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grandymaker [24]
3 years ago
10

Find the quotient of these complex numbers.

Mathematics
1 answer:
stich3 [128]3 years ago
8 0

9514 1404 393

Answer:

  C.  (45+11i)/29

Step-by-step explanation:

Multiply numerator and denominator by the conjugate of the denominator.

  \dfrac{5-7i}{2-5i}=\dfrac{(5-7i)(2+5i)}{(2-5i)(2+5i)}=\dfrac{(5)(2)+(-7i)(5i) +(5)(5i)+(-7i)(2)}{2^2+5^2}\\\\=\dfrac{(10+35)+(24-14)i}{29}=\boxed{\dfrac{45}{29}+\dfrac{11}{29}i}

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What is the slope of the line x = 4y - 24? Show your work. [Please help me here I'm dying I'm giving 65 points]
nydimaria [60]

Answer:

0.25

Step-by-step explanation:

x = 4y - 24

-4y       -4y

-4y + x = - 24

-x            -x

-4y = -x - 24

/-4      /-4

y = 0.25x + 6

slope is 0.25

3 0
3 years ago
Read 2 more answers
Secant TP and tangent TR intersect at point T Chord SR and chord PO intersect
DochEvi [55]

Answer:

(C)x=11.6, y=23.2

Step-by-step explanation:

Using Theorem of Intersecting Secant and Tangent

TQ$ X TP=TR^2

10(10+x+4)=16^2\\10(14+x)=256\\140+10x=256\\10x=256-140\\10x=116\\$Divide both sides by 10\\x=11.6

Next, we apply Theorem of Intersecting Chords

PV X VQ=SV X VR

4 X x= 2 X y

Recall: x=11.6

2y=4 X 11.6

2y=46.4

y=46.4/2=23.2

Therefore: x=11.6, y=23.2

The correct option is C

4 0
4 years ago
Spencer owns horses, and the nearest horse vet is 8 centimeters away from Spencers stable on a map. If the scale of the map is 1
Deffense [45]

Answer:

The actual distance is 56 km

Step-by-step explanation:

We can use ratio's to solve this problem

1 cm            8cm

---------- = -----------------

7 km           x km

Using cross products

1 * x = 8 * 7

x = 56

x = 56 km

4 0
3 years ago
What fraction is equivalent to 2 over negative 3
JulsSmile [24]

Answer:

-2/3 or negative two thirds. Other examples of -2/3 could be -4/6, -8/12, and -10/15.

Step-by-step explanation:

To get equivalent fractions, just multiply the numerator and denominator by the same number.

8 0
4 years ago
Read 2 more answers
Woman salary is $2,800 in 1988 and was 15% more in 1989. If she paid a tax of 12.5% of her salary, how much tax did she pay in 1
iris [78.8K]

So first step is to find out how much the woman's salary is in 1989. We can do this by multiplying 0.15 (15% in decimal form) and $2,800 together, then adding that product by $2,800.

2800*0.15= \$ 420\\ 2800+420= \$ 3220

The woman makes $3,220 in 1989.

To find how much tax she pays in 1989, just multiply 0.125 (12.5% in decimal form) and 3220 together:

3220*0.125= \$ 402.50

In short, the woman paid $402.50 in tax in 1989.

5 0
4 years ago
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