Need help ASAP!!!!!!!!

Mathematics

1 answer:

andriy [413]4 years ago

7 0

Answer:

Step-by-step explanation

V=1/3BH= 1/3 X area of base X height

your answer should be 270

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) 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:

<em>The polygon area is </em> $51.5 U^{2}$ <em />

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:

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

<em>The polygon area is </em> $51.5 U^{2}$ <em />

8 0

4 years ago

What is the directrix of the parabola defined by (x + 3)2 = -20(y − 1)?

Aleks [24]

We have that

(x + 3)² = -20(y − 1)
<span>This is actually the vertex form, so we can obtain the vertex already
</span>the vertex is the point (h,k)------------> (-3,1)

4p=-20------------> p=-5
Focus is at (-3,1-5)---------> (-3,-4)
Directrix is at <span>y = 1-(-5)----------> y=6
</span>
the answer is
the directrix is y=6

see the attached figure