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lora16 [44]
3 years ago
5

Rationalize the denominators

Mathematics
1 answer:
SpyIntel [72]3 years ago
4 0

Answer:

16

Step-by-step explanation:

mult by root three and root 2

2 root 3 turns into 6

5 root 2 turns into 10

the bottom is now 3-2 so it is one

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If the smaller of two numbers is one-half of the larger number and the sum of the two numbers is 81 , find the numbers.
zavuch27 [327]
Let smaller number be x/2 and the larger number x.

x/2 + x = 81
x/2 + x = 3x/2
3x/2 = 81
3x = 162
x= 54

The smaller number is 54/2= 27 and the larger number is 54.
4 0
2 years ago
Find the area of the figure. Sides meet at right angles. No links please
OLga [1]

Answer:

answer: 72

Hope that helps!

3 0
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Ann [662]

Answer:

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Step-by-step explanation:

4 0
2 years ago
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What are the solutions of the inequality? -2(3x + 2) ≥ -6x - 4 Question 2 options: all real numbers x ≤ 6 no solution x ≥ 0
Tju [1.3M]

Solution, -2\left(3x+2\right)\ge \:-6x-4\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:True\quad \forall \:x\in \mathbb{R}\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}

Steps:

-2\left(3x+2\right)\ge \:-6x-4

\mathrm{Expand\:}-2\left(3x+2\right),\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac,\\a=-2,\:b=3x,\:c=2,\\-2\cdot \:3x+\left(-2\right)\cdot \:2,\\\mathrm{Apply\:minus-plus\:rules},\\+\left(-a\right)=-a,\\-2\cdot \:3x-2\cdot \:2,\\\mathrm{Simplify}\:-2\cdot \:3x-2\cdot \:2,\\\mathrm{Multiply\:the\:numbers:}\:2\cdot \:3=6,\\-6x-2\cdot \:2,\\\mathrm{Multiply\:the\:numbers:}\:2\cdot \:2=4,\\-6x-4,\\-6x-4\ge \:-6x-4

\mathrm{Add\:}4\mathrm{\:to\:both\:sides},\\-6x-4+4\ge \:-6x-4+4

\mathrm{Simplify},\\-6x\ge \:-6x

\mathrm{Add\:}6x\mathrm{\:to\:both\:sides},\\-6x+6x\ge \:-6x+6x

\mathrm{Simplify},\\0\ge \:0

\mathrm{Therefore,\:the\:final\:solution\:is},\\True\quad \forall \:x\in \mathbb{R}

Or\:No\:Solution\:x\geq 0


8 0
3 years ago
NEED ASAP DUE IN 1 HOUR
user100 [1]
10. As 8x = 2x + 60. So x =10
6 0
3 years ago
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