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2 years ago

what is the area and perimeter of the figure with the given vertices? (7,8) , (-5, -8) , (7,-8) , (-5,8)?

Mathematics

1 answer:

MArishka [77]2 years ago

6 0

Answer:

perimeter: 56 units
area: 192 square units

Step-by-step explanation:

We assume you're interested in the convex polygon, so the given vertices are <em>not</em> listed in order around the figure.

The figure is 12 units by 16 units, so has a perimeter of ...

P = 2(L +W)

P = 2(16 +12) = 56 . . . . units

and an area of ...

A = LW

A = (16)(12) = 192 . . . . square units

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Choose the best description for the real number 34 over 3 .

ycow [4]

Answer: the first one is irrational because it is a repeating fraction.

the third is square root of 7 is less than 14/5

the fourth is negative 5 over 6, negative 5, negative 31 over 6, negative square root 26

Step-by-step explanation: Hope this helps !

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2 years ago

A growth medium is inoculated with 1,000 bacteria, which grow at a rate of 15% each day. What is the population of the culture 6

Leto [7]

<h2>Number of bacteria after 6 days is 2313</h2>

Step-by-step explanation:

Population after n days is given by

$P_n=P_0(1+r)^n$

Initial population, P₀ = 1000

Increase rate, r = 15 % = 0.15

Number of days, n = 6

Substituting

$P_n=P_0(1+r)^n\\\\P_6=1000(1+0.15)^6\\\\P_6=1000(1.15)^6\\\\P_6=1000\times 2.313\\\\P_6=2313$

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7 0

3 years ago

Read 2 more answers

Worth 50 points!!!!!!!!!!!!!!!!!!!!!!!!

erica [24]

Hi,

o) 357 - 486 = -129
f) 4572 + 609 = 5181
b) -12 - 31 = -43
n) - 15 + 8 = -7

Hope this helps.
r3t40

5 0

3 years ago

Read 2 more answers

Write the given linear system in matrix form. Assume X = x y z . dx dt = −8x + 7y − 9z dy dt = 5x − y dz dt = 10x + 7y + 8z

Akimi4 [234]

Answer:

The matrix form of given linear system is

$\begin{bmatrix}x'\\ y'\\ z'\end{bmatrix}=\begin{bmatrix}-8 & 7 &-9\\ 5 & -1 & 0\\ 10 & 7 & 8\end{bmatrix}\begin{bmatrix}x\\ y\\ z\end{bmatrix}$

Step-by-step explanation:

Let as assume that

$X=\begin{bmatrix}x\\ y\\ z\end{bmatrix}$

Given differential equations are

$\frac{dx}{dt}=-8x+7y-9z$

$\frac{dy}{dt}=5x-y$

$\frac{dz}{dt}=10x+7y+8z$

We need to find the matrix form of given linear system.

Write the elements of left side in a column matrix.

Write all the coefficients in one matrix first which is called a coefficient matrix. Multiply coefficient matrix with the variables matrix and equate left and right side.

$\begin{bmatrix}\frac{dx}{dt}\\ \frac{dy}{dt}\\ \frac{dz}{dt}\end{bmatrix}=\begin{bmatrix}-8 & 7 &-9\\ 5 & -1 & 0\\ 10 & 7 & 8\end{bmatrix}\begin{bmatrix}x\\ y\\ z\end{bmatrix}$

It can be written as

$\begin{bmatrix}x'\\ y'\\ z'\end{bmatrix}=\begin{bmatrix}-8 & 7 &-9\\ 5 & -1 & 0\\ 10 & 7 & 8\end{bmatrix}\begin{bmatrix}x\\ y\\ z\end{bmatrix}$

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