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4 years ago

REALLY NEED HELP! please see picture***

Mathematics

1 answer:

worty [1.4K]4 years ago

4 0

Answer:

14. 12/13 -8/13i

15. 5

Step-by-step explanation:

14. Multiply the fraction by the conjugate of the denominator divided by itself.

$=\dfrac{0-4i}{2-3i}=\dfrac{-4i(2+3i)}{(2-3i)(2+3i)}=\dfrac{-8i-12i^2}{2^2-(3i)^2}\\\\=\dfrac{12-8i}{4+9}=\dfrac{12}{13}-\dfrac{8}{13}i$

15 (1-2i)(1+2i) = (1)² -(2i)² = 1 -(-4) = 1+4 = 5

It can be useful to remember that z·z* = Re(z)² +Im(z)². Since the parts are squared, signs can be ignored (magnitudes used).

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Diane is participating in a 4-day cross-country biking challenge. She biked for 57, 67, and 45 miles on the first three days. Ho

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4 years ago

Which value is equivalent to 7 multiplied by 3 multiplied by 2 whole over 7 multiplied by 5, the whole raised to the power of 2

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Answer:

Option b) 36 over 25 is correct

That is given expression is equivalent to $\frac{36}{25}$

Step-by-step explanation:

Given expression can be written as below:

$(\frac{7\times 3\times 2}{7\times 5})^2\times \frac{7^0}{5^{-3}}\times 5^{-9}$

To find the value of given expression:

$(\frac{7\times 3\times 2}{7\times 5})^2\times \frac{7^0}{5^{-3}}\times 5^{-9}=(\frac{6}{5})^2\times (\frac{1}{5^{-3}})^3\times \frac{1}{5^9}$

$=(\frac{6}{5})^2\times (5^3)^3\times \frac{1}{5^9}$

$=\frac{36}{25}\times 5^9\times \frac{1}{5^9}$

$=\frac{36}{25}$

Therefore $(\frac{7\times 3\times 2}{7\times 5})^2\times \frac{7^0}{5^{-3}}\times 5^{-9}=\frac{36}{25}$

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4 years ago

What is the value of x?

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4 years ago

Solve the equation. у+ 3 = -у +9 Оy = 1 Оy= 3 O y=6 Оy= 9

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Answer:

y = 3

Step-by-step explanation:

Solve for y:

y + 3 = 9 - y

Add y to both sides:

y + y + 3 = (y - y) + 9

y - y = 0:

y + y + 3 = 9

y + y = 2 y:

2 y + 3 = 9

Subtract 3 from both sides:

2 y + (3 - 3) = 9 - 3

3 - 3 = 0:

2 y = 9 - 3

9 - 3 = 6:

2 y = 6

Divide both sides of 2 y = 6 by 2:

(2 y)/2 = 6/2

2/2 = 1:

y = 6/2

The gcd of 6 and 2 is 2, so 6/2 = (2×3)/(2×1) = 2/2×3 = 3:

Answer: y = 3

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