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# Algebra

Gudrun Cremin

Lvl 10
2021-10-05 18:34:07
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Cards in this guide (20)
Area of a triangle base of 10 and a height of 15

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.

What is the maximum value of 4x 3y in the feasible region

26

What is the maximum value of 3x 4y in the feasible region

240

Shown here is the graph of the region described by which set of inequalities

x + 2y <12

2x + y < 10

Solve this system of equations 5x plus 3y plus z equals -29 x-3y plus 2z equals 23 14x-2y plus 3z equals -18

Solve this system of equations. 5x+3y+z=-29 x-3y+2z=23 14x-2y+3z=-18 Write the solution as an ordered triple.

What is the maximum value of 6x plus 10y in the feasible region

maximum value of 6y+10y

How would you graph the equation x plus y equals 5

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.

What are the coordinates of the vertices of triangle a'b'c' after triangle ABC is dilated using a scaling factor of 3

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

How do the coordinates of a point change when it is reflected over the x-axis

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)

What is the quadrant of a ordered pair that has a negative x coordinate and a positive y coordinate

An ordered pair that has a negative x-coordinate and a positive y-coordinate (-,+) would be plotted in which quadrant?

What is the maximum value of 5x plus 2y in the feasible region

42

What does reflection over the y-axis mean

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).

How do you graph 4y equals 8-3x

Sensible but hard to explain

What is the factor of negative 3x - 3y - 3z

-3(x + y + z)

How do you graph x on a graph paper

You draw a number line. Then put a dot at the point at x. Happy graphing!

What is the ordered triple of x plus y plus z equals 12 and y equals 1 and x-y-z equals 0

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)

What is the minimum value of 6x 8y in the feasible region

The answer depends on what the feasible region is and on what operator is between 6x and 8y.

What is the maximum value of 3x 5y in the feasible region

The question cannot be answered because:

• there is no symbol shown between 3x and 5y,
• there is no information on the feasible region.

The question cannot be answered because:

• there is no symbol shown between 3x and 5y,
• there is no information on the feasible region.

The question cannot be answered because:

• there is no symbol shown between 3x and 5y,
• there is no information on the feasible region.

The question cannot be answered because:

• there is no symbol shown between 3x and 5y,
• there is no information on the feasible region.

Which inequality symbols are represented by a solid line on a graph

The graph of an inequality is a region, not a line.

What is the minimum value of 6x plus 5y in the feasible region excluding point (0 0)

The answer depends on the feasible region and there is no information on which to determine that.

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