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2 years ago

Which rational number is positive?

Mathematics

2 answers:

Eva8 [605]2 years ago

8 0

The answer is D because when you divide two negative numbers they become a positive !! good luck !

algol [13]2 years ago

4 0

Answer:

D because when you divide 2 negative number it will be positive

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Use the method in the Example to find the square roots of 1 + √3i

kiruha [24]

Answer:

$\sqrt{1 + \sqrt{3} i}=\pm (1.58+i 0.548)$

Step-by-step explanation:

Given

z = 1 + √3 i

Let $\sqrt{1+\sqrt(3) i}=p+iq$

Squaring both sides

$1+\sqrt(3) i=p^2-q^2+2ipq$

Comparing real and imaginary part

Re(LHS)=Re(RHS)

$1=p^2-q^2$ ...........................(1)

comparing Im(LHS)=Im(RHS)

√3=2pq

$q=\frac{\sqrt{3}}{2p}$

Substitute q in equation (1)

$1=p^2-(\frac{\sqrt{3}}{2p})^2$

$p^4-p^2-0.75=0$

Let $x=p^2$

$x^2-x-0.75=0$

$x=\dfrac{1\pm \sqrt{1^2+4\times 0.75}}{2}$

$x=\frac{1\pm 4}{2}$

we take only Positive value because $p^2=x$

x=2.5

$p^2=2.5$

thus $p=\pm 1.58$

$q=\pm 0.548$

thus,

$\sqrt{1 + \sqrt{3} i}=\pm (1.58+i 0.548)$

5 0

3 years ago

75% of ? Peaches is 15 peaches

drek231 [11]

To solve this problem you need to do a proportion. First you do 15 over x= 75 over 100. Now you multiply 15 by 100 which is 1500. Next, you divide 1500 by 75. YOUR ANSWER IS 20 peaches. To check your work, you could divide 20 by 4 which is 5. 5 times 3= 15 peaches.

6 0

3 years ago

PLS HELP ME ASAP!!!!

mafiozo [28]

Answer:

20 Km per hour.

6 0

3 years ago

Working together, Candice and Ximena painted a fence in 8 hours. Last year, Ximena painted the fence by herself. The year before

makkiz [27]

Answer: Time taken by Ximena to paint the fence alone = 24 hours

Time taken by Candice to paint the fence alone = 12 hours

Step-by-step explanation:

Let x= Time taken by Ximena to paint the fence alone .

Time taken by Candice to paint the fence alone = x-12

As per given , we have

$\dfrac{1}{x}+\dfrac{1}{x-12}=\dfrac{1}{8}\\\\\Rightarrow\ \dfrac{x-12+x}{x(x-12)}=\dfrac{1}{8}\\\\\Rightarrow\ 8(2x-12)=x^2-12x\\\\\Rightarrow\ 16x-96=x^2-12x\\\\\Rightarrow\ x^2-12x-16x+96=0\\\\\Rightarrow\ x^2-28x+96=0\\\\\Rightarrow\ x^2-4x-24x+96=0\\\\\Rightarrow\ x(x-4)-24(x-4)=0\\\\\Rightarrow\ (x-4)(x-24)=0\\\\\Rightarrow x=4, 24$

if x= 4

Time taken by Ximena = 4 hours

Time taken by Candice = 4-12 hours =-8 hours which is not possible. (time cannot be negative)

Therefore, x= 24

Such that

Time taken by Ximena to paint the fence alone = 24 hours

Time taken by Candice to paint the fence alone = 24-12=12 hours

3 0

3 years ago

HELP PLS ‼️The two lines graphed on the coordinate grid each represent an equation.

Umnica [9.8K]

Answer:

y=2/1x+5

y=-3/1+3.2

I hope this is what you were asking

8 0

2 years ago

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