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3 years ago

What is the property of (6+x)5=6(5)+x(5)?

Mathematics

1 answer:

Aneli [31]3 years ago

8 0

This would be the distribution property, since the 5 is being distributed to the 6 and x.

Hope this helps!

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2b) A farmer is building a pen inside a barn. The pen will be in the shape of a right triangle.

kenny6666 [7]

Answer:

Step-by-step explanation:

the sum of any two sides of a right triangle more than any other side

14+15>29, x is less than 29

14+x>15

x>1

15+x>14

x>-1

1<x<29

lets use Pythagorean Theorem

14^(2)+15^(2)=c^2

196+225=c^2

421=c^2

plusminus sqrt(421)=c

distance can't be negative, so:

c=sqrt(421)

c=20.5182845287

sqrt(421) is the largest possible right triangle side

1<x $\leq$ sqrt(421)

B) as we can see from above, the largest possible length of the third side is 14/sqrt(421) or about 20.5182845287ft

C)sqrt(421) by 14 by 15

tan(x1)=15/14

x1=tan^-1(15/14)

x1=47 degrees

tan(x2)=14/15

x2=tan^-1(14/15)

x2=43 degrees

7 0

3 years ago

Mikayla caught a value pack of crackers for $6.72. The value pack had 24 individually wrapped crackers packages. Solve 24x = $6.

Licemer1 [7]

Answer:

0.28$

Step-by-step explanation:

divide

7 0

3 years ago

Solve ? : 14 = 5 : 2

Vesnalui [34]

I looked it up and wrote the 14=5:2 in and this is what it said

8 0

3 years ago

If y=1/(x^4+1)^3, find dy/dx

larisa [96]

Answer:

-12x³

(x⁴ +1)⁴

Step-by-step explanation:

y=1/(x^4+1)^3

y= (x⁴+1)-³

dy = d(x⁴+1)-³ × d(x⁴+1)

dx d(x⁴+1) dx

=-3.(x⁴+1)-³-¹× 4x³

= -12x³(x⁴+1)-⁴

= -12x³

(x⁴+1)⁴

Note: dx^n =(n. x^n-1)dx

dx dx

4 0

4 years ago

Solve the simultaneous equations x + 7y = 15 x + 2y = 5

Juliette [100K]

Answer:

x=1, y=2

Step-by-step explanation:

x + 7y = 15

x + 2y = 5

Subtract the two equations

x + 7y = 15

-x - 2y =- 5

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

0x +5y = 10

Divide by 5

5y/5 = 10/5

y =2

Now find x

x+2y = 5

x +2(2) = 5

x +4 = 5

Subtract 4 from each side

x-4+4 = 5-4

x = 1

3 0

3 years ago

Read 2 more answers