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aliya0001 [1]
3 years ago
12

The coordinates J(2, 2), K(-1, 3), L(-2, -1) form a right triangle. True or False.

Mathematics
2 answers:
grigory [225]3 years ago
7 0
False i hope i helped
juin [17]3 years ago
7 0

Answer:

FALSE HAVE A GREAT DAY!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

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2√6 ∙ √8 + 2√12<br><br>show your work please and thank you
meriva

Answer:

Step-by-step explanation:

multiply first,

so 2√6 x √8 = 2√48 (because when radicals are multiplied we add them)

so

2√48 can be simplified to 8√3 and 2√12 can be simplified to 4√3

8√3+4√3=12√3

8 0
3 years ago
A store is having a sale on chocolate chips and walnuts. For 3 pounds of chocolate chips and 5 pounds of walnuts, the total cost
mrs_skeptik [129]

Answer:

Step-by-step explanation:

3c + 5w = 16

6c + 2w = 22

-6c - 10w = -32

6c  + 2w = 22

-8w = -10

w = 10/8 = 5/4 = $1.25 per lb

3c + 5(1.25) = 16

3c + 6.25 = 16

3c = 9.75

c = $3.25 per lb

5 0
3 years ago
For what values of $x$ is $$\frac{x^2 + x + 3}{2x^2 + x - 6} \ge 0?$$ note: be thorough and explain why all points in your answe
Rus_ich [418]

To solve the inequality \frac{x^2+x+3}{2x^2+x-6}\ge \:0

\mathrm{Factor\:the\:left\:hand\:side\:}\frac{x^2+x+3}{2x^2+x-6}:

The numerator x^2+x+3 is not factorizable.

so factor the denominator 2x^2+x-6:

2x^2+x-6=\left(2x^2-3x\right)+\left(4x-6\right)=x\left(2x-3\right)+2\left(2x-3\right)\\ \mathrm{Factor\:out\:}x\mathrm{\:from\:}2x^2-3x\mathrm{:\quad }x\left(2x-3\right)\\ \mathrm{Factor\:out\:}2\mathrm{\:from\:}4x-6\mathrm{:\quad }2\left(2x-3\right)\\

Now take \mathrm{Factor\:out\:common\:term\:}\left(2x-3\right)

Then we get factor of the denominator as \left(2x-3\right)\left(x+2\right)

Thus \frac{x^2+x+3}{2x^2+x-6}=\frac{x^2+x+3}{\left(x+2\right)\left(2x-3\right)}

Now \mathrm{Compute\:the\:signs\:of\:the\:factors\:of\:}\frac{x^2+x+3}{\left(x+2\right)\left(2x-3\right)}\\

Signs of x^2+x+3>0

\mathrm{Choosing\:ranges\:that\:satisfy\:the\:required\:condition:}\:\ge \:\:0

x\frac{3}{2} is the required solution of the given inequality.

5 0
3 years ago
Read 2 more answers
What is the area of the trapezoid?<br><br> 80m2<br> 96m2<br> 100m2<br> 120 m2
never [62]

Answer:

100m^2

Step-by-step explanation:

area of trapezoid formula: ({b_{1} +b_{2})}{1/2h}

b=base

so

base #1= 8

base #2= 12

h(height)= 10

(8+12)=20(sum of bases)

20/2=10(sum of bases over 2)

10*10=100(height * whats remaining of bases)

100m^2

hope this helps

5 0
3 years ago
If two cards are drawn without replacement from a 52 card deck, find the probability that the second card drawn is red, given th
snow_lady [41]

Answer:

The probability that the second card drawn is red, given that the first card was a heart is 0.1225

Step-by-step explanation:

Total cards in a deck = 52

Total red cards = 26

Heart cards = 13

Probability of getting red card =\frac{13}{52}

Total remaining card = 51

Remaining red cards = 25

Probability of getting red card in second draw without replacement = \frac{25}{51}

So, the probability that the second card drawn is red, given that the first card was a heart = \frac{13}{52} \times \frac{25}{51} =0.1225

Hence the probability that the second card drawn is red, given that the first card was a heart is 0.1225

5 0
2 years ago
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