A because you always need money put aside.
Create formulas for length and perimeter.
L = 4/W
10 = 2*L + 2*W
Substitute formula for length for the length in perimeter formula
10 = 2*4/W + 2*W
10 = 8/W + 2*W
5 = 4/W + W
5W = 4 + W^2
0 = 4 - 5W + W^2
W^2 -5W + 4 = 0
You now have a standard quadratic equation with A=1, B=-5, and C=4
Using the quadratic formula you get two possible answers
W = 1, or W = 4
Let's check them
Width = 1, L = 4/1 = 4
Width = 4, L = 4/4 = 1
Both make the same 1x4 rectangle. And the perimeter is 2*1 + 2*4 = 2+8 = 10
Given:
A figure of a circle. A secant SU and a tangent SR is drawn to the circle from the external point S.
To find:
The measure of the line segment TU.
Solution:
According to the secant tangent segment theorem, the square of tangent is equal to the product of secant and external segment of the secant.
Using secant tangent segment theorem, we get
Subtract both sides by 960.
Divide both sides by 64.
Now, the measure of the line segment TU is:
Therefore, the correct option is C.
The intercepts and the standard form of each polynomial are listed below:
- x-Intercept: x = - 4 or x = 6, Standard form: f(x) = x² - 2 · x - 24, y-Intercept: f(0) = - 24
- x-Intercept: x = 1 / 4 or x = 3, Standard form: f(x) = 2 · x² - 10 · x + 12, y-Intercept: f(0) = 12
<h3>How to find the intercepts and the standard form of quadratic equations</h3>
In this case we need to find the intercepts of each quadratic equation and transform each quadratic equation into standard form. The x-intercept correspond with each of the roots of the polynomial and the y-intercept is found by evaluating the expression at x = 0.
Now we proceed to find each element:
Case 1
x-Intercept
x = - 4 or x = 6
Standard form
f(x) = (x + 4) · (x - 6)
f(x) = x² - 2 · x - 24
y-Intercept
f(0) = - 24
Case 2
x-Intercept
x = 1 / 4 or x = 3
Standard form
f(x) = (2 · x - 4) · (x - 3)
f(x) = 2 · (x - 2) · (x - 3)
f(x) = 2 · (x² - 5 · x + 6)
f(x) = 2 · x² - 10 · x + 12
y-Intercept
f(0) = 12
To learn more on quadratic equations: brainly.com/question/1863222
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Answer:
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Step-by-step explanation: