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2 years ago

Factor the mn+5m-3n-15

Mathematics

1 answer:

neonofarm [45]2 years ago

3 0

The factor of mn+5m-3n-15 is 6m-4n-15.

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The equation is y = -5(3^x)

balandron [24]

Answer:

Step-by-step explanation:

Since the number outside of the parentheses is -5, the negative factor means that the line is reflected across the x-axis.

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2 years ago

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Semicircles

Studentka2010 [4]

Answer:

The area of the shaded portion of the figure is $9.1\ cm^2$

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The shaded area is equal to the area of the square less the area not shaded.

There are 4 "not shaded" regions.

step 1

Find the area of square ABCD

The area of square is equal to

$A=b^2$

where

b is the length side of the square

we have

$b=4\ cm$

substitute

$A=4^2=16\ cm^2$

step 2

We can find the area of 2 "not shaded" regions by calculating the area of the square less two semi-circles (one circle):

The area of circle is equal to

$A=\pi r^{2}$

The diameter of the circle is equal to the length side of the square

$r=\frac{b}{2}=\frac{4}{2}=2\ cm$ ---> radius is half the diameter

substitute

$A=\pi (2)^{2}$

$A=4\pi\ cm^2$

Therefore, the area of 2 "not-shaded" regions is:

$A=(16-4\pi) \ cm^2$

and the area of 4 "not-shaded" regions is:

$A=2(16-4\pi)=(32-8\pi)\ cm^2$

step 3

Find the area of the shaded region

Remember that the area of the shaded region is the area of the square less 4 "not shaded" regions:

$A=16-(32-8\pi)=(8\pi-16)\ cm^2$

---> exact value

assume

$\pi =3.14$

substitute

$A=(8(3.14)-16)=9.1\ cm^2$

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3 years ago

A man is 32 years old and his son is 5 years old. How many years hence will the

ArbitrLikvidat [17]

Answer:

Step-by-step explanation:

the current ages:

father= 32 yrs old

son=5 yrs old

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4(5+x) = 32+x

20+4x = 32+x

4x-x = 32–20

3x =12

x = 12/3

x = 4 years

------------------------------------

after the 4 years later the farther age will be 36 ( 32+4 = 36)

the son will be 9 ( 5+4= 9 years)

the x presents how the father will be after 4 times the age of the son

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2 years ago

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Answer:

it means that there will be no solution .

<h2><em>hope this helped <3</em></h2><h2><em /></h2>

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3 years ago

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Please help 25 points and brainlist if right.

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6. 5. That’s the answer hope it helps

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