Answer:
A)
Step-by-step explanation:
To find the answer we must solve each of the systems separately. Starting with the first one:
x + y = 2
2x - y = 10
We must find what x or y is equal to and then replace it in the second equation. I'll go with y as it seems easier:
x + y = 2
y = 2 - x
Now that we found y we replace it in the second equation this way. Be careful with the signs, the minus with change our signs:
2x - (2 - x) = 10
2x - 2 + x = 10
3x = 12
x = 12/3
x = 4
Now that we have x, we replace the variable with its value in one of the equations. Again, for simplicity I'll go with the one that seems easier.
4 + y = 2
y = 2 - 4
y = - 2
Answer:
(8, 2)
Step-by-step explanation:
When taking a point and reflecting it over the y-axis, the x coordinate turns into its opposite.
(-8, 2) ⇒ (8, 2)
Answer:
The sum of the first 650 terms of the given arithmetic sequence is 2,322,775
Step-by-step explanation:
The first term here is 4
while the nth term would be ai = a(i-1) + 11
Kindly note that i and 1 are subscript of a
Mathematically, the sum of n terms of an arithmetic sequence can be calculated using the formula
Sn = n/2[2a + (n-1)d)
Here, our n is 650, a is 4, d is the difference between two successive terms which is 11.
Plugging these values, we have
Sn = (650/2) (2(4) + (650-1)11)
Sn = 325(8 + 7,139)
Sn = 325(7,147)
Sn = 2,322,775
Answer:
Step-by-step explanation:
Quadratic equations of the form (x - h)^2 + k = 0 can be solved using square roots: Take the square root of both sides, prefacing the right side with " ± "
So y=2x is the only answer that fit y=kx, while k=2
