equation and solve for 'x': -1 + 3x = -1 or x = 0. Since 'x' and 'y' can be solved for a value, the system has just one solution.
Answer:
Pauline reflected the original figure over the x-axis:
The coordinates of point B will be (4,3)
Carl reflected the original figure over the y-axis:
The coordinate of points B will be (-4,-3)
