The area of a triangle is
(1/2) x (length of the base) x (height of the triangle).
You ought to be able to handle it from this point.
26
240
x + 2y <12
2x + y < 10
Solve this system of equations. 5x+3y+z=-29 x-3y+2z=23 14x-2y+3z=-18 Write the solution as an ordered triple.
maximum value of 6y+10y
x + y = 5
y = -x + 5
The graph is a straight line, with [ slope = -1 ], passing through the point [ y = 5 ] on the y-axis.
Find the coordinates of the vertices of triangle a'b'c' after triangle ABC is dilated using the given scale factor then graph triangle ABC and its dilation
A (1,1) B(1,3) C(3,1) scale factor 3
Reflecting the the x-axis (line y=0) leaves the x-coordinate unchanged and negates the y-coordinate:
(x, y) -> (x, -y)
For example:
(1, 2) -> (1, -2)
(3, -4) -> (3, 4)
An ordered pair that has a negative x-coordinate and a positive y-coordinate (-,+) would be plotted in which quadrant?
42
Example: if you have a point with the coordinates (2,4), a reflection over the y-axis will result in the point with coordinates (-2,4).
Sensible but hard to explain
-3(x + y + z)
You draw a number line. Then put a dot at the point at x. Happy graphing!
x + y + z = 12
y = 1
x - y - z = 0
Substitute y = 1 in the other two equations:
x + 1 + z = 12 so that x + z = 11
and
x - 1 - z = 0 so that x - z = 1
Add these two equations: 2x + 0z = 12 which implies that x = 6
and then x + z = 11 gives z = 5
So the solution is (x, y, z) = (6, 1, 5)
The answer depends on what the feasible region is and on what operator is between 6x and 8y.
The question cannot be answered because:
The question cannot be answered because:
The question cannot be answered because:
The question cannot be answered because:
The graph of an inequality is a region, not a line.
The answer depends on the feasible region and there is no information on which to determine that.