Answer:
A
Step-by-step explanation:
5 is the hypotenuse, 3 is the opposite side, and 4 is the adjacent side. Thus, the cosine of A is adjacent/hypotenuse, hence 4/5.
The elimination method works by adding the two equations and eliminating one variable. Then you solve an equation in one variable. Finally, you use substitution or elimination again to find the other variable. Sometimes, by simply adding the equations, a variable is not eliminated. Then you need to multiply one or both equations by a factor to get a variable to be eliminated.
A)
2x - 4y = 8
x + 3y = -11
Adding the equations does not eliminate x or y.
Notice that in the first equation, every coefficient is even. We can divide both sides of the first equation by 2. Then the first term would be x. Instead, let's divide both sides of the first equation by -2. Then the x's will be eliminated.
-x + 2y = -4 <-- The first equation divided by -2
x + 3y = -11 <-- The original second equation. Now we add the equations.
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5y = -15
y = -3
Now that we know y = -3, we substitute it into the first original equation and solve for x.
2x - 4y = 8
2x - 4(-3) = 8
2x + 12 = 8
2x = -4
x = -2
Answer: x = -2; y = -3
B)
We see that the x's will be eliminated by addition. Just add the equations.
-3x + 7y = 9
3x - 7y = 1
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0 + 0 = 10
0 = 10 <---- this is a false statement, so this system of equations has no solution.
A) -18
B) 129
C) 40
D) -9
E) -8
Answer:
the answer is 4.115 x 10^5
Step-by-step explanation:
hope that helps
Answer: 8
Step-by-step explanation:
We can use trigonometry to solve this:
If we call the angle at the top Ф then x is the opposite and 8 is the adjacent
Therefore we use Tan to solve this:
Tan Ф = opposite/adjacent
Tan 45 = X/8
1 = X/8
8 x 1 = X
Therefore X = 8