Answer:
13 square units
Step-by-step explanation:
The bounding rectangle is 4 units wide and 5 units high, so has an area of 4×5 = 20 square units. From that are subtracted the areas of 4 triangles. 2 of them are 3 wide and 1 high, so have a combined area of 3×1 = 3 square units. The other two are 1 wide and 4 high, so have a combined area of 1×4 = 4 square units.
Then the area of the parallelogram is ...
20 -3 -4 = 13 . . . . square units
How does one get 24 from 16? Answer: Multiply 16 by (3/2). If we want 4/16 = m/24 to be a proportion, then multiply m by (3/2) also:
4 (3/2)m
------ * ----------------
16 24
To answer this question fully, we must solve for m:
Multiply
4 24
---- by --------- , which produces 96/24 = 4/1, or just 4. m = 4.
16 (3/2)
We have a system of equations 2x - 4y = 5 and 6x - 3y = 10.
We want to eliminate one variable when we add up the equations.
If we want to eliminate the x variable, we need to multiply the top, bottom or both of the equations with a number that when the equations are added together will eliminate the x variable.
Multiply the top equation by -3.
-3(2x - 4y) = 5 * -3
-6x + 12y = -15
Now when we add the two equations together, the x's will be eliminated.
-6x + 12y = -15
6x + 6y = 10
18y = -5
The x's were eliminated.
Answer:
Step-by-step explanation:
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