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2 years ago

(2x^2-4xy+2y)(3x-4) help solve! please show steps.

Mathematics

1 answer:

larisa [96]2 years ago

5 0

9514 1404 393

Answer:

Step-by-step explanation:

The distributive property is used for this purpose. I find it easier to distribute the shorter factor.

$(2x^2-4xy+2y^2)(3x-4)\\\\=(3x)(2x^2-4xy+2y^2)-(4)(2x^2-4xy+2y^2)\\\\=6x^3-12x^2y+6xy^2-8x^2+16xy-8y^2\quad\text{matches choice S)}$

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Kim was walking down a rocky path.For 4 minutes, the elevation dropped steadily.All together it dropped 8 feet. What was the cha

fenix001 [56]

Answer:

2 $\frac {{\textrm{feet}}}{{\textrm{minute}}}$

Step-by-step explanation:

Kim was walking down a rocky path. For 4 minutes, the elevation dropped steadily. All together it dropped 8 feet.

So, the change in elevation per minute for the 4 minutes is given by,

$\frac {8}{4} \frac {{\textrm{feet}}}{{\textrm{minute}}}$

= 2 $\frac {{\textrm{feet}}}{{\textrm{minute}}}$

(Answer)

8 0

3 years ago

t hits the square dartboard shown below at a random point. Find the probability that the dart lands in the shaded circular regio

masha68 [24]

Given:

Required:

To find the probability that the dart land will be in the shaded region.

Explanation:

Area of the circle is given by the formula:

$A=\pi r^2$

Where r = radius

Thus the area of the circular region

$\begin{gathered} =(3.14)\times(2)^2 \\ =3.14\times4 \\ =12.56\text{ square in.} \end{gathered}$

The area of the square is given by the formula:

$=(side)^2$

Thus the area of the given square

$\begin{gathered} =(6)^2 \\ =36\text{ square in.} \end{gathered}$

The probability of an event is given by the formula:

$P=\frac{number\text{ of possible outcomes}}{Total\text{ number of outcomes}}$

The probability that the dart land will be in the shaded region

$=\frac{Area\text{ of the shaded region}}{Area\text{ of the square}}$

Thus probability

$\begin{gathered} P=\frac{12.56}{36} \\ P=0.3488 \\ P=0.349 \end{gathered}$

Final answer:

Thus the probability that the dart land will be in the shaded region is 0.349.

6 0

1 year ago

Find the circumference of a circle that has an area of 452.16 square meters. (Use 3.1416 as the value of π.)

laila [671]

$\bf \textit{area of a circle}\\\\
A=\pi r^2\quad 
\begin{cases}
r=radius\\
-----\\
A=452.16
\end{cases}\implies 452.16=\pi r^2\implies \cfrac{452.16}{\pi }=r^2
\\\\\\
\boxed{\sqrt{\cfrac{452.16}{\pi }}=r}\\\\
-------------------------------\\\\
\textit{circumference of a circle}\\\\
C=2\pi r\qquad \qquad \implies C=2\pi \left( \boxed{\sqrt{\cfrac{452.16}{\pi }}} \right)$

so, is just that product, recall to use "<span>3.1416 as the value of π".</span>

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