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tigry1 [53]
3 years ago
11

What is the simplest form of the expression representing this quotient?

Mathematics
1 answer:
Tpy6a [65]3 years ago
8 0

9514 1404 393

Answer:

  (x +5)/(6x -30)

Step-by-step explanation:

In general, you factor the expressions and cancel factors that can be cancelled. The "invert and multiply" rule for dividing fractions also applies to rational expressions.

  \dfrac{x^2-2x}{x^2-10x+25}\div\dfrac{6x^2-12x}{x^2-25}=\dfrac{x^2-2x}{x^2-10x+25}\times\dfrac{x^2-25}{6x^2-12x}\\\\=\dfrac{x(x-2)(x-5)(x+5)}{6x(x-2)(x-5)(x-5)}=\dfrac{x+5}{6(x-5)}=\boxed{\dfrac{x+5}{6x-30}}\qquad x\notin\{-5,0,2,5\}

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What is the surface area of the figure shown? (Use 3.14 for π.)
Ivanshal [37]
We know that
Part 1) 
[surface area of a cone without base]=<span>π*r*l
r=3 in
l=slant height ----> 6 in
</span>[surface area of a cone without base]=π*3*6------> 56.52 in²

[surface area of a cylinder]=π*r²+2*π*r*h------> only one base
r=3 in
h=5 in
[surface area of a cylinder]=π*r²+2*π*r*h
[surface area of a cylinder]=π*3²+2*π*3*5-----> 122.46 in²

[surface area of the composite figure]=56.52+122.46-----> 178.98 in²

the answer Part A) is
 178.98 in²

Part B) 
[surface area of the composite figure]
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the answer Part B) is 
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4 0
4 years ago
There are 5 green 6 red 3 purple and 4 blue marbles in a bag. If a marble is chosen, then replaced, and a second marble us drawn
Luda [366]
Google the question to find the answer
4 0
3 years ago
9th grade ..Plz solve this maths​
8_murik_8 [283]

since the polygon has 8 chambers the angle of one chamber = 360/8 = 45°

so the angle WOP = 45°

now drawing a imaginary line which seperates the triangleWOP into half

so the angle of imaginary line is 45/2 = 22.5

sin(theta) = opp/hyp

since WP (opp) is unknown. take as x

sin(22.5) = x/44

0.383×4 = x

x = 1.532 (app) = 1.5 cm

perimeter = 1.5 × 8

= 12 cm

area of triangle WOP = 2×1/2 ×bh = bh

= 4×1.5

= 6 cm²

so the area of regular polygon = 8× area of a triangle

= 48 cm²

6 0
3 years ago
BRAINLIEST!!! solve for x <br> 3(2x-4)-4x+7&lt;9
Shalnov [3]

3(2x-4)-4x+7<9

               -7    -7

3(2x-4)-4x<2

6x-12-4x<2

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6x-4x<14

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/2    /2

x<7

6 0
4 years ago
A temperature of F degrees Fahrenheit is
tresset_1 [31]

Answer:

55 degrees in Celsius

Step-by-step explanation:

here is a formula to help: (131°F - 32) x 5/9 (the / is not for division, it's a fraction) = 55°C

4 0
3 years ago
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