Supplementary angles, when added, = 180 degrees
a + b = 180
a = 5b - 12
5b - 12 + b = 180
6b - 12 = 180
6b = 180 + 12
6b = 192
b = 192/6
b = 32 <=== one angle is 32 degrees
a = 5b - 12
a = 5(32) - 12
a = 160 - 12
a = 148 <=== the other angle is 148
Answer:
a) The answer is: (x + a, y + b)
b) The answer is: (-1, -2)
The initial coordinates are:
(x, y) = (-2, -5)
Let's find a and b.
a is a distance in x direction: a = 1
b is a distance in y direction: b = 3
The final position is:
(x + a, y + b) = (-2 + 1, -5 + 3) = (-1, -2)
Step-by-step explanation:
Solution:

Two or more fractions are said to be equivalent , if reduced in lowest terms that is numerator and denominator are co-prime, they are equal.
Three out of five is shaded.
Equivalent fraction of

One way to locate the vertex is to obtain the coefficients a, b and c from the quadratic and then calculate
-(-16)
x = -b / (2a). Here, x = ---------- = -2
2(-4)
Next, evaluate y at x = -2: y = -4(-2)^2 - 16(-2) - 12 = -16 + 32 - 12
y = 4
the vertex is at (-2,4).
Y = X - 9
so 3X +2Y = 2
will be 3X +2×(X-9) = 2
3X + 2X -18 = 2
5X = 2 + 18
5X = 20
X = 4
Y = X - 9
Y = 4-9
Y = -5
the answer will be A) (4,-5)
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