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finlep [7]
3 years ago
12

Given h(x) = x^2-4/2, find h(-8)

Mathematics
1 answer:
vlada-n [284]3 years ago
7 0

Answer:

62

Step-by-step explanation:

(-8)^2-2

64-2 = 62

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Find z1z2 if z1 = 2/5(cos63° + isin63°) and z2 = 10/3(cos117° + isin117°).
Airida [17]

Answer:

-10/3 is the answer

Step-by-step explanation:

Given are two complex numbers as

z1=\frac{2}{5} (cos63  + isin63)\\z2=\frac{10}{3} (cos 117 + isin117})

Recall Demoivre theorem as

(cosA+isinA)(cos A+isin B) = cos(A+B)+isin(A+B)

Hence here we have sum of angles  as

A+B = 63+117 =180

z1z2=\frac{2}{5} \frac{10}{3} (cos180+isin180)

=\frac{-10}{3}

Since sin180=0 and cos 180=-1

7 0
3 years ago
What is the equation if its Slope= -3/5, y-intercept =2
Oksana_A [137]

Answer:

y = -3/5x +2

Step-by-step explanation:

y = mx + b

where m is the slope and b is the y intercept

y = -3/5x + 2

3 0
3 years ago
What are the values of x and y if this equation is true?<br><br> 22(x + yi) + (28 + 4i) 72 – 62i
ASHA 777 [7]

Answer:

x = 2

y = -3

Step-by-step explanation:

The given equation is,

22(x + yi) + (28 + 4i) = 72 - 62i

By solving this equation further,

22x + 22yi + 28 + 4i = 72 - 62i

(22x + 28) + (22y + 4)i = 72 - 62i

Now both the sides of the equation is in the form of complex number,

By comparing real and imaginary parts given on both the sides,

22x + 28 = 72

22x = 72 - 28

22x = 44

x = 2

22y + 4 = -62

22y = -62 - 4

22y = -66

y = -3

Therefore, x = 2 and y = -3 are the values for which the given equation is true.

8 0
3 years ago
Three friends share a pizza.one eighth falls on the fall and is thrown away.the remainder is shared equally..what fraction of th
maria [59]
If one eighth of the pizza falls, that leaves seven eights of the pizza to be shared:

1\ (whole\ pizza) -\frac{1}{8}=\frac{7}{8}

If the 7/8 pizza is shared between three people, then you have to divide 7/8 by 3. We know that dividing a fraction by 3 is the same as multiplying by 1/3:

\frac{7}{8} \div 3\\\\\frac{7}{8}*\frac{1}{3}\\\\\frac{7*1}{8*3}\\\\frac{7}{24}

Therefore, each person gets 7/24 of the whole pizza.
3 0
2 years ago
Tony has $727.29 in his checking account. He must maintain a $500 balance to avoid a fee. He wrote a check for $248.50 today. Wr
aleksley [76]
727.29 + 248.50 − x ≥ 500;
x ≥ $475.79 727.29 + 248.50 − x ≤ 500;
x ≤ $475.79 727.29 − 248.50 + x ≥ 500
 x ≥ $21.21 727.29 – 248.50 - x ≤ 500
 x ≤ $21.21
6 0
3 years ago
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