Answer:
y + 2 =
(x - 1)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
y - 4 =
(x - 3) ← is in point- slope form
with slope m = 
Parallel lines have equal slopes, thus equation of parallel line
with m =
and (a, b) = Q(1, - 2) is
y - (- 2) =
(x - 1) , that is
y + 2 =
(x - 1)
85.80/4=21.45
1 shirt costs $21.45 before sales tax
4/5(v - 7) = 2...distribute the 4/5 thru the parenthesis
4/5v - 28/5 = 2 ...multiply everything by 5
4v - 28 = 10...add 28 to both sides
4v = 10 + 28
4v = 38
v = 38/4 reduces to 19/2 or 9 1/2 <==
Answer:
x = 9
Step-by-step explanation:
This problem involves knowing the sum of angles in a triangle as well as the sum of supplementary angles. In any triangle, the sum of all the angles will always add up to 180°. Supplementary angles add up to 180° and form a straight line. In order to solve for 'x', we must set up an equation where the sum of the angles is equal to 180°. Since the last angle of the triangle is not given, but we know that the value will be equal to 180 - (14x + 1), we can simplify this to 180 - 14x -1 or 179 - 14x. We also know that this angle plus the other two angles of the triangle will add up to 180:
89 + 179 - 14x + 5x - 7 = 180
Combine like terms: 261 - 9x = 180
Inverse operations: 261 - 261 - 9x = 180 - 261 or -9x = -81
Solve for x: x = 9
Answer:
g(x) is shifted 2 units to the right and reflected over the x-axis.
Step-by-step explanation: