The answer would be A. -16
The answer is B) rotation 90 degrees counterclockwise about the origin
Is there an image i don’t understand what expressions you’re asking for?
(-1,4)(2,3)
slope = (3-4) / (2-(-1) = -1/3....a parallel line will have the same slope
y = mx + b
slope(m) = -1/3
(4,-2)...x = 4 and y = -2
now we sub
-2 = -1/3(4) + b
-2 = - 4/3 + b
-2 + 4/3 = b
-6/3 + 4/3 = b
-2/3 = b
equation in slope int form is : y = -1/3x - 2/3
y = -1/3x - 2/3
1/3x + y = - 2/3...multiply by 3
x + 3y = - 2
x + 3y + 2 = 0 <== general form
Answer:
12, 14
Step-by-step explanation:
Let's call the smallest number n.
Let n + 2 = the larger even integer.
Let's write our equation:
"The smaller of two consecutive even integers is five more" would be +5 and "nne half of the greater" can be written as (n + 2).
n = 5 + (n + 2)
Solvew for n.
n = 5 + (n + 2)
Let's multiply each side by 2, to get rid of the fraction, .
2 (n) = 2(5 + (n + 2))
2n = 2* 5 + 2*((n + 2))
2n = 10 + (n + 2)
2n = 10 + n + 2
2n = 10 + 2 + n
2n = 12 + n Subtract n from each side.
2n - n = 12 + n - n
2n - n = 12
n = 12
Let's solve for our other integer:
n + 2 = 12 + 2 = 14
So our 2 consecutive, even integers are
12 and 14