Answer:
(0, -6)
Step-by-step explanation:
Given the following systems of linear equations;
3x - 2y = 12 ...... equation 1
16x - 4y = 24 ........ equation 2
We would solve for the solution using the elimination method;
Multiplying eqn 1 by 2, we have;
2 * (3x - 2y = 12)
6x - 4y = 24
16x - 4y = 24
Subtracting the two equations, we have;
(6x - 16x) + (-4y -[-4y]) = (24 - 24)
-10x - 0 = 0
-10x = 0
x = -0/10 = 0
Next, we would find the value of y;
3x - 2y = 12
3(0) - 2y = 12
0 - 2y = 12
-2y = 12
y = -12/2
y = -6
Check:
3x - 2y = 12
3(0) - 2(-6) = 12
0 - (-12) = 12
12 = 12
Note: the options provided for this questions are incorrect or inappropriate.
Answer: 50653
37³ = (40 - 3)³ = 40³ - 3.40².3 + 3.40.3² - 3³
= 64000 - 14400 + 1080 - 27
= 50653
Step-by-step explanation:
Answer:
19 - (6/5)j
Step-by-step explanation:
In this expression we have addition, subtraction and multiplication.
According to order of operations rules, mult. and div. must be carried out before add. or subt.
Therefore, we begin with 17+(-4), which becomes 17 - 4, or 13.
Next we see -4/5j, by which I assume you mean -4/5 * j.
Summarizing what we have so far:
13 - (4/5)j - 2/5j + 6
Combining the j terms, we get
13 - (6/5)j + 6, which collapses to 19 - (6/5)j.
We are given a rain gutter made from folding a 12 inch wide aluminum sheet to an angle theta. The area of the opening is expressed as A(Θ) = 16 sin Θ (cos Θ + 1) where <span>Θ = 45°. we can just substitute directly the angle in degrees mode in the calculator and the answer is equal to 19.32 inches2.</span>
