3 years ago

Need help with this question please

Mathematics

1 answer:

Elan Coil [88]3 years ago

4 0

Answer:

Step-by-step explanation:

You might be interested in

The area of a rectangular field is given by the trinomial t2 – 4t – 45. The length of the rectangle is t + 5. What is the expres

aniked [119]

The answer is: width = t - 9

A = l * w
A = t² - 4t - 45
l = t + 5
t² - 4t - 45 = (t + 5)w

$w= \frac{ t^{2} - 4t - 45}{t + 5} = \frac{t * t - 9t + 5t - 5 * 9}{t+5} = \frac{t(t - 9) + 5(t - 9))}{t+5} = \frac{(t-9)(t+5)}{t+5} =t-9$

7 0

3 years ago

) An engineer deploys a set of sensors. Each sensor reports its location as a point in two-dimensional space. The points are (2,

r-ruslan [8.4K]

Answer:

The polygon area is $51.5 U^{2}$

Step-by-step explanation:

Points:

(2,7), (8,2), (6,11), (6,5), (11,6)

1. The area of the polygon could be calculate with the eqation:

$A=\frac{1}{2}\left[\begin{array}{ccc}x_{1} &y_{1}\\x_{2} &y_{2}\\x_{3} &y_{3}\\x_{4} &y_{4}\\x_{5} &y_{5}\end{array}\right]$

2. Replace the coordinates in equation for A:

$A=\frac{1}{2}\left[\begin{array}{ccc}2&7}\\8&2\\6&11\\6&5\\11&6\end{array}\right]$

3. Solve the determinant, and calculate A:

$A=\frac{1}{2}\left[\begin{array}{ccc}2&7}\\8&2\\6&11\\6&5\\11&6\end{array}\right]\\A=\frac{1}{2}[(6)(7)+(11)(11)+(8)(6)+(6)(2)]-[(2)(11)+(6)(6)+(11)(2)+(8)(5)]\\A=\frac{1}{2}[42+121+48+12]-[22+36+22+40]\\A=\frac{1}{2}[223]-[120]\\\\A=\frac{1}{2}[103]=51,5 U^{2}$