Answer:
B'(-5,-6)
Step-by-step explanation:
The mapping for 180° clockwise rotation about the origin is:
The find the image of B(5,6), we plug in x=5 and y=6 into the rule.
Therefore the coordinates of B' are (-5,-6).
Answer:
no solutions
Step-by-step explanation:
Hi there!
We're given this system of equations:
x+y=3
4y=-4x-4
and we need to solve it (find the point where the lines intersect, as these are linear equations)
let's solve this system by substitution, where we will set one variable equal to an expression containing the other variable, substitute that expression to solve for the variable the expression contains, and then use the value of the solved variable to find the value of the first variable
we'll use the second equation (4y=-4x-4), as there is already only one variable on one side of the equation. Every number is multiplied by 4, so we'll divide both sides by 4
y=-x-1
now we have y set as an expression containing x
substitute -x-1 as y in x+y=3 to solve for x
x+-x-1=3
combine like terms
-1=3
This statement is untrue, meaning that the lines x+y=3 and 4y=-4x-4 won't intersect.
Therefore the answer is no solutions
Hope this helps! :)
The graph below shows the two equations graphed; they are parallel, which means they will never intersect. If they don't intersect, there's no common solution
Answer:
x≥29
Step-by-step explanation:
25≤x−4
move terms
-x≤-4-25
calculate
-x≤-29
change signs
x≥29
Answer:
2 solutions
Step-by-step explanation:
We are given the equations of f(x) and g(x).
To find f(x) = g(x), we just let those two equations equal each other
Group all like terms,
Factorise,
Therefore, there are two solutions
Hope this helped!!
Answer:
2^6
Step-by-step explanation:
2 is being multiplied 6 times meaning it would be 2 to the 6th power.