![\sqrt{2y} +3=11](https://tex.z-dn.net/?f=%20%5Csqrt%7B2y%7D%20%2B3%3D11)
![\sqrt{2y} =11 -3](https://tex.z-dn.net/?f=%20%5Csqrt%7B2y%7D%20%3D11%20-3)
square both sides
2y = 64
∴ y = 64/2 = 32
The answer is option D. y = 32
Answer: Jim had $28 , Kirk had $16
Step-by-step explanation:
Let's represent the amount of money they had initially as k and j respectively.
From the first statement, Kirk has 12 dollars less than Jim. Mathematically, this could be expressed as :
K + 12 = J or K = J - 12
From the second sentence, we can deduce the following : If Jim's initial amount is halved, Kirk would be 2 dollars richer. This could he expressed mathematically as ;
J/2 = K - 2
NOW , let's solve both equations simultaneously.
K = J - 12 ..........(i)
J/2 = K - 2 ........(ii)
Let's substitute for k in equation ii using equation I
J/2 = J - 12 - 2
J/2 = J - 14
J = 2J - 28
Rearranging yields
2J - J = 28
J = 28
Since K = J - 12, that means k = 28 - 12 = 16
Hence initially, Jim had $28 while Kirk had $16
Answer:
8
Step-by-step explanation:
LM = KI/2
LM = 16/2
LM = 8
Total length of fence = 420 feet
To fence 3 sides with max area = 420 ÷ 3 = 140 feet
Each side should should be140 feet
Total enclosed area = 140 x 140 = 19600 square feet.
Answer:
<u>point-slope form:</u> y - 0 = ½(x - 3)
Step-by-step explanation:
Given the slope, m = ½, and the x-intercept, (3, 0):
We can substitute these values into the point-slope form:
y - y1 = m(x - x1)
y - 0 = ½(x - 3) ← This is the point-slope form.
If ever you need to transform the point-slope form into its slope-intercept form, y = mx + b:
Distribute ½ into the parenthesis:
y - 0 = ½(x - 3)
y = ½x - 3/2 (this is the slope-intercept form).