9514 1404 393
Answer:
(x, y) = (-1, -16) or (3, 0)
Step-by-step explanation:
Perhaps you want to solve the system of equations ...
Substituting the first expression for y into the second equation gives ...
x^2 +2x -15 -4x = -12
x^2 -2x -3 = 0 . . . . . . . . add 12
(x -3)(x +1) = 0 . . . . . . . factor
Solutions are the values of x that make the factors zero: x = 3, x = -1.
The corresponding values of y are ...
y = -12 +4x
y = -12 +4{-1, 3} = -12 +{-4, 12} = {-16, 0}
The solutions to the system are ...
(x, y) = (-1, -16) or (3, 0)
Answer:
A. Division property of inequality.
Step-by-step explanation:
Let be , we proceed to show the appropriate procedure to step 4:
1) Given
2) Compatibility with multiplication/Existence of multiplicative inverse/Associative property/Modulative property/Result. (Division property of inequality)
In consequence, the division property of inequality which states that:
. If
, then:
But if , then:
Hence, correct answer is A.
The area of the polygon is 35.5 square units. Option C shows the correct area of the given polygon.
<h3>What is the area?</h3>The area can be defined as the amount of space used by a two-dimensional object.
Given that ABEDFG is a polygon. As shown in the attachment, we divided the polygon into 4 different parts.
In triangle EDC, EC = 3, DC = 4.
Area =
Area =
Area = 6
In triangle GFD, height = 2, base = 7.
Area =
Area =
Area = 7
In triangle GDA, AD = 3, GD = 7.
Area =
Area =
Area = 10.5
In rectangle ABCD, DC = AB = 4, CB = AD = 3.
Area =
Area =
Area = 12
The area of the polygon is the sum of all the areas.
Area = 6 + 7 + 10.5 + 12
Area = 35.5 square units.
Hence we can conclude that the area of the polygon is 35.5 square units. Option C shows the correct area of the given polygon.
To know more about the area, follow the link given below.
