Answer:
a
Step-by-step explanation:
Answer:
35/3
Step-by-step explanation:
Simplify to get
9x+14=3(4x-7)
35=3x
x=35/3 or 11.66
What is the median of the data set? <br>
{10, 15, 14, 14, 10, 10, 8, 18, 11, 12, 17, 16}
Alexus [3.1K]
The median of a data set is the 'middle number'. You can find the median by listing the given numbers from least to greatest (left to right) and finding the middle number.
8, 10, 10, 10, 11, 12, 14, 14, 15, 16, 17, 18
Cross one out on each side before getting to your last number that should be in the middle.
The middle numbers are: 12 and 14. If it was only one number, we could already have the answer, but since it is two numbers in the middle, we need to add them up and divide by 2.
12 + 14 = 26
26 ÷ 2 = 13
So, the median of the data set is: 13.
Answer: k = 12
<u>Step-by-step explanation:</u>
x² + kx + 36 = 0
In order for x to have exactly one solution, it must be a perfect square.
(x + √36)² = 0
(x + 6)² = 0
(x + 6)(x + 6) = 0
x² + 6x + 6x + 36 = 0
x² + 12x + 36 = 0
k = 12
<h3>
Answer: (x-10)^2 + (y-1)^2 = 25</h3>
============================================
Explanation:
The general template of a circle is
(x-h)^2 + (y-k)^2 = r^2
Where,
- (h,k) is the center
- r is the radius
We are given (10,1) as the center so (h,k) = (10,1) meaning that h = 10 and k = 1 pair up together.
r = 5 is the given radius.
-----
Plug the values h = 10, k = 1, r = 5 into the equation to get:
(x-h)^2 + (y-k)^2 = r^2
(x-10)^2 + (y-1)^2 = 5^2
(x-10)^2 + (y-1)^2 = 25
