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valkas [14]
3 years ago
14

Juan was playing a game in which he gained and lost points. First, he

Mathematics
1 answer:
____ [38]3 years ago
5 0

Answer:

Juan has lost 61 points, or has gained negative 61 points.

Step-by-step explanation:

0 - 28 = -28

-28 + 22 = -6

-6 + -20 = -26

-26 + -35 = -61

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Find the quotient of these Complex Numbers. <br><br><br> (5-i) / (3+2i)
JulsSmile [24]

Let the given complex number

z = x + ix = \dfrac{5-i}{3+2i}

We have to find the standard form of complex number.

Solution:

∴ x + iy = \dfrac{5-i}{3+2i}

Rationalising numerator part of complex number, we get

x + iy = \dfrac{5-i}{3+2i}\times \dfrac{3-2i}{3-2i}

⇒ x + iy = \dfrac{(5-i)(3-2i)}{3^2-(2i)^2}

Using the algebraic identity:

(a + b)(a - b) = a^{2} - b^{2}

⇒ x + iy = \dfrac{15-10i-3i+2i^2}{9-4i^2}

⇒ x + iy = \dfrac{15-13i+2(-1)}{9-4(-1)} [ ∵ i^{2} =-1]

⇒ x + iy = \dfrac{15-2-13i}{9+4}

⇒ x + iy = \dfrac{13-13i}{13}

⇒ x + iy = \dfrac{13(1-i)}{13}

⇒ x + iy = 1 - i

Thus, the given complex number in standard form as "1 - i".

5 0
3 years ago
What type of number is −0.5/ −0.5
Ede4ka [16]

Answer:

\frac{ - 0.5}{ - 0.5}  = 1 \\

1 is a whole number, an integer, and rational.

Step-by-step explanation:

  • HOPE THIS HELPS.
7 0
2 years ago
Humma has 3 apples. She slices each apple into eighths. How many 1/4 apple slices does she have?
nlexa [21]
8 1/4 appe slices is the answer
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Is 32.725 = to 32.735
Arturiano [62]

Answer:

no it is not 32.725 is 0.01 less than

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Write a proportion that could be used to solve for each variable.
Ivahew [28]

Answer:

6 buttons per package

Step-by-step explanation:

6 x 4=24

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