Answer: OPTION A
Step-by-step explanation:
The equation of the line in slope-intercept form is:
Where m is the slope and b the y-intercept.
Solve for y from each equation:
As you can see the slope and the y-intercept of each equation are equal, this means that both are the exact same line. Therefore, you can conclude that the system has infinitely many solutions.
-2x+4y=4 Equation 1
x-2y=6 Equation 2
Solving by substitution method.
Isolate x from equation 2.
x=2y+6
Substitute value of x in equation 1
-2(2y+6)+4y=4
-4y-12+4y=4
-12=4
-16=0
Which is false.
Answer: No solution
9514 1404 393
Answer:
(a) 6² +3² +1² +1² = 47
(b) 5² +4² +2² +1² +1² = 47
(c) 3³ +4² +2² = 47
Step-by-step explanation:
It can work reasonably well to start with the largest square less than the target number, repeating that approach for the remaining differences. When more squares than necessary are asked for, then the first square chosen may need to be the square of a number 1 less than the largest possible.
The approach where a cube is required can work the same way.
(a) floor(√47) = 6; floor(√(47 -6^2)) = 3; floor(√(47 -45)) = 1; floor(√(47-46)) = 1
__
(b) floor(√47 -1) = 5; floor(√(47-25)) = 4; ...
__
(c) floor(∛47) = 3; floor(√(47 -27)) = 4; floor(√(47 -43)) = 2
Answer:
they are equivalent
Step-by-step explanation:
simplifying 12r + p -4r + 6p you get 8r + 7p
so yes they are equal
The x-coordinate is negative, and the y-coordinate is negative.
This is because the y-axis is vertical, so reflecting across it means you will change the sign of the x-value, and the sign of the y-value will stay constant. Since we start off with a positive x and negative y, we will end up with a negative x and negative y.
