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Over [174]
3 years ago
6

The factorization of x^2 + 3x-4 is modeled with algebra tiles

Mathematics
1 answer:
o-na [289]3 years ago
5 0

Answer:

(x-1) (x+4)

Step-by-step explanation:

i used something called the box method, basically the way i got the answer is what equals 3 when added, but multiplies to make -4

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How to find the average squared distance between the points of the unit disk and the point (1,1)
ddd [48]
The unit disk can be parameterized by the function

\mathbf p(r,\theta)=(r\cos\theta,r\sin\theta)

where 0\le r\le 1 and 0\le\theta\le2\pi. The squared distance between any point in this region (x,y)=(r\cos\theta,r\sin\theta) and the point (1, 1) is

(x-1)^2+(y-1)^2=(r\cos\theta-1)^2+(r\sin\theta-1)^2
=(r^2\cos^2\theta-2r\cos\theta+1)+(r^2\sin^2\theta-2r\sin\theta+1)
=r^2(\cos^2\theta+\sin^2\theta)-2r(\cos\theta-\sin\theta)+2
=r^2-2r(\cos\theta-\sin\theta)+2

The average squared distance is then going to be the ratio of [the sum of all squared distances between every point in the disk and the point (1, 1)] to [the area of the disk], i.e.

\dfrac{\displaystyle\iint_{x^2+y^2
=\dfrac{\displaystyle\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=1}[r^2-2r(\cos\theta-\sin\theta)+2]r\,\mathrm dr\,\mathrm d\theta}{\displaystyle\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=1}r\,\mathrm dr\,\mathrm d\theta}
=\dfrac{\frac{5\pi}2}\pi=\dfrac52
5 0
3 years ago
A plumbers plastic pipe is 4 m long, has an inside diameter of 4.0 cm and an outside diameter of 5.0cm. What is the volume of th
SCORPION-xisa [38]

Answer: V=0.0028278\ m^3

Step-by-step explanation:

Given

Length of the pipe l=4\ m

Inside diameter of the pipe d_i=4\ cm

Outside diameter of the pipe d_o=5\ cm

Volume of the pipe

\Rightarrow V=\dfrac{\pi }{4}[d_o^2-d_i^2]\\\\\text{Insert the values}\\\\\Rightarrow V=\dfrac{\pi}{4}[5^2-4^2]\times 10^{-4}\times 4\\\\\Rightarrow V=28.278\times 10^{-4}\ m^3\\\\\Rightarrow V=0.0028278\ m^3

5 0
3 years ago
Sophie has to water her aloe plant every 18 days and her spiral cactus every 30 days .if she waters both plants today,how long w
Serggg [28]

Answer:

both watered on the same day, If we multiply 18 by any number such as 2,3,4,5 we can find the next soonest date that they will both be watered on. 18*2,3,4,5   30,2,3,4,5  

18*2,3,4 are not multiples of 30, 18*5 is 90

30*2 is not a multiple of 18, 30*3 is 90

Now we know the next closest date they will be watered again is 90 days from now.

Step-by-step explanation:


7 0
4 years ago
Pls help and take your time cuz if I get this wrong I fail WILL MARK BRAINIEST
grin007 [14]
The slope of the line is 7 because it is a slope
7 0
3 years ago
Read 2 more answers
Micah places a mirror on the ground 24 feet from the base of a tree. He walks
irina [24]

The height of tree is 8 feet

<h3><u>Solution:</u></h3>

Given, Micah places a mirror on the ground 24 feet from the base of a tree

At that point, Micah's eyes are 6 feet above the ground  

And he is 9 feet from the image in the mirror.  

To find : height of tree = ?

Let "n" be the height of tree

From the question, we can see there is a directly proportional relationship between heights and distances.

Proportional relationships are relationships between two variables where their ratios are equivalent.

\frac{\text { height of micah eyes above ground }}{\text { distance of micah from mirror }}=\frac{\text { height of tree above the ground }}{\text { distance of tree from mirror }}

\begin{array}{l}{\frac{6 \text { feet }}{9 \text { feet }}=\frac{n \text { feet }}{24 \text { feet }}} \\\\ {\frac{6}{9}=\frac{n}{24}} \\\\ {\text { n }=\frac{1}{3} \times 24} \\\\ {\text { n }=8}\end{array}

Hence, the height of the tree is 8 feet

6 0
3 years ago
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