To solve this equation by elimination, what you would do is multiply one of the equations by -1, or distribute -1 to each term in the equation, any of the 2 equations. Then align the equations and add them together.
-(X + 3y = 3)
-X - 3y = -3
-X - 3y = -3
X + 6y = 3
__________
3y = 0
y = 0/3 = 0.
Now we can solve for x, by simply plugging the value of y into any of the 2 equations.
X + 6y = 3
X + 6(0) = 3
X + 0 = 3
X = 3.
The solution to your system of equations would be (3,0).
Check this by plugging in the point to the other equation and see if it is true.
X + 3y = 3
(3) + 3(0) = 3
3 + 0 = 3
3 = 3.
Thus it is the solution.
Answer:
68 %
Step-by-step explanation:
Since we have our mean x = 250 and standard deviation σ = 20, we need to find how many standard deviations away the values 230 and 270 are.
Note x - σ = 250 - 20 = 230 and x + σ = 250 + 20 = 270
The values are one standard deviation away.
So, the values between 230 and 270 lie in the range x - σ to x + σ.
Since the batting averages are approximately normally distributed and for a normal distribution, 68 % of the values lie in the range x - σ to x + σ.
So, 68 % of Braves players fall between 230 and 270.
C = 3b+2d is the same as 3b+2d = C
Let's isolate d. To do this, we first need to subtract 3b from both sides
3b+2d = C
3b+2d-3b = C-3b
2d = C-3b
Then divide both sides by 2
2d = C-3b
2d/2 = (C-3b)/2
d = (C-3b)/2
Take note of the parenthesis as they are very important. We want to divide ALL of C-3b over 2. We don't want to just divide -3b over 2.
The answer choices you have aren't 100% clear but I have a feeling your teacher meant to say d = (C-3b)/2 instead of d = C-3b/2 for choice A
If that assumption is correct, then the answer is choice A.
Answer:
60
Step-by-step explanation:
if the opposite of <1 is 120 and the line it is sitting on is flat, we can figure out that both connected would be 180
the equation would be 180-120=60
hope this helped
The area of a triangle is given by the formula
, where B is the base and h is the height. We can rearrange this formula to solve for B.
.
We plug in the given area, 640 square millimeters, and the given height, 32 millimeters.
.
40 mm is our final answer.
