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shepuryov [24]
2 years ago
7

Simplify your answer as much as possible

Mathematics
1 answer:
loris [4]2 years ago
7 0

9514 1404 393

Answer:

  -4u^2/y+(5/2)y^3u^2

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)/(a^c) = a^(b-c)

__

  (8y^2u^7-5y^6u^7)\div(-2y^3u^5)=\dfrac{8y^2u^7-5y^6u^7}{-2y^3u^5}\\\\=-4y^{2-3}u^{7-5}+\dfrac{5}{2}y^{6-3}u^{7-5}=\boxed{\dfrac{-4u^2}{y}+\dfrac{5}{2}y^3u^2}

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find an equation for the perpendicular bisector of the line segment whose endpoints are (-8,-5) and (-4,1)
lbvjy [14]

Answer:

y = -x - 8

Step-by-step explanation:

Midpoint of the line:

x = (x1 + x2)/2 = (-8 + -4)/2 = -12/2 = -6

y = (y1 + y2)/2 = (-5 + 1)/2 = -4/2 = -2

so midpoint is (-6,-2)

Slope of the line: Slope m = (y2-y1)/(x2-x1)

m = (-1 - -5)/(-4 - -8) = (-1 + 5)/(-4 + 8) = 4/4 = 1

Perpendicular lines have slopes that are negative reciprocals of one another

so slope of the perpendicular line is -1/1 is -1

y = mx + b

y = -x + b

Using (-6,-2)

-2 = -(-6) + b

-2 = 6 + b

b = -8

so y = -x - 8

6 0
2 years ago
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A compact disc has an approximate Radius of 2 3/8 inches, what is the approximate area of a CD
professor190 [17]

Answer:

A≈12.57      

r Radius 2

Step-by-step explanation:

6 0
3 years ago
Find the value of X or Y so that the line through the points has the given slope. (X, 0) and (4,1); slope: 1/5
Ronch [10]
Point slope formula:
(y₂ -y₁) = m(x₂ - x₁)
(1 - 0) = \frac{1}{5}(4 - X)
1 = \frac{4}{5} - \frac{1}{5} X
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2 years ago
22. Find the perimeter and area.
zmey [24]

Answer:

Part 22) The area is A=15a^3b^6\ units^2( and the perimeter is P=10a^2b^4+6ab^2\ unit

Part 24) The area is A=16m^3n\ units^2 and the perimeter is P=24mn\ units    

Part 26) The area is equal to A=9\pi x^6y^{2}\ units^2

Step-by-step explanation:

Part 22) Find the perimeter and area

step 1

The area of a rectangle is equal to

A=LW

we have

L=5(a^2)(b^4)\ units

W=3(a)(b^2)\ units

Remember that

When multiply exponents with the same base, adds the exponents and maintain the base

substitute in the formula

A=(5(a^2)(b^4))(3(a)(b^2))

A=15a^3b^6\ units^2

step 2

The perimeter of a rectangle is equal to

P=2(L+W)

we have

L=5(a^2)(b^4)\ units

W=3(a)(b^2)\ units  

substitute in the formula

P=2(5(a^2)(b^4)+3(a)(b^2))

P=10a^2b^4+6ab^2\ unit

Part 24) Find the perimeter and area

step 1

The area of triangle is equal to

A=\frac{1}{2}bh

where

b=8mn\ units

h=4m^2\ units

Remember that

When multiply exponents with the same base, adds the exponents and maintain the base

substitute the given values

A=\frac{1}{2}(8mn)(4m^2)

A=16m^3n\ units^2

step 2

Find the perimeter

I will assume that is an equilateral triangle (has three equal length sides)

The perimeter of an equilateral triangle is

P=3b

where

b=8mn\ units

substitute

P=3(8mn)

P=24mn\ units

Part 26) Find the area

The area of a circle is equal to

A=\pi r^{2}

where

r=3x^3y\ units

Remember the property

(a^{m})^{n}=a^{m*n}

substitute in the formula the given value

A=\pi (3x^3y)^{2}

A=9\pi x^6y^{2}\ units^2

6 0
3 years ago
Solve y = -7(-13)<br><br> I'm giving 30 points!
VARVARA [1.3K]

y = -7(-13)

=> y = -7 × (-13)

= y = 91

4 0
2 years ago
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