Answer:
x + y = 3 (infinite solutions)
Step-by-step explanation:
You observe that all of the numbers in the second equation are multiples of 3. When you divide the second equation by 3, it becomes identical to the first equation. The equations are said to be "dependent."
That means both equations graph as the same line, so will intersect at every point on the line. The system of equations has an infinite number of solutions.
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<em>Additional comments</em>
There are a number of ways to solve a system of equations. Two methods commonly taught are "substitution" and "elimination". Either one works here.
We can solve the first equation for y by subtracting x from both sides:
x +y -x = 3 -x
y = -x +3 . . . . . . simplify
In this form, the slope is the coefficient of x. Here, it is -1.
This expression for y can be substituted into the other equation:
3x +3(-x +3) = 9
3x -3x +9 = 9 . . . . . eliminate parentheses
9 = 9 . . . . . . . . . . . simplify
This is true for all values of x or y. There are an infinite number of solutions.
Multiply the √49 by √4 - this will give you √196 over 4
√196 = 14
therefore you have 14/4
divide each by 2 to simplify
this gives you 7/2 <-- your final answer
Answer:
B) 0.1
Step-by-step explanation:
The prefix "deci-" means "tenth", so a decigram would be one-tenth of a gram (or 0.1 grams). Therefore, option B is correct.
Alright, so you know that the formula for the area of a triangle is a=bh/2
First start out by identifying your base and height.
Base is the side that the shape is "standing on", in this case, that would be 9cm.
Now, the height is the measurement that is perpendicular (90 degrees to the base), which in this case is 12 cm.
Now, plug these values into your formula
(12)(9) /2 = 54 cm squared! hope this helps :)
