Answer:
1. initial point is (2, 4)
reflected point is (-2, 4)
the coordinates are similar because they involve the same numbers, however, with the reflection across the Y axis, the X point became negative.
2. initial point is (2, 4)
reflected point is (2, -4)
again, same numbers but the X value becomes negative
Hope this helps!
Reflexive property
for all real numbers (x)
a number equals itself (x=x)
Answer:
( x-6)^2 -17
Step-by-step explanation:
X^2 - 12x + 19
we need it in given below form
(x + a)^2 + b
we know that
lets convert that in same form
X^2 - 12x + 19 = x^2 + 2(-6)x + 19
comparing x^2 + 2(-6)x to x^2 + 2ax
we have a -6
now
(x-6)^2 = x^2 + 2(-6)x + 36
36 is missing in the x^2 + 2(-6)x + 19 hence to get that
we add and subtract 36 in the above equation
so we have
x^2 + 2(-6)x + 19 + 36 -36
rearranging it \
(x^2 + 2(-6)x + 36) -36 + 19 (x^2 + 2(-6)x + 36 =( x-6)^2)
=>( x-6)^2 -17
comparing the above equation to
(x + a)^2 + b
we have a = -6
b = -17
( x-6)^2 -17
Answer:
Step-by-step explanation:
Gym A has a $150 joining fee and costs $35 per month.
Assuming that Casey wants to attend for x months, the cost of using gym A will be
150 + 35 times x months. It becomes
150 + 35x
Gym B has no joining fee and costs $60 per month.
Again, assuming that Casey wants to attend for x months, the cost of using gym B will be
60 × x months = 60x
A) To determine the number of months that it will both gym memberships to be the same, we will equate them.
150 + 35x = 60x
60x - 35x = 150
25x = 150
x = 150/25 = 6
It will take 6 months for both gym memberships to be the same.
B) If Casey plans to only go to the gym for 5 months,
Plan A will cost 150 + 35×5 = $325
Plan B will cost 60 × 5 = $300
Plan B will be cheaper
Answer:
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Step-by-step explanation:
