Step-by-step explanation:
x - y + 5z = 29
y + 2z = 4
z = 7
since z = 7 we can use this value in second equation
y + 2×7 = 4 and y = -10
now we know the value of y we can solve the first equation
x -(-10) + 5×7 = 29
x + 10 + 35 = 29
x = -11
Answer:
(6,7) is a solution
Step-by-step explanation:
To determine if (6,7) is a solution, we substitute the point in and see if the inequality is true
15x+11y>12
15(6) + 11(7) >12
90+77 > 12
167>12
This is true so (6,7) is a solution
The solution to the problem is as follows:
<span>
cot θ = cos θ / sin θ </span>
<span>So sinθ * cot θ = cos θ after cancelling sin θ </span>
<span>Now cosθ + sin θ cot θ = cos θ + cos θ = 2 cos θ
</span>
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14. (n-5)*4+7
15. No, this would not be neccesary because if I were to distribute 1/2 to both 4 and 6, I know that I would get half of those numbers which would give me 2x+3. I also know that if I distribute 1/3 to both 9 and 24, I would get 1/3 of each number which would be 3 and 8.
Answer:
A
Step-by-step explanation:
We cannot take the square root of a negative number without using complex numbers. Because of this, both 5x and x+3 must be non-negative in order for the product to be defined.
- 5x ≥ 0 implies that x ≥ 0
- x + 3 ≥ 0 implies that x ≥ -3
Both of these are satisfied if and only if x ≥ 0 (note that if x ≥ 0, then x is automatically greater than or equal to -3). Therefore, the correct answer is x ≥ 0.
