Let x be the width
2x-3= length
(2x-3)(x)=14
2x^2-3x=14
2x^2-3x-14=0
(2x- 7)(x+2)=0
x=7/2 or x=-2
Since we know that negative values cannot exist in distance, we have to take 7/2 to as the correct answer.
The width would be 3.5 yards
Length= 2(3.5)-3
=4 yards
3.5 x 4 yards is the dimension of the rectangle
Hope I helped :)
The average rate of change (AROC) of a function f(x) on an interval [a, b] is equal to the slope of the secant line to the graph of f(x) that passes through (a, f(a)) and (b, f(b)), a.k.a. the difference quotient given by
![f_{\mathrm{AROC}[a,b]} = \dfrac{f(b)-f(a)}{b-a}](https://tex.z-dn.net/?f=f_%7B%5Cmathrm%7BAROC%7D%5Ba%2Cb%5D%7D%20%3D%20%5Cdfrac%7Bf%28b%29-f%28a%29%7D%7Bb-a%7D)
So for f(x) = x² on [1, 5], the AROC of f is
![f_{\mathrm{AROC}[1,5]} = \dfrac{5^2-1^2}{5-1} = \dfrac{24}4 = \boxed{6}](https://tex.z-dn.net/?f=f_%7B%5Cmathrm%7BAROC%7D%5B1%2C5%5D%7D%20%3D%20%5Cdfrac%7B5%5E2-1%5E2%7D%7B5-1%7D%20%3D%20%5Cdfrac%7B24%7D4%20%3D%20%5Cboxed%7B6%7D)
The dimensions of the pool is 15m by10m
<h3>Area and perimeter of rectangle</h3>
A pool is rectangular in nature. If a rectangular swimming pool has an area of 150 square meters and a perimeter of 50 meters, then;
lw = 150
2(l+w) = 50
l + w = 25
where
l is the length
w is the width
From the equation 3
l = 25 - w
Substitute into 1
(25-w)w = 150
25w-w² = 150
w²-25w+150 = 0
w²-10w-15w+150 = 0
Factor
w(w-10)-15(w-10) = 0
w = 10 and 15
l = 150/10 = 15
Hence the dimensions of the pool is 15m by10m
Learn more on dimension here: brainly.com/question/26740257
#SPJ1
Answer:
y = -2/3x + 6
Step-by-step explanation:
To find the slope, find how much y changes in proportion to x. Here, when x changes by 1, y changes by -2/3. So, the number before x is -2/3.
To find the y-intercept, we need to find what y will be when x is 0. Since we know that when x is 1, y is 16/3, and when x decreases by 1, y increases by 2/3. So, when x is 0, y is 16/3 + 2/3, which is 18/3, or 6.
The surface area of the cube with a side length of 2 units is 24 units squared
<h3>How to determine the surface area?</h3>
The side length of the cube is given as:
l = 2
The surface area is calculated as:
Surface area = 6l^2
This gives
Surface area = 6 *2^2
Evaluate
Surface area = 24
Hence, the surface area of the cube is 24 unit squared
Read more about surface area at:
brainly.com/question/13175744
#SPJ1
