Answer: 16/81 (x-10)^2 -4
Step-by-step explanation:
To write a vertex equation with just a point and the vertex, you have to figure out the variables.
In vertex form, the equation is y = a (x-h)^2 + k
Your y is 12, x = 1, h = 10, and k = -4
Plug everything into equation
12 = a (1 - 10)^2 -4
12 = a (-9)^2 - 4
12 = 81a - 4
16 = 81a
16/81 = a
Now you know what the 'a' value is.
If you graph 16/81 (x-10)^2 -4 , you will get a point at (1,12) and a vertex of (10,-4)!
I hope this helps!
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
The value of y that ensures the pool is a rectangle is 3. Option D
<h3>How to determine the value</h3>
The formula for perimeter of a rectangle is expressed as;
Perimeter = 2 ( length + width)
It is important to note that parallel sides of a rectangle are congruent, that is, they are equal.
Given the sides as;
5y + 6 = 8y -3
collect like terms
5y - 8y = -3 - 6
-3y = -9
Make 'y' the subject
y = 3
Thus, the value of y that ensures the pool is a rectangle is 3. Option D
Learn more about rectangles here:
brainly.com/question/25292087
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Answer: 9/19
Explanation: add all the die to find the total amount (19) so we know that 9 of the 19 die a green, therefore to probability is 9/19
Traditional <span>Islamic architecture during the Golden Age was </span>influenced<span> by both </span>secular<span> and religious styles</span>
