Answer:
Step-by-step explanation:
Vertex A of the triangle ABC when rotated by 90° counterclockwise about the origin,
Rule to be followed,
A(x, y) → P(-y, x)
Therefore, A(1, 1) → P(-1, 1)
Similarly, B(3, 2) → Q(-2, 3)
C(2, 5) → R(-5, 2)
Triangle given in second quadrant will be the triangle PQR.
If the point P of triangle PQR is reflected across a line y = x,
Rule to be followed,
P(x, y) → X(y, x)
P(-1, 1) → X(1, -1)
Similarly, Q(-2, 3) → Y(3, -2)
R(-5, 2) → Z(2, -5)
Therefore, triangle given in fourth quadrant is triangle XYZ.
Answer:
9/30 and 4/30
Step-by-step explanation:
find common denominator of 30
multiply 3 by 10 and 2 by 15
multiply 3 by 3 and 2 by 2
answer
Answer:
one
Step-by-step explanation:
When a system of equations is graphed, the solution is the coordinate that is plotted at the intersection of the two lines.
If the two lines cross once, there is only one solution.
If the two lines are on top of each other then there are infinitely many solutions.
If the two lines are parallel ( and never touch ) then there are no solutions
By looking at the graph we notice the two lines intersect once. So we can conclude that there is only one solution.
Answer: 7/12 portion
Explanation:
Jack can paint:
1 house = 3hr
1/3 portion= 1hr
Jill can paint:
1 house = 4hr
1/4 portion = 1hr
Both of them together can paint in 1 hour:
1/3 + 1/4 = 3/12 + 4/12 = 7/12 portion in 1hr
Answer:
There is no value
Step-by-step explanation:
x is not in the equation given, meaning that there would be no "Value of x"